Q: What are the prime factors of the number 240,121,694?

 A: 2, 53, 127, 17837

Why are those the prime factors of the number 240,121,694?

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 240,121,694

240,121,694
Factor Arrows
2120,060,847
Factor Arrows
532,265,299
Factor Arrows
12717,837

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, 53, 127, 17837

We can check our work by multiplying all of the prime factors together: 2 x 53 x 127 x 17,837 = 240,121,694

This can also be written as 21 x 531 x 1271 x 17,8371 = 240,121,694

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


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