Q: What are the prime factors of the number 610,392?

 A: 2, 3, 29, 877

Why are those the prime factors of the number 610,392?

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 610,392

610,392
Factor Arrows
2305,196
Factor Arrows
2152,598
Factor Arrows
276,299
Factor Arrows
325,433
Factor Arrows
29877

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, 29, 877

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 29 x 877 = 610,392

This can also be written as 23 x 31 x 291 x 8771 = 610,392

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


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