Q: What are the prime factors of the number 1,132,072?

 A: 2, 141509

Why are those the prime factors of the number 1,132,072?

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 1,132,072

1,132,072
Factor Arrows
2566,036
Factor Arrows
2283,018
Factor Arrows
2141,509

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, 141509

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 141,509 = 1,132,072

This can also be written as 23 x 141,5091 = 1,132,072

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


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