Q: What are the prime factors of the number 10,041,528?

 A: 2, 3, 7, 59771

Why are those the prime factors of the number 10,041,528?

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 10,041,528

10,041,528
Factor Arrows
25,020,764
Factor Arrows
22,510,382
Factor Arrows
21,255,191
Factor Arrows
3418,397
Factor Arrows
759,771

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, 7, 59771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 59,771 = 10,041,528

This can also be written as 23 x 31 x 71 x 59,7711 = 10,041,528

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


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