Q: What are the prime factors of the number 341,466,160?

 A: 2, 5, 7, 233, 2617

Why are those the prime factors of the number 341,466,160?

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 341,466,160

341,466,160
Factor Arrows
2170,733,080
Factor Arrows
285,366,540
Factor Arrows
242,683,270
Factor Arrows
221,341,635
Factor Arrows
54,268,327
Factor Arrows
7609,761
Factor Arrows
2332,617

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, 7, 233, 2617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 233 x 2,617 = 341,466,160

This can also be written as 24 x 51 x 71 x 2331 x 2,6171 = 341,466,160

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


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