Q: What are the prime factors of the number 155,111,336?

 A: 2, 89, 131, 1663

Why are those the prime factors of the number 155,111,336?

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 155,111,336

155,111,336
Factor Arrows
277,555,668
Factor Arrows
238,777,834
Factor Arrows
219,388,917
Factor Arrows
89217,853
Factor Arrows
1311,663

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, 89, 131, 1663

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 89 x 131 x 1,663 = 155,111,336

This can also be written as 23 x 891 x 1311 x 1,6631 = 155,111,336

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


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