Q: What are the prime factors of the number 116,024,040?

 A: 2, 3, 5, 11, 83, 353

Why are those the prime factors of the number 116,024,040?

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 116,024,040

116,024,040
Factor Arrows
258,012,020
Factor Arrows
229,006,010
Factor Arrows
214,503,005
Factor Arrows
34,834,335
Factor Arrows
31,611,445
Factor Arrows
5322,289
Factor Arrows
1129,299
Factor Arrows
83353

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, 5, 11, 83, 353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 11 x 83 x 353 = 116,024,040

This can also be written as 23 x 32 x 51 x 111 x 831 x 3531 = 116,024,040

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


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