Q: What are the prime factors of the number 3,917,727?

 A: 3, 11, 4397

Why are those the prime factors of the number 3,917,727?

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 3,917,727

3,917,727
Factor Arrows
31,305,909
Factor Arrows
3435,303
Factor Arrows
3145,101
Factor Arrows
348,367
Factor Arrows
114,397

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:

3, 11, 4397

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 11 x 4,397 = 3,917,727

This can also be written as 34 x 111 x 4,3971 = 3,917,727

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 3,917,727:


Ask a Question