Q: What are the prime factors of the number 2,845,760?

 A: 2, 5, 8893

Why are those the prime factors of the number 2,845,760?

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 2,845,760

2,845,760
Factor Arrows
21,422,880
Factor Arrows
2711,440
Factor Arrows
2355,720
Factor Arrows
2177,860
Factor Arrows
288,930
Factor Arrows
244,465
Factor Arrows
58,893

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, 8893

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 8,893 = 2,845,760

This can also be written as 26 x 51 x 8,8931 = 2,845,760

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


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