Q: What are the prime factors of the number 135,544,220?

 A: 2, 5, 7, 968173

Why are those the prime factors of the number 135,544,220?

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 135,544,220

135,544,220
Factor Arrows
267,772,110
Factor Arrows
233,886,055
Factor Arrows
56,777,211
Factor Arrows
7968,173

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, 968173

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 968,173 = 135,544,220

This can also be written as 22 x 51 x 71 x 968,1731 = 135,544,220

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


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