Q: What are the prime factors of the number 123,241,354?

 A: 2, 43, 103, 13913

Why are those the prime factors of the number 123,241,354?

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 123,241,354

123,241,354
Factor Arrows
261,620,677
Factor Arrows
431,433,039
Factor Arrows
10313,913

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, 43, 103, 13913

We can check our work by multiplying all of the prime factors together: 2 x 43 x 103 x 13,913 = 123,241,354

This can also be written as 21 x 431 x 1031 x 13,9131 = 123,241,354

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


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