Q: What are the prime factors of the number 161,640,270?

 A: 2, 3, 5, 11, 14843

Why are those the prime factors of the number 161,640,270?

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 161,640,270

161,640,270
Factor Arrows
280,820,135
Factor Arrows
326,940,045
Factor Arrows
38,980,015
Factor Arrows
51,796,003
Factor Arrows
11163,273
Factor Arrows
1114,843

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, 5, 11, 14843

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 11 x 11 x 14,843 = 161,640,270

This can also be written as 21 x 32 x 51 x 112 x 14,8431 = 161,640,270

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


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