Q: What are the prime factors of the number 151,106,622?

 A: 2, 3, 139, 181183

Why are those the prime factors of the number 151,106,622?

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 151,106,622

151,106,622
Factor Arrows
275,553,311
Factor Arrows
325,184,437
Factor Arrows
139181,183

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, 139, 181183

We can check our work by multiplying all of the prime factors together: 2 x 3 x 139 x 181,183 = 151,106,622

This can also be written as 21 x 31 x 1391 x 181,1831 = 151,106,622

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


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