Q: What are the prime factors of the number 150,366,072?

 A: 2, 3, 71, 79, 1117

Why are those the prime factors of the number 150,366,072?

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 150,366,072

150,366,072
Factor Arrows
275,183,036
Factor Arrows
237,591,518
Factor Arrows
218,795,759
Factor Arrows
36,265,253
Factor Arrows
7188,243
Factor Arrows
791,117

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, 71, 79, 1117

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 71 x 79 x 1,117 = 150,366,072

This can also be written as 23 x 31 x 711 x 791 x 1,1171 = 150,366,072

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


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