Q: What are the prime factors of the number 1,796,736?

 A: 2, 3, 4679

Why are those the prime factors of the number 1,796,736?

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 1,796,736

1,796,736
Factor Arrows
2898,368
Factor Arrows
2449,184
Factor Arrows
2224,592
Factor Arrows
2112,296
Factor Arrows
256,148
Factor Arrows
228,074
Factor Arrows
214,037
Factor Arrows
34,679

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, 4679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 4,679 = 1,796,736

This can also be written as 27 x 31 x 4,6791 = 1,796,736

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


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