Q: What are the prime factors of the number 20,727,250?

 A: 2, 5, 17, 4877

Why are those the prime factors of the number 20,727,250?

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 20,727,250

20,727,250
Factor Arrows
210,363,625
Factor Arrows
52,072,725
Factor Arrows
5414,545
Factor Arrows
582,909
Factor Arrows
174,877

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, 17, 4877

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 5 x 17 x 4,877 = 20,727,250

This can also be written as 21 x 53 x 171 x 4,8771 = 20,727,250

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


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