Q: What are the prime factors of the number 22,625,530?

 A: 2, 5, 211, 10723

Why are those the prime factors of the number 22,625,530?

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 22,625,530

22,625,530
Factor Arrows
211,312,765
Factor Arrows
52,262,553
Factor Arrows
21110,723

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, 5, 211, 10723

We can check our work by multiplying all of the prime factors together: 2 x 5 x 211 x 10,723 = 22,625,530

This can also be written as 21 x 51 x 2111 x 10,7231 = 22,625,530

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


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