Q: What are the prime factors of the number 255,224,123?

 A: 7, 11, 23, 211, 683

Why are those the prime factors of the number 255,224,123?

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 255,224,123

255,224,123
Factor Arrows
736,460,589
Factor Arrows
113,314,599
Factor Arrows
23144,113
Factor Arrows
211683

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:

7, 11, 23, 211, 683

We can check our work by multiplying all of the prime factors together: 7 x 11 x 23 x 211 x 683 = 255,224,123

This can also be written as 71 x 111 x 231 x 2111 x 6831 = 255,224,123

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


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