Q: What are the prime factors of the number 144,720,630?

 A: 2, 3, 5, 1608007

Why are those the prime factors of the number 144,720,630?

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 144,720,630

144,720,630
Factor Arrows
272,360,315
Factor Arrows
324,120,105
Factor Arrows
38,040,035
Factor Arrows
51,608,007

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, 5, 1608007

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 1,608,007 = 144,720,630

This can also be written as 21 x 32 x 51 x 1,608,0071 = 144,720,630

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


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