Q: What are the prime factors of the number 1,350,416?

 A: 2, 84401

Why are those the prime factors of the number 1,350,416?

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 1,350,416

1,350,416
Factor Arrows
2675,208
Factor Arrows
2337,604
Factor Arrows
2168,802
Factor Arrows
284,401

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, 84401

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 84,401 = 1,350,416

This can also be written as 24 x 84,4011 = 1,350,416

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


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