Q: What are the prime factors of the number 980,048?

 A: 2, 61253

Why are those the prime factors of the number 980,048?

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 980,048

980,048
Factor Arrows
2490,024
Factor Arrows
2245,012
Factor Arrows
2122,506
Factor Arrows
261,253

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, 61253

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61,253 = 980,048

This can also be written as 24 x 61,2531 = 980,048

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 980,048:


Ask a Question