Q: What are the prime factors of the number 62,160,264?

 A: 2, 3, 41, 7019

Why are those the prime factors of the number 62,160,264?

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 62,160,264

62,160,264
Factor Arrows
231,080,132
Factor Arrows
215,540,066
Factor Arrows
27,770,033
Factor Arrows
32,590,011
Factor Arrows
3863,337
Factor Arrows
3287,779
Factor Arrows
417,019

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, 41, 7019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 41 x 7,019 = 62,160,264

This can also be written as 23 x 33 x 411 x 7,0191 = 62,160,264

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


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