Q: What are the prime factors of the number 150,011,768?

 A: 2, 131, 143141

Why are those the prime factors of the number 150,011,768?

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 150,011,768

150,011,768
Factor Arrows
275,005,884
Factor Arrows
237,502,942
Factor Arrows
218,751,471
Factor Arrows
131143,141

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, 131, 143141

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 131 x 143,141 = 150,011,768

This can also be written as 23 x 1311 x 143,1411 = 150,011,768

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


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