Q: What are the prime factors of the number 1,282,050?

 A: 2, 3, 5, 7, 11, 37

Why are those the prime factors of the number 1,282,050?

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 1,282,050

1,282,050
Factor Arrows
2641,025
Factor Arrows
3213,675
Factor Arrows
371,225
Factor Arrows
514,245
Factor Arrows
52,849
Factor Arrows
7407
Factor Arrows
1137

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, 5, 7, 11, 37

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 7 x 11 x 37 = 1,282,050

This can also be written as 21 x 32 x 52 x 71 x 111 x 371 = 1,282,050

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


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