Q: What are the prime factors of the number 52,513,520?

 A: 2, 5, 103, 6373

Why are those the prime factors of the number 52,513,520?

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 52,513,520

52,513,520
Factor Arrows
226,256,760
Factor Arrows
213,128,380
Factor Arrows
26,564,190
Factor Arrows
23,282,095
Factor Arrows
5656,419
Factor Arrows
1036,373

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, 103, 6373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 103 x 6,373 = 52,513,520

This can also be written as 24 x 51 x 1031 x 6,3731 = 52,513,520

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


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