Q: What are the prime factors of the number 52,051,264?

 A: 2, 813301

Why are those the prime factors of the number 52,051,264?

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 52,051,264

52,051,264
Factor Arrows
226,025,632
Factor Arrows
213,012,816
Factor Arrows
26,506,408
Factor Arrows
23,253,204
Factor Arrows
21,626,602
Factor Arrows
2813,301

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, 813301

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 813,301 = 52,051,264

This can also be written as 26 x 813,3011 = 52,051,264

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


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