Q: What are the prime factors of the number 212,024,112?

 A: 2, 3, 4417169

Why are those the prime factors of the number 212,024,112?

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 212,024,112

212,024,112
Factor Arrows
2106,012,056
Factor Arrows
253,006,028
Factor Arrows
226,503,014
Factor Arrows
213,251,507
Factor Arrows
34,417,169

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, 4417169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 4,417,169 = 212,024,112

This can also be written as 24 x 31 x 4,417,1691 = 212,024,112

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 212,024,112:


Ask a Question