Q: What are the prime factors of the number 1,783,788?

 A: 2, 3, 23, 281

Why are those the prime factors of the number 1,783,788?

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 1,783,788

1,783,788
Factor Arrows
2891,894
Factor Arrows
2445,947
Factor Arrows
3148,649
Factor Arrows
236,463
Factor Arrows
23281

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, 23, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 23 x 23 x 281 = 1,783,788

This can also be written as 22 x 31 x 232 x 2811 = 1,783,788

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


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