Q: What are the prime factors of the number 160,908,336?

 A: 2, 3, 372473

Why are those the prime factors of the number 160,908,336?

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 160,908,336

160,908,336
Factor Arrows
280,454,168
Factor Arrows
240,227,084
Factor Arrows
220,113,542
Factor Arrows
210,056,771
Factor Arrows
33,352,257
Factor Arrows
31,117,419
Factor Arrows
3372,473

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, 372473

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 372,473 = 160,908,336

This can also be written as 24 x 33 x 372,4731 = 160,908,336

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


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