Q: What are the prime factors of the number 116,143,335?

 A: 3, 5, 7, 11, 11173

Why are those the prime factors of the number 116,143,335?

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 116,143,335

116,143,335
Factor Arrows
338,714,445
Factor Arrows
312,904,815
Factor Arrows
34,301,605
Factor Arrows
5860,321
Factor Arrows
7122,903
Factor Arrows
1111,173

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:

3, 5, 7, 11, 11173

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 7 x 11 x 11,173 = 116,143,335

This can also be written as 33 x 51 x 71 x 111 x 11,1731 = 116,143,335

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


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