Q: What are the prime factors of the number 15,907,542?

 A: 2, 3, 7, 67, 5653

Why are those the prime factors of the number 15,907,542?

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 15,907,542

15,907,542
Factor Arrows
27,953,771
Factor Arrows
32,651,257
Factor Arrows
7378,751
Factor Arrows
675,653

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, 67, 5653

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 67 x 5,653 = 15,907,542

This can also be written as 21 x 31 x 71 x 671 x 5,6531 = 15,907,542

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


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