Q: What are the prime factors of the number 1,782,945?

 A: 3, 5, 47, 281

Why are those the prime factors of the number 1,782,945?

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 1,782,945

1,782,945
Factor Arrows
3594,315
Factor Arrows
3198,105
Factor Arrows
366,035
Factor Arrows
513,207
Factor Arrows
47281

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, 5, 47, 281

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 47 x 281 = 1,782,945

This can also be written as 33 x 51 x 471 x 2811 = 1,782,945

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


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