Q: What are the prime factors of the number 62,244,560?

 A: 2, 5, 7, 41, 2711

Why are those the prime factors of the number 62,244,560?

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 62,244,560

62,244,560
Factor Arrows
231,122,280
Factor Arrows
215,561,140
Factor Arrows
27,780,570
Factor Arrows
23,890,285
Factor Arrows
5778,057
Factor Arrows
7111,151
Factor Arrows
412,711

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, 7, 41, 2711

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 41 x 2,711 = 62,244,560

This can also be written as 24 x 51 x 71 x 411 x 2,7111 = 62,244,560

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


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