Q: What are the prime factors of the number 123,325,526?

 A: 2, 139, 547, 811

Why are those the prime factors of the number 123,325,526?

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 123,325,526

123,325,526
Factor Arrows
261,662,763
Factor Arrows
139443,617
Factor Arrows
547811

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, 139, 547, 811

We can check our work by multiplying all of the prime factors together: 2 x 139 x 547 x 811 = 123,325,526

This can also be written as 21 x 1391 x 5471 x 8111 = 123,325,526

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


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