Q: What are the prime factors of the number 81,160,336?

 A: 2, 491, 10331

Why are those the prime factors of the number 81,160,336?

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 81,160,336

81,160,336
Factor Arrows
240,580,168
Factor Arrows
220,290,084
Factor Arrows
210,145,042
Factor Arrows
25,072,521
Factor Arrows
49110,331

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, 491, 10331

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 491 x 10,331 = 81,160,336

This can also be written as 24 x 4911 x 10,3311 = 81,160,336

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


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