Q: What are the prime factors of the number 241,224,423?

 A: 3, 11, 31, 37, 6373

Why are those the prime factors of the number 241,224,423?

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 241,224,423

241,224,423
Factor Arrows
380,408,141
Factor Arrows
117,309,831
Factor Arrows
31235,801
Factor Arrows
376,373

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:

3, 11, 31, 37, 6373

We can check our work by multiplying all of the prime factors together: 3 x 11 x 31 x 37 x 6,373 = 241,224,423

This can also be written as 31 x 111 x 311 x 371 x 6,3731 = 241,224,423

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


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