Q: What are the prime factors of the number 870,732?

 A: 2, 3, 19, 67

Why are those the prime factors of the number 870,732?

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 870,732

870,732
Factor Arrows
2435,366
Factor Arrows
2217,683
Factor Arrows
372,561
Factor Arrows
324,187
Factor Arrows
191,273
Factor Arrows
1967

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, 19, 67

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 19 x 67 = 870,732

This can also be written as 22 x 32 x 192 x 671 = 870,732

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


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