Q: What are the prime factors of the number 144,331,997?

 A: 173, 281, 2969

Why are those the prime factors of the number 144,331,997?

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 144,331,997

144,331,997
Factor Arrows
173834,289
Factor Arrows
2812,969

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:

173, 281, 2969

We can check our work by multiplying all of the prime factors together: 173 x 281 x 2,969 = 144,331,997

This can also be written as 1731 x 2811 x 2,9691 = 144,331,997

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


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