Q: What are the prime factors of the number 116,235,616?

 A: 2, 7, 19, 31, 881

Why are those the prime factors of the number 116,235,616?

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 116,235,616

116,235,616
Factor Arrows
258,117,808
Factor Arrows
229,058,904
Factor Arrows
214,529,452
Factor Arrows
27,264,726
Factor Arrows
23,632,363
Factor Arrows
7518,909
Factor Arrows
1927,311
Factor Arrows
31881

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, 7, 19, 31, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 19 x 31 x 881 = 116,235,616

This can also be written as 25 x 71 x 191 x 311 x 8811 = 116,235,616

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


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