Q: What are the prime factors of the number 114,014,115?

 A: 3, 5, 844549

Why are those the prime factors of the number 114,014,115?

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 114,014,115

114,014,115
Factor Arrows
338,004,705
Factor Arrows
312,668,235
Factor Arrows
34,222,745
Factor Arrows
5844,549

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:

3, 5, 844549

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 844,549 = 114,014,115

This can also be written as 33 x 51 x 844,5491 = 114,014,115

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


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