Q: What are the prime factors of the number 117,741,745?

 A: 5, 11, 17, 125927

Why are those the prime factors of the number 117,741,745?

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 117,741,745

117,741,745
Factor Arrows
523,548,349
Factor Arrows
112,140,759
Factor Arrows
17125,927

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:

5, 11, 17, 125927

We can check our work by multiplying all of the prime factors together: 5 x 11 x 17 x 125,927 = 117,741,745

This can also be written as 51 x 111 x 171 x 125,9271 = 117,741,745

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


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