Q: What are the prime factors of the number 117,004,575?

 A: 3, 5, 953, 1637

Why are those the prime factors of the number 117,004,575?

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 117,004,575

117,004,575
Factor Arrows
339,001,525
Factor Arrows
57,800,305
Factor Arrows
51,560,061
Factor Arrows
9531,637

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, 953, 1637

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 953 x 1,637 = 117,004,575

This can also be written as 31 x 52 x 9531 x 1,6371 = 117,004,575

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


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