Q: What are the prime factors of the number 2,030,427?

 A: 3, 7, 3581

Why are those the prime factors of the number 2,030,427?

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 2,030,427

2,030,427
Factor Arrows
3676,809
Factor Arrows
3225,603
Factor Arrows
375,201
Factor Arrows
325,067
Factor Arrows
73,581

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:

3, 7, 3581

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 3,581 = 2,030,427

This can also be written as 34 x 71 x 3,5811 = 2,030,427

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


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