Q: What are the prime factors of the number 1,778,856?

 A: 2, 3, 19, 47, 83

Why are those the prime factors of the number 1,778,856?

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 1,778,856

1,778,856
Factor Arrows
2889,428
Factor Arrows
2444,714
Factor Arrows
2222,357
Factor Arrows
374,119
Factor Arrows
193,901
Factor Arrows
4783

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, 19, 47, 83

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 19 x 47 x 83 = 1,778,856

This can also be written as 23 x 31 x 191 x 471 x 831 = 1,778,856

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


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