Q: What are the prime factors of the number 8,012,732?

 A: 2, 7, 13, 22013

Why are those the prime factors of the number 8,012,732?

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 8,012,732

8,012,732
Factor Arrows
24,006,366
Factor Arrows
22,003,183
Factor Arrows
7286,169
Factor Arrows
1322,013

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, 7, 13, 22013

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13 x 22,013 = 8,012,732

This can also be written as 22 x 71 x 131 x 22,0131 = 8,012,732

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


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