Q: What are the prime factors of the number 2,034,774?

 A: 2, 3, 7, 769

Why are those the prime factors of the number 2,034,774?

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 2,034,774

2,034,774
Factor Arrows
21,017,387
Factor Arrows
3339,129
Factor Arrows
3113,043
Factor Arrows
337,681
Factor Arrows
75,383
Factor Arrows
7769

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, 769

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 7 x 769 = 2,034,774

This can also be written as 21 x 33 x 72 x 7691 = 2,034,774

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


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