Q: What are the prime factors of the number 1,900,206?

 A: 2, 3, 7, 11, 457

Why are those the prime factors of the number 1,900,206?

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 1,900,206

1,900,206
Factor Arrows
2950,103
Factor Arrows
3316,701
Factor Arrows
3105,567
Factor Arrows
335,189
Factor Arrows
75,027
Factor Arrows
11457

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, 11, 457

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 11 x 457 = 1,900,206

This can also be written as 21 x 33 x 71 x 111 x 4571 = 1,900,206

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


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