Q: What are the prime factors of the number 403,041,060?

 A: 2, 3, 5, 103, 21739

Why are those the prime factors of the number 403,041,060?

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 403,041,060

403,041,060
Factor Arrows
2201,520,530
Factor Arrows
2100,760,265
Factor Arrows
333,586,755
Factor Arrows
311,195,585
Factor Arrows
52,239,117
Factor Arrows
10321,739

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, 103, 21739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 103 x 21,739 = 403,041,060

This can also be written as 22 x 32 x 51 x 1031 x 21,7391 = 403,041,060

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


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