Question about Computers & Internet

The prime factors of 13195 are 5,7,13,& 29...so 29 is the largest prime factor of 13195. what is the largest prime factor of the number 600851475143?

#include<stdio.h>

#include<conio.h>

void main()

{

int num,i=1,j,k;

clrscr();

printf("\nEnter a number:");

scanf("%d",&num);

while(i<=num)

{

k=0;

if(num%i==0)

{

j=1;

while(j<=i)

{

if(i%j==0)

k++; j++;

}

if(k==2)

printf("\n%d is a prime factor",i);

}

i++;

}

getch();

}

Posted on May 16, 2009

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Posted on Jan 02, 2017

A **factor** that is a **prime** number. Any of the **prime** numbers that, when multiplied, give the original number. Example: The**prime factors** of 15 are 3 and 5 (3×5=15, and 3 and 5 are**prime** numbers).

Jun 15, 2017 | Prime Computers & Internet

We want to divide the top and bottom numbers by the largest possible number to make the numerator and denominator the smallest possible. We can determine that number by factoring both 192 000 and 650 and see what the biggest common factor is. Another approach is to simplify it step by step.

Let's try the step-by-step method.

Since both end in 0, let's divide both by 10.

19 200 : 65

Since they both end with 0 or 5, we can divide both by 5

3 840 : 13

Since 13 is prime (its only factors are 1 and 13) and 13 doesn't go evenly into 3 840, we cannot go any further.

Good luck,

Paul

Let's try the step-by-step method.

Since both end in 0, let's divide both by 10.

19 200 : 65

Since they both end with 0 or 5, we can divide both by 5

3 840 : 13

Since 13 is prime (its only factors are 1 and 13) and 13 doesn't go evenly into 3 840, we cannot go any further.

Good luck,

Paul

May 16, 2017 | Homework

By changing the number for your prime factorization, you also have a different diagram.

Prime factorization for 66

** 66**

** /\**

** 2*33**

** /\**

** 3*11**

Even if we change the prime factorization order, we still have the same numbers.

**66 = 2 * 3 * 11**

Prime factorization for 66

Even if we change the prime factorization order, we still have the same numbers.

Feb 23, 2017 | Cars & Trucks

There is a program on page 253 of the manual (http://support.casio.com/manualfile.php?rgn=5&cid=004002013) to get the prime factors of any number. You could modify the program to get all the factors.

Another way would be to do it manually. I start with the number 1 and go up to the square root of the number. The square root of 120 is 10.95, so let's go up to 11. Using 120 as an example:

120 /1 = 120 thus factor is (1, 120)

120/2 = 60 thus factor is (2, 60)

120/3 = 40 thus factor is (3, 40)

120/4 = 30 thus factor is (4, 30)

120/5 = 24 thus factor is (5, 24)

120/6 = 20 thus factor is (6, 20)

120/7 = 1.7 thus 7 not a factor

120/8 = 15 thus factor is (8,15)

120/9 = 13.3 thus 9 is not a factor

120/10 = 12 thus factor is (10,12)

120/11 = 10.9 thus 11 is not a factor.

Good luck.

Paul

Another way would be to do it manually. I start with the number 1 and go up to the square root of the number. The square root of 120 is 10.95, so let's go up to 11. Using 120 as an example:

120 /1 = 120 thus factor is (1, 120)

120/2 = 60 thus factor is (2, 60)

120/3 = 40 thus factor is (3, 40)

120/4 = 30 thus factor is (4, 30)

120/5 = 24 thus factor is (5, 24)

120/6 = 20 thus factor is (6, 20)

120/7 = 1.7 thus 7 not a factor

120/8 = 15 thus factor is (8,15)

120/9 = 13.3 thus 9 is not a factor

120/10 = 12 thus factor is (10,12)

120/11 = 10.9 thus 11 is not a factor.

Good luck.

Paul

Jul 05, 2015 | Casio FX-9750GII Graphing Calculator

I do not think that the FX115ES can give you the prime factor decomposition of a number. The FX115ES Plus may do it.

On the FX991 ES Plus there is key marked FACT.. It is the one between the Change sign key (-) and the HYPerbolic key.

I am afraid you will have to do the decomposition of the two numbers by hand. For example

1440=(2^5)(3^2)(5)

700=(2^2)(5^2)(7)

By multiplying the two number you can get a multiple of both but it won't be the smallest.

What you do is scan the two decompositions to identify the various prime factors, 2,3,5, 7

All those factors must be present in the LCM. For each prime factor, select the largest exponent . This is going to be 5 for factor 2, 2 for factor 3, 2 for factor 5, and 1 for factor 7

Hence**LCM(1440,700)= (2^5)(3^2)(5^2)(7^1)=50400**

Verify that 50400/1440=35 and 50400/700=72

On the FX991 ES Plus there is key marked FACT.. It is the one between the Change sign key (-) and the HYPerbolic key.

I am afraid you will have to do the decomposition of the two numbers by hand. For example

1440=(2^5)(3^2)(5)

700=(2^2)(5^2)(7)

By multiplying the two number you can get a multiple of both but it won't be the smallest.

What you do is scan the two decompositions to identify the various prime factors, 2,3,5, 7

All those factors must be present in the LCM. For each prime factor, select the largest exponent . This is going to be 5 for factor 2, 2 for factor 3, 2 for factor 5, and 1 for factor 7

Hence

Verify that 50400/1440=35 and 50400/700=72

Sep 22, 2014 | Casio FX-115ES Scientific Calculator

There is nothing you can do to make the calculator find the HCF for you. No point complaining about that. But if you are interested in doing it by hand (using the calculator to do the divisions for you) here how it is done.

**Example: **Here are the decompositions of two numbers

(2^5)*3***(5^4)**(7^3)***11** and **(2^3)***(5^6)*(11^2)***7**

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each common prime factor. They are represented in** bold font**s.

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

**(2^3)*(5^4)*7*11**

- Decompose the first number in prime factors. If a prime factor is repeated use the exponent notation:
**That helps.** **D**ecompose the second number in prime factors too, using the exponent notation.- Now look at the two decompositions. If a prime factor
**is present in both decompositions**it must be in the HCD /HCF, with the smallest of its two exponents. - Do that for all prime factors

(2^5)*3*

The prime factors that are present in both decompositions are

2, 5, 7, and 11

From the two decompositions select the smallest power of each common prime factor. They are represented in

2^3, 5^4, 7, 11

The highest common divisor/Highest common factor is

Mar 27, 2014 | Casio Office Equipment & Supplies

This calculator does not have a key that you can use to find the prime factor of an integer.

You can however use the calculator to find the factors

1.** If number is even divide it by 2**

Keep dividing by 2, while keeping track of how many times you divided by 2.

If you divided 5 times by 2 before getting an odd number, then your first factor is 2^5

2.**Now try dividing by 3**, keep track of the number of times you divided by 3 before you could not divide by 3 any more. If you divided 0 times by 3, your second factor is 3^0, or 1 and 3 is not a factor.

If you divided 4 times by 3, your second factor is 3^4

3.**Divide by 5,** until you can't any more. Keep track of the number of times you divided by 5.

4. Divide by all other prime numbers 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, etc. For each prime number, keep track of how many times you divided by it, until you could not any more.

**Example: 23100**

*Division by 2*

23100/2=11550 ---------> 1 division by 2

11550/2=5775 ----------> 2 divisions by 2

Note that 5775 is not divisible by 2.** No more divisions by 2. **

First factor is 2^2

*Division by 3:*

5775/3=1925 ----------> 1 division by 3

1925/3=641. 66667 Not an integer. No more divisions by 3.

**2nd factor is 3^1**

*Division by 5 (number ends in 5)*

1925/5 =385 -------> 1 division by 5

385/5=77 ----------> 2 divisions by 5 and no more (quotient does not end in 0 or 5)

**3rd factor is 5^2**

*Division by 7 *

77/7=11 --------> 1 division by 7, and no more

**4th factor is 7^1=7**

*Division by 11*

11/11=1

**5th factor is 11^1=11**

Assembling the factors 2^2, 3^1, 5^2, 7, 11

Prime factorization of 23100 is

**23100=(2^2)(3)(5^2)(7)11**

You can however use the calculator to find the factors

1.

Keep dividing by 2, while keeping track of how many times you divided by 2.

If you divided 5 times by 2 before getting an odd number, then your first factor is 2^5

2.

If you divided 4 times by 3, your second factor is 3^4

3.

4. Divide by all other prime numbers 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, etc. For each prime number, keep track of how many times you divided by it, until you could not any more.

23100/2=11550 ---------> 1 division by 2

11550/2=5775 ----------> 2 divisions by 2

Note that 5775 is not divisible by 2.

First factor is 2^2

5775/3=1925 ----------> 1 division by 3

1925/3=641. 66667 Not an integer. No more divisions by 3.

1925/5 =385 -------> 1 division by 5

385/5=77 ----------> 2 divisions by 5 and no more (quotient does not end in 0 or 5)

77/7=11 --------> 1 division by 7, and no more

11/11=1

Assembling the factors 2^2, 3^1, 5^2, 7, 11

Prime factorization of 23100 is

Dec 18, 2013 | Texas Instruments TI-30XA Calculator

"Prime Factorization" is finding **which prime numbers** multiply together to make the original number.

Example : What are the prime factors of 12 ?
It is best to start working from the smallest prime number, which is 2, so let's check:

12 ÷ 2 = 6

Yes, it divided evenly by 2. We have taken the first step!

But 6 is not a prime number, so we need to go further. Let's try 2 again:

6 ÷ 2 = 3

Yes, that worked also. And 3 **is** a prime number, so we have the answer:

**12 = 2 × 2 × 3**

As you can see, **every factor** is a **prime number**, so the answer must be right.

Note: **12 = 2 × 2 × 3** can also be written using exponents as **12 = 22 × 3**

Jun 22, 2011 | Computers & Internet

bool isprime;

isprime =

factor = 0;

// see if num is evenly divisible

// num is evenly divisible -- not prime

isprime =

factor = i;

}

}

Console.WriteLine(num + " is prime.");

Console.WriteLine("Largest factor of " + num +

" is " + factor);

}

}

}

Feb 01, 2011 | Computers & Internet

Aug 23, 2017 | Computers & Internet

Aug 23, 2017 | Computers & Internet

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