Q: What are the prime factors of the number 13,421,646?

 A: 2, 3, 7, 35507

Why are those the prime factors of the number 13,421,646?

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 13,421,646

13,421,646
Factor Arrows
26,710,823
Factor Arrows
32,236,941
Factor Arrows
3745,647
Factor Arrows
3248,549
Factor Arrows
735,507

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, 35507

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 35,507 = 13,421,646

This can also be written as 21 x 33 x 71 x 35,5071 = 13,421,646

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


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