Q: What are the prime factors of the number 52,270,270?

 A: 2, 5, 13, 37, 10867

Why are those the prime factors of the number 52,270,270?

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 52,270,270

52,270,270
Factor Arrows
226,135,135
Factor Arrows
55,227,027
Factor Arrows
13402,079
Factor Arrows
3710,867

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, 13, 37, 10867

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 37 x 10,867 = 52,270,270

This can also be written as 21 x 51 x 131 x 371 x 10,8671 = 52,270,270

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


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