Q: What are the prime factors of the number 1,618,624?

 A: 2, 7, 3613

Why are those the prime factors of the number 1,618,624?

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 1,618,624

1,618,624
Factor Arrows
2809,312
Factor Arrows
2404,656
Factor Arrows
2202,328
Factor Arrows
2101,164
Factor Arrows
250,582
Factor Arrows
225,291
Factor Arrows
73,613

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, 7, 3613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 3,613 = 1,618,624

This can also be written as 26 x 71 x 3,6131 = 1,618,624

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


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