Q: What are the prime factors of the number 96,466,896?

 A: 2, 3, 223303

Why are those the prime factors of the number 96,466,896?

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 96,466,896

96,466,896
Factor Arrows
248,233,448
Factor Arrows
224,116,724
Factor Arrows
212,058,362
Factor Arrows
26,029,181
Factor Arrows
32,009,727
Factor Arrows
3669,909
Factor Arrows
3223,303

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, 223303

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 223,303 = 96,466,896

This can also be written as 24 x 33 x 223,3031 = 96,466,896

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 96,466,896:


Ask a Question