Q: What are the prime factors of the number 240,221,476?

 A: 2, 11, 23, 237373

Why are those the prime factors of the number 240,221,476?

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 240,221,476

240,221,476
Factor Arrows
2120,110,738
Factor Arrows
260,055,369
Factor Arrows
115,459,579
Factor Arrows
23237,373

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, 11, 23, 237373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 23 x 237,373 = 240,221,476

This can also be written as 22 x 111 x 231 x 237,3731 = 240,221,476

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


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