Q: What are the prime factors of the number 805,840?

 A: 2, 5, 7, 1439

Why are those the prime factors of the number 805,840?

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 805,840

805,840
Factor Arrows
2402,920
Factor Arrows
2201,460
Factor Arrows
2100,730
Factor Arrows
250,365
Factor Arrows
510,073
Factor Arrows
71,439

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, 1439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 7 x 1,439 = 805,840

This can also be written as 24 x 51 x 71 x 1,4391 = 805,840

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


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