Q: What are the prime factors of the number 20,827,675?

 A: 5, 11, 53, 1429

Why are those the prime factors of the number 20,827,675?

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 20,827,675

20,827,675
Factor Arrows
54,165,535
Factor Arrows
5833,107
Factor Arrows
1175,737
Factor Arrows
531,429

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, 11, 53, 1429

We can check our work by multiplying all of the prime factors together: 5 x 5 x 11 x 53 x 1,429 = 20,827,675

This can also be written as 52 x 111 x 531 x 1,4291 = 20,827,675

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


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