Q: What are the prime factors of the number 1,425,132?

 A: 2, 3, 31, 1277

Why are those the prime factors of the number 1,425,132?

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 1,425,132

1,425,132
Factor Arrows
2712,566
Factor Arrows
2356,283
Factor Arrows
3118,761
Factor Arrows
339,587
Factor Arrows
311,277

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, 31, 1277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 31 x 1,277 = 1,425,132

This can also be written as 22 x 32 x 311 x 1,2771 = 1,425,132

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


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