Q: What are the prime factors of the number 123,110,450?

 A: 2, 5, 71, 34679

Why are those the prime factors of the number 123,110,450?

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 123,110,450

123,110,450
Factor Arrows
261,555,225
Factor Arrows
512,311,045
Factor Arrows
52,462,209
Factor Arrows
7134,679

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, 5, 71, 34679

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 71 x 34,679 = 123,110,450

This can also be written as 21 x 52 x 711 x 34,6791 = 123,110,450

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


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