Q: What are the prime factors of the number 162,160,356?

 A: 2, 3, 337, 40099

Why are those the prime factors of the number 162,160,356?

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 162,160,356

162,160,356
Factor Arrows
281,080,178
Factor Arrows
240,540,089
Factor Arrows
313,513,363
Factor Arrows
33740,099

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, 337, 40099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 337 x 40,099 = 162,160,356

This can also be written as 22 x 31 x 3371 x 40,0991 = 162,160,356

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


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