Q: What are the prime factors of the number 11,312,575?

 A: 5, 107, 4229

Why are those the prime factors of the number 11,312,575?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 11,312,575

11,312,575
Factor Arrows
52,262,515
Factor Arrows
5452,503
Factor Arrows
1074,229

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

5, 107, 4229

We can check our work by multiplying all of the prime factors together: 5 x 5 x 107 x 4,229 = 11,312,575

This can also be written as 52 x 1071 x 4,2291 = 11,312,575

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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