Q: What are the prime factors of the number 2,770,880?

 A: 2, 5, 7, 1237

Why are those the prime factors of the number 2,770,880?

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 2,770,880

2,770,880
Factor Arrows
21,385,440
Factor Arrows
2692,720
Factor Arrows
2346,360
Factor Arrows
2173,180
Factor Arrows
286,590
Factor Arrows
243,295
Factor Arrows
58,659
Factor Arrows
71,237

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, 5, 7, 1237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 1,237 = 2,770,880

This can also be written as 26 x 51 x 71 x 1,2371 = 2,770,880

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 2,770,880:


Ask a Question