Q: What are the prime factors of the number 156,131,550?

 A: 2, 3, 5, 19, 2029

Why are those the prime factors of the number 156,131,550?

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 156,131,550

156,131,550
Factor Arrows
278,065,775
Factor Arrows
326,021,925
Factor Arrows
38,673,975
Factor Arrows
32,891,325
Factor Arrows
3963,775
Factor Arrows
5192,755
Factor Arrows
538,551
Factor Arrows
192,029

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, 3, 5, 19, 2029

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 19 x 2,029 = 156,131,550

This can also be written as 21 x 34 x 52 x 191 x 2,0291 = 156,131,550

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


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