Q: What are the prime factors of the number 135,546,160?

 A: 2, 5, 1694327

Why are those the prime factors of the number 135,546,160?

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 135,546,160

135,546,160
Factor Arrows
267,773,080
Factor Arrows
233,886,540
Factor Arrows
216,943,270
Factor Arrows
28,471,635
Factor Arrows
51,694,327

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, 1694327

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,694,327 = 135,546,160

This can also be written as 24 x 51 x 1,694,3271 = 135,546,160

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


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