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If you know the prime factorization of a number, you can find out the total number of factors.
Example: 210
21 x 31 x 51 x 71 = 210
Add one to the exponents and multiply them.
2 x 2 x 2 x 2 = 16, the total number of factors.
You know that 1, 2, 3, 5, and 7 are factors. You need three more to get halfway.
2 x 3 = 6
2 x 5 = 10
2 x 7 = 14
Divide all those numbers into 210.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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How do you use a factors trees to find the prime factorization of 120?
120 60,2 30,2,2 15,2,2,2 5,3,2,2,2
How do you use prime factorization to see if they are relatively prime?
If your numbers have no prime factors in common, they are relatively prime.
How do you use a factors trees to find the prime factorization of 128?
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2
Find the prime factorization of 1300 use exponents when repeated factors appear?
22 x 52 x 13
How can you use prime factorization to know if two numbers are prime?
A prime number has no factors other than 1 and the number itself. If prime factorization of a number reveals one or more additional prime factors, the number is a composite.
