Q: What are the prime factors of the number 32,011,416?

 A: 2, 3, 148201

Why are those the prime factors of the number 32,011,416?

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 32,011,416

32,011,416
Factor Arrows
216,005,708
Factor Arrows
28,002,854
Factor Arrows
24,001,427
Factor Arrows
31,333,809
Factor Arrows
3444,603
Factor Arrows
3148,201

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, 148201

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 148,201 = 32,011,416

This can also be written as 23 x 33 x 148,2011 = 32,011,416

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 32,011,416:


Ask a Question