Q: What are the prime factors of the number 161,101,056?

 A: 2, 3, 209767

Why are those the prime factors of the number 161,101,056?

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 161,101,056

161,101,056
Factor Arrows
280,550,528
Factor Arrows
240,275,264
Factor Arrows
220,137,632
Factor Arrows
210,068,816
Factor Arrows
25,034,408
Factor Arrows
22,517,204
Factor Arrows
21,258,602
Factor Arrows
2629,301
Factor Arrows
3209,767

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, 209767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 209,767 = 161,101,056

This can also be written as 28 x 31 x 209,7671 = 161,101,056

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


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