Q: What are the prime factors of the number 151,511,104?

 A: 2, 2367361

Why are those the prime factors of the number 151,511,104?

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 151,511,104

151,511,104
Factor Arrows
275,755,552
Factor Arrows
237,877,776
Factor Arrows
218,938,888
Factor Arrows
29,469,444
Factor Arrows
24,734,722
Factor Arrows
22,367,361

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, 2367361

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 2,367,361 = 151,511,104

This can also be written as 26 x 2,367,3611 = 151,511,104

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


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