Q: What are the prime factors of the number 1,865,916?

 A: 2, 3, 13, 443

Why are those the prime factors of the number 1,865,916?

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 1,865,916

1,865,916
Factor Arrows
2932,958
Factor Arrows
2466,479
Factor Arrows
3155,493
Factor Arrows
351,831
Factor Arrows
317,277
Factor Arrows
35,759
Factor Arrows
13443

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, 3, 13, 443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 13 x 443 = 1,865,916

This can also be written as 22 x 34 x 131 x 4431 = 1,865,916

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


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