Q: What are the prime factors of the number 506,248?

 A: 2, 63281

Why are those the prime factors of the number 506,248?

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 506,248

506,248
Factor Arrows
2253,124
Factor Arrows
2126,562
Factor Arrows
263,281

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, 63281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 63,281 = 506,248

This can also be written as 23 x 63,2811 = 506,248

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 506,248:


Ask a Question