Q: What are the prime factors of the number 118,520,544?

 A: 2, 3, 277, 4457

Why are those the prime factors of the number 118,520,544?

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 118,520,544

118,520,544
Factor Arrows
259,260,272
Factor Arrows
229,630,136
Factor Arrows
214,815,068
Factor Arrows
27,407,534
Factor Arrows
23,703,767
Factor Arrows
31,234,589
Factor Arrows
2774,457

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, 277, 4457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 277 x 4,457 = 118,520,544

This can also be written as 25 x 31 x 2771 x 4,4571 = 118,520,544

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


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