Q: What are the prime factors of the number 400,646,504?

 A: 2, 53, 109, 8669

Why are those the prime factors of the number 400,646,504?

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 400,646,504

400,646,504
Factor Arrows
2200,323,252
Factor Arrows
2100,161,626
Factor Arrows
250,080,813
Factor Arrows
53944,921
Factor Arrows
1098,669

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, 53, 109, 8669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 53 x 109 x 8,669 = 400,646,504

This can also be written as 23 x 531 x 1091 x 8,6691 = 400,646,504

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


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