Q: What are the prime factors of the number 240,670,744?

 A: 2, 1109, 27127

Why are those the prime factors of the number 240,670,744?

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 240,670,744

240,670,744
Factor Arrows
2120,335,372
Factor Arrows
260,167,686
Factor Arrows
230,083,843
Factor Arrows
1,10927,127

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, 1109, 27127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 1,109 x 27,127 = 240,670,744

This can also be written as 23 x 1,1091 x 27,1271 = 240,670,744

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


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