Q: What are the prime factors of the number 171,360,012?

 A: 2, 3, 19, 751579

Why are those the prime factors of the number 171,360,012?

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 171,360,012

171,360,012
Factor Arrows
285,680,006
Factor Arrows
242,840,003
Factor Arrows
314,280,001
Factor Arrows
19751,579

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:

2, 3, 19, 751579

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 751,579 = 171,360,012

This can also be written as 22 x 31 x 191 x 751,5791 = 171,360,012

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


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