Q: What are the prime factors of the number 28,604,370?

 A: 2, 3, 5, 17, 56087

Why are those the prime factors of the number 28,604,370?

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 28,604,370

28,604,370
Factor Arrows
214,302,185
Factor Arrows
34,767,395
Factor Arrows
5953,479
Factor Arrows
1756,087

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, 5, 17, 56087

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 17 x 56,087 = 28,604,370

This can also be written as 21 x 31 x 51 x 171 x 56,0871 = 28,604,370

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


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