Q: What are the prime factors of the number 117,833,424?

 A: 2, 3, 367, 6689

Why are those the prime factors of the number 117,833,424?

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 117,833,424

117,833,424
Factor Arrows
258,916,712
Factor Arrows
229,458,356
Factor Arrows
214,729,178
Factor Arrows
27,364,589
Factor Arrows
32,454,863
Factor Arrows
3676,689

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, 367, 6689

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 367 x 6,689 = 117,833,424

This can also be written as 24 x 31 x 3671 x 6,6891 = 117,833,424

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


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