Q: What are the prime factors of the number 122,067,375?

 A: 3, 5, 325513

Why are those the prime factors of the number 122,067,375?

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 122,067,375

122,067,375
Factor Arrows
340,689,125
Factor Arrows
58,137,825
Factor Arrows
51,627,565
Factor Arrows
5325,513

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, 325513

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 5 x 325,513 = 122,067,375

This can also be written as 31 x 53 x 325,5131 = 122,067,375

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


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