Q: What are the prime factors of the number 144,423,012?

 A: 2, 3, 563, 21377

Why are those the prime factors of the number 144,423,012?

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 144,423,012

144,423,012
Factor Arrows
272,211,506
Factor Arrows
236,105,753
Factor Arrows
312,035,251
Factor Arrows
56321,377

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, 563, 21377

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 563 x 21,377 = 144,423,012

This can also be written as 22 x 31 x 5631 x 21,3771 = 144,423,012

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


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