Q: What are the prime factors of the number 116,444,466?

 A: 2, 3, 113, 6361

Why are those the prime factors of the number 116,444,466?

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 116,444,466

116,444,466
Factor Arrows
258,222,233
Factor Arrows
319,407,411
Factor Arrows
36,469,137
Factor Arrows
32,156,379
Factor Arrows
3718,793
Factor Arrows
1136,361

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, 113, 6361

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 113 x 6,361 = 116,444,466

This can also be written as 21 x 34 x 1131 x 6,3611 = 116,444,466

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


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