Q: What are the prime factors of the number 360,412,731?

 A: 3, 7, 5720837

Why are those the prime factors of the number 360,412,731?

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 360,412,731

360,412,731
Factor Arrows
3120,137,577
Factor Arrows
340,045,859
Factor Arrows
75,720,837

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, 7, 5720837

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 5,720,837 = 360,412,731

This can also be written as 32 x 71 x 5,720,8371 = 360,412,731

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


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