Q: What are the prime factors of the number 1,946,392?

 A: 2, 7, 34757

Why are those the prime factors of the number 1,946,392?

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 1,946,392

1,946,392
Factor Arrows
2973,196
Factor Arrows
2486,598
Factor Arrows
2243,299
Factor Arrows
734,757

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, 7, 34757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 34,757 = 1,946,392

This can also be written as 23 x 71 x 34,7571 = 1,946,392

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


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