Q: What are the prime factors of the number 1,015,632?

 A: 2, 3, 2351

Why are those the prime factors of the number 1,015,632?

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 1,015,632

1,015,632
Factor Arrows
2507,816
Factor Arrows
2253,908
Factor Arrows
2126,954
Factor Arrows
263,477
Factor Arrows
321,159
Factor Arrows
37,053
Factor Arrows
32,351

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, 2351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 2,351 = 1,015,632

This can also be written as 24 x 33 x 2,3511 = 1,015,632

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


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