Q: What are the prime factors of the number 1,212,246?

 A: 2, 3, 7, 1069

Why are those the prime factors of the number 1,212,246?

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 1,212,246

1,212,246
Factor Arrows
2606,123
Factor Arrows
3202,041
Factor Arrows
367,347
Factor Arrows
322,449
Factor Arrows
37,483
Factor Arrows
71,069

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, 7, 1069

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 7 x 1,069 = 1,212,246

This can also be written as 21 x 34 x 71 x 1,0691 = 1,212,246

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


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