Q: What are the prime factors of the number 8,037,232?

 A: 2, 7, 71761

Why are those the prime factors of the number 8,037,232?

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 8,037,232

8,037,232
Factor Arrows
24,018,616
Factor Arrows
22,009,308
Factor Arrows
21,004,654
Factor Arrows
2502,327
Factor Arrows
771,761

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, 71761

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 71,761 = 8,037,232

This can also be written as 24 x 71 x 71,7611 = 8,037,232

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


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