Q: What are the prime factors of the number 755,636?

 A: 2, 7, 26987

Why are those the prime factors of the number 755,636?

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 755,636

755,636
Factor Arrows
2377,818
Factor Arrows
2188,909
Factor Arrows
726,987

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, 7, 26987

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 26,987 = 755,636

This can also be written as 22 x 71 x 26,9871 = 755,636

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


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