Q: What are the prime factors of the number 62,051,520?

 A: 2, 3, 5, 109, 593

Why are those the prime factors of the number 62,051,520?

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 62,051,520

62,051,520
Factor Arrows
231,025,760
Factor Arrows
215,512,880
Factor Arrows
27,756,440
Factor Arrows
23,878,220
Factor Arrows
21,939,110
Factor Arrows
2969,555
Factor Arrows
3323,185
Factor Arrows
564,637
Factor Arrows
109593

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, 5, 109, 593

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 3 x 5 x 109 x 593 = 62,051,520

This can also be written as 26 x 31 x 51 x 1091 x 5931 = 62,051,520

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


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