Q: What are the prime factors of the number 151,564,026?

 A: 2, 3, 19, 1329509

Why are those the prime factors of the number 151,564,026?

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 151,564,026

151,564,026
Factor Arrows
275,782,013
Factor Arrows
325,260,671
Factor Arrows
191,329,509

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, 19, 1329509

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 1,329,509 = 151,564,026

This can also be written as 21 x 31 x 191 x 1,329,5091 = 151,564,026

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


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