Q: What are the prime factors of the number 403,011,024?

 A: 2, 3, 13, 645851

Why are those the prime factors of the number 403,011,024?

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 403,011,024

403,011,024
Factor Arrows
2201,505,512
Factor Arrows
2100,752,756
Factor Arrows
250,376,378
Factor Arrows
225,188,189
Factor Arrows
38,396,063
Factor Arrows
13645,851

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, 13, 645851

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 645,851 = 403,011,024

This can also be written as 24 x 31 x 131 x 645,8511 = 403,011,024

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


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