Q: What are the prime factors of the number 1,324,314?

 A: 2, 3, 29, 43, 59

Why are those the prime factors of the number 1,324,314?

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 1,324,314

1,324,314
Factor Arrows
2662,157
Factor Arrows
3220,719
Factor Arrows
373,573
Factor Arrows
292,537
Factor Arrows
4359

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, 43, 59

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 29 x 43 x 59 = 1,324,314

This can also be written as 21 x 32 x 291 x 431 x 591 = 1,324,314

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


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