Q: What are the prime factors of the number 404,602,020?

 A: 2, 3, 5, 61, 71, 173

Why are those the prime factors of the number 404,602,020?

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 404,602,020

404,602,020
Factor Arrows
2202,301,010
Factor Arrows
2101,150,505
Factor Arrows
333,716,835
Factor Arrows
311,238,945
Factor Arrows
33,746,315
Factor Arrows
5749,263
Factor Arrows
6112,283
Factor Arrows
71173

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, 5, 61, 71, 173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 61 x 71 x 173 = 404,602,020

This can also be written as 22 x 33 x 51 x 611 x 711 x 1731 = 404,602,020

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


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