Q: What are the prime factors of the number 124,455,366?

 A: 2, 3, 7, 36583

Why are those the prime factors of the number 124,455,366?

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 124,455,366

124,455,366
Factor Arrows
262,227,683
Factor Arrows
320,742,561
Factor Arrows
36,914,187
Factor Arrows
32,304,729
Factor Arrows
3768,243
Factor Arrows
3256,081
Factor Arrows
736,583

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, 7, 36583

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 7 x 36,583 = 124,455,366

This can also be written as 21 x 35 x 71 x 36,5831 = 124,455,366

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


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