Q: What are the prime factors of the number 52,622,680?

 A: 2, 5, 11, 41, 2917

Why are those the prime factors of the number 52,622,680?

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 52,622,680

52,622,680
Factor Arrows
226,311,340
Factor Arrows
213,155,670
Factor Arrows
26,577,835
Factor Arrows
51,315,567
Factor Arrows
11119,597
Factor Arrows
412,917

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, 11, 41, 2917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 41 x 2,917 = 52,622,680

This can also be written as 23 x 51 x 111 x 411 x 2,9171 = 52,622,680

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


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