Q: What are the prime factors of the number 90,871,308?

 A: 2, 3, 11, 2833

Why are those the prime factors of the number 90,871,308?

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 90,871,308

90,871,308
Factor Arrows
245,435,654
Factor Arrows
222,717,827
Factor Arrows
37,572,609
Factor Arrows
32,524,203
Factor Arrows
3841,401
Factor Arrows
3280,467
Factor Arrows
393,489
Factor Arrows
331,163
Factor Arrows
112,833

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, 11, 2833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 2,833 = 90,871,308

This can also be written as 22 x 36 x 111 x 2,8331 = 90,871,308

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 90,871,308:


Ask a Question