Q: What are the prime factors of the number 123,262,236?

 A: 2, 3, 41, 1031

Why are those the prime factors of the number 123,262,236?

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 123,262,236

123,262,236
Factor Arrows
261,631,118
Factor Arrows
230,815,559
Factor Arrows
310,271,853
Factor Arrows
33,423,951
Factor Arrows
31,141,317
Factor Arrows
3380,439
Factor Arrows
3126,813
Factor Arrows
342,271
Factor Arrows
411,031

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, 3, 41, 1031

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 41 x 1,031 = 123,262,236

This can also be written as 22 x 36 x 411 x 1,0311 = 123,262,236

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


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