Q: What are the prime factors of the number 127,161,615?

 A: 3, 5, 7, 17, 10177

Why are those the prime factors of the number 127,161,615?

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 127,161,615

127,161,615
Factor Arrows
342,387,205
Factor Arrows
58,477,441
Factor Arrows
71,211,063
Factor Arrows
7173,009
Factor Arrows
1710,177

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, 7, 17, 10177

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 7 x 17 x 10,177 = 127,161,615

This can also be written as 31 x 51 x 72 x 171 x 10,1771 = 127,161,615

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


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