Q: What are the prime factors of the number 52,520,454?

 A: 2, 3, 7, 23, 863

Why are those the prime factors of the number 52,520,454?

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 52,520,454

52,520,454
Factor Arrows
226,260,227
Factor Arrows
38,753,409
Factor Arrows
32,917,803
Factor Arrows
3972,601
Factor Arrows
7138,943
Factor Arrows
719,849
Factor Arrows
23863

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, 3, 7, 23, 863

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 7 x 23 x 863 = 52,520,454

This can also be written as 21 x 33 x 72 x 231 x 8631 = 52,520,454

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


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