Q: What are the prime factors of the number 116,831,232?

 A: 2, 3, 7, 1811

Why are those the prime factors of the number 116,831,232?

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 116,831,232

116,831,232
Factor Arrows
258,415,616
Factor Arrows
229,207,808
Factor Arrows
214,603,904
Factor Arrows
27,301,952
Factor Arrows
23,650,976
Factor Arrows
21,825,488
Factor Arrows
2912,744
Factor Arrows
2456,372
Factor Arrows
2228,186
Factor Arrows
2114,093
Factor Arrows
338,031
Factor Arrows
312,677
Factor Arrows
71,811

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, 7, 1811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 1,811 = 116,831,232

This can also be written as 210 x 32 x 71 x 1,8111 = 116,831,232

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 116,831,232:


Ask a Question