Q: What are the prime factors of the number 2,542,880?

 A: 2, 5, 23, 691

Why are those the prime factors of the number 2,542,880?

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 2,542,880

2,542,880
Factor Arrows
21,271,440
Factor Arrows
2635,720
Factor Arrows
2317,860
Factor Arrows
2158,930
Factor Arrows
279,465
Factor Arrows
515,893
Factor Arrows
23691

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, 23, 691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 23 x 691 = 2,542,880

This can also be written as 25 x 51 x 231 x 6911 = 2,542,880

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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