Q: What are the prime factors of the number 10,575,132?

 A: 2, 3, 251, 3511

Why are those the prime factors of the number 10,575,132?

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 10,575,132

10,575,132
Factor Arrows
25,287,566
Factor Arrows
22,643,783
Factor Arrows
3881,261
Factor Arrows
2513,511

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:

2, 3, 251, 3511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 251 x 3,511 = 10,575,132

This can also be written as 22 x 31 x 2511 x 3,5111 = 10,575,132

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


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