Q: What are the prime factors of the number 155,505,536?

 A: 2, 547, 2221

Why are those the prime factors of the number 155,505,536?

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 155,505,536

155,505,536
Factor Arrows
277,752,768
Factor Arrows
238,876,384
Factor Arrows
219,438,192
Factor Arrows
29,719,096
Factor Arrows
24,859,548
Factor Arrows
22,429,774
Factor Arrows
21,214,887
Factor Arrows
5472,221

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, 547, 2221

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 547 x 2,221 = 155,505,536

This can also be written as 27 x 5471 x 2,2211 = 155,505,536

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


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