Q: What are the prime factors of the number 150,444,018?

 A: 2, 3, 151, 55351

Why are those the prime factors of the number 150,444,018?

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 150,444,018

150,444,018
Factor Arrows
275,222,009
Factor Arrows
325,074,003
Factor Arrows
38,358,001
Factor Arrows
15155,351

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, 151, 55351

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 151 x 55,351 = 150,444,018

This can also be written as 21 x 32 x 1511 x 55,3511 = 150,444,018

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


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