Q: What are the prime factors of the number 400,530,357?

 A: 3, 547, 81359

Why are those the prime factors of the number 400,530,357?

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 400,530,357

400,530,357
Factor Arrows
3133,510,119
Factor Arrows
344,503,373
Factor Arrows
54781,359

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:

3, 547, 81359

We can check our work by multiplying all of the prime factors together: 3 x 3 x 547 x 81,359 = 400,530,357

This can also be written as 32 x 5471 x 81,3591 = 400,530,357

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


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