Q: What are the prime factors of the number 1,327,488?

 A: 2, 3, 3457

Why are those the prime factors of the number 1,327,488?

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 1,327,488

1,327,488
Factor Arrows
2663,744
Factor Arrows
2331,872
Factor Arrows
2165,936
Factor Arrows
282,968
Factor Arrows
241,484
Factor Arrows
220,742
Factor Arrows
210,371
Factor Arrows
33,457

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, 3457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3,457 = 1,327,488

This can also be written as 27 x 31 x 3,4571 = 1,327,488

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


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