Q: What are the prime factors of the number 60,633,344?

 A: 2, 239, 991

Why are those the prime factors of the number 60,633,344?

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 60,633,344

60,633,344
Factor Arrows
230,316,672
Factor Arrows
215,158,336
Factor Arrows
27,579,168
Factor Arrows
23,789,584
Factor Arrows
21,894,792
Factor Arrows
2947,396
Factor Arrows
2473,698
Factor Arrows
2236,849
Factor Arrows
239991

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, 239, 991

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 2 x 2 x 239 x 991 = 60,633,344

This can also be written as 28 x 2391 x 9911 = 60,633,344

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


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