1 Answer
How do i factor numbers on a ti-30xs calculator
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
Dec 18, 2013 |
Texas Instruments TI-30XA Calculator
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