Q: What are the prime factors of the number 135,060,736?

 A: 2, 527581

Why are those the prime factors of the number 135,060,736?

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 135,060,736

135,060,736
Factor Arrows
267,530,368
Factor Arrows
233,765,184
Factor Arrows
216,882,592
Factor Arrows
28,441,296
Factor Arrows
24,220,648
Factor Arrows
22,110,324
Factor Arrows
21,055,162
Factor Arrows
2527,581

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, 527581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 527,581 = 135,060,736

This can also be written as 28 x 527,5811 = 135,060,736

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


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