Q: What are the prime factors of the number 150,667,136?

 A: 2, 1177087

Why are those the prime factors of the number 150,667,136?

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 150,667,136

150,667,136
Factor Arrows
275,333,568
Factor Arrows
237,666,784
Factor Arrows
218,833,392
Factor Arrows
29,416,696
Factor Arrows
24,708,348
Factor Arrows
22,354,174
Factor Arrows
21,177,087

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, 1177087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,177,087 = 150,667,136

This can also be written as 27 x 1,177,0871 = 150,667,136

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


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