Q: What are the prime factors of the number 135,550?

 A: 2, 5, 2711

Why are those the prime factors of the number 135,550?

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 135,550

135,550
Factor Arrows
267,775
Factor Arrows
513,555
Factor Arrows
52,711

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, 2711

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 2,711 = 135,550

This can also be written as 21 x 52 x 2,7111 = 135,550

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


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