Q: What are the prime factors of the number 1,333,860?

 A: 2, 3, 5, 11, 43, 47

Why are those the prime factors of the number 1,333,860?

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 1,333,860

1,333,860
Factor Arrows
2666,930
Factor Arrows
2333,465
Factor Arrows
3111,155
Factor Arrows
522,231
Factor Arrows
112,021
Factor Arrows
4347

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, 5, 11, 43, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 43 x 47 = 1,333,860

This can also be written as 22 x 31 x 51 x 111 x 431 x 471 = 1,333,860

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


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