Q: What are the prime factors of the number 841,360?

 A: 2, 5, 13, 809

Why are those the prime factors of the number 841,360?

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 841,360

841,360
Factor Arrows
2420,680
Factor Arrows
2210,340
Factor Arrows
2105,170
Factor Arrows
252,585
Factor Arrows
510,517
Factor Arrows
13809

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, 13, 809

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 809 = 841,360

This can also be written as 24 x 51 x 131 x 8091 = 841,360

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


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