Q: What are the prime factors of the number 213,455,552?

 A: 2, 103, 32381

Why are those the prime factors of the number 213,455,552?

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 213,455,552

213,455,552
Factor Arrows
2106,727,776
Factor Arrows
253,363,888
Factor Arrows
226,681,944
Factor Arrows
213,340,972
Factor Arrows
26,670,486
Factor Arrows
23,335,243
Factor Arrows
10332,381

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, 103, 32381

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 103 x 32,381 = 213,455,552

This can also be written as 26 x 1031 x 32,3811 = 213,455,552

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 213,455,552:


Ask a Question