Q: What are the prime factors of the number 144,342,316?

 A: 2, 19, 73, 26017

Why are those the prime factors of the number 144,342,316?

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 144,342,316

144,342,316
Factor Arrows
272,171,158
Factor Arrows
236,085,579
Factor Arrows
191,899,241
Factor Arrows
7326,017

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, 19, 73, 26017

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 73 x 26,017 = 144,342,316

This can also be written as 22 x 191 x 731 x 26,0171 = 144,342,316

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


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