Q: What are the prime factors of the number 2,336,931?

 A: 3, 59, 163

Why are those the prime factors of the number 2,336,931?

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 2,336,931

2,336,931
Factor Arrows
3778,977
Factor Arrows
3259,659
Factor Arrows
386,553
Factor Arrows
328,851
Factor Arrows
39,617
Factor Arrows
59163

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:

3, 59, 163

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 59 x 163 = 2,336,931

This can also be written as 35 x 591 x 1631 = 2,336,931

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


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