Q: What are the prime factors of the number 1,251,525?

 A: 3, 5, 11, 37, 41

Why are those the prime factors of the number 1,251,525?

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 1,251,525

1,251,525
Factor Arrows
3417,175
Factor Arrows
583,435
Factor Arrows
516,687
Factor Arrows
111,517
Factor Arrows
3741

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:

3, 5, 11, 37, 41

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 11 x 37 x 41 = 1,251,525

This can also be written as 31 x 52 x 111 x 371 x 411 = 1,251,525

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


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