Q: What are the prime factors of the number 1,537,914?

 A: 2, 3, 7, 5231

Why are those the prime factors of the number 1,537,914?

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 1,537,914

1,537,914
Factor Arrows
2768,957
Factor Arrows
3256,319
Factor Arrows
736,617
Factor Arrows
75,231

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, 7, 5231

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 7 x 5,231 = 1,537,914

This can also be written as 21 x 31 x 72 x 5,2311 = 1,537,914

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


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