Q: What are the prime factors of the number 160,012,374?

 A: 2, 3, 43, 277, 2239

Why are those the prime factors of the number 160,012,374?

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 160,012,374

160,012,374
Factor Arrows
280,006,187
Factor Arrows
326,668,729
Factor Arrows
43620,203
Factor Arrows
2772,239

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, 43, 277, 2239

We can check our work by multiplying all of the prime factors together: 2 x 3 x 43 x 277 x 2,239 = 160,012,374

This can also be written as 21 x 31 x 431 x 2771 x 2,2391 = 160,012,374

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


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