Q: What are the prime factors of the number 1,365,536?

 A: 2, 139, 307

Why are those the prime factors of the number 1,365,536?

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 1,365,536

1,365,536
Factor Arrows
2682,768
Factor Arrows
2341,384
Factor Arrows
2170,692
Factor Arrows
285,346
Factor Arrows
242,673
Factor Arrows
139307

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, 139, 307

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 139 x 307 = 1,365,536

This can also be written as 25 x 1391 x 3071 = 1,365,536

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 1,365,536:


Ask a Question