Q: What are the prime factors of the number 1,384,452?

 A: 2, 3, 4273

Why are those the prime factors of the number 1,384,452?

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 1,384,452

1,384,452
Factor Arrows
2692,226
Factor Arrows
2346,113
Factor Arrows
3115,371
Factor Arrows
338,457
Factor Arrows
312,819
Factor Arrows
34,273

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, 4273

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 4,273 = 1,384,452

This can also be written as 22 x 34 x 4,2731 = 1,384,452

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


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