Q: What are the prime factors of the number 161,077,760?

 A: 2, 5, 62921

Why are those the prime factors of the number 161,077,760?

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 161,077,760

161,077,760
Factor Arrows
280,538,880
Factor Arrows
240,269,440
Factor Arrows
220,134,720
Factor Arrows
210,067,360
Factor Arrows
25,033,680
Factor Arrows
22,516,840
Factor Arrows
21,258,420
Factor Arrows
2629,210
Factor Arrows
2314,605
Factor Arrows
562,921

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, 5, 62921

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 2 x 5 x 62,921 = 161,077,760

This can also be written as 29 x 51 x 62,9211 = 161,077,760

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


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