Q: What are the prime factors of the number 55,625,045?

 A: 5, 7, 29, 7829

Why are those the prime factors of the number 55,625,045?

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 55,625,045

55,625,045
Factor Arrows
511,125,009
Factor Arrows
71,589,287
Factor Arrows
7227,041
Factor Arrows
297,829

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:

5, 7, 29, 7829

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 29 x 7,829 = 55,625,045

This can also be written as 51 x 72 x 291 x 7,8291 = 55,625,045

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


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