Q: What are the prime factors of the number 62,360,512?

 A: 2, 974383

Why are those the prime factors of the number 62,360,512?

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 62,360,512

62,360,512
Factor Arrows
231,180,256
Factor Arrows
215,590,128
Factor Arrows
27,795,064
Factor Arrows
23,897,532
Factor Arrows
21,948,766
Factor Arrows
2974,383

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, 974383

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 974,383 = 62,360,512

This can also be written as 26 x 974,3831 = 62,360,512

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


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