Q: What are the prime factors of the number 152,344,112?

 A: 2, 9521507

Why are those the prime factors of the number 152,344,112?

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 152,344,112

152,344,112
Factor Arrows
276,172,056
Factor Arrows
238,086,028
Factor Arrows
219,043,014
Factor Arrows
29,521,507

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, 9521507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 9,521,507 = 152,344,112

This can also be written as 24 x 9,521,5071 = 152,344,112

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


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