Q: What are the prime factors of the number 1,818,384?

 A: 2, 3, 43, 881

Why are those the prime factors of the number 1,818,384?

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 1,818,384

1,818,384
Factor Arrows
2909,192
Factor Arrows
2454,596
Factor Arrows
2227,298
Factor Arrows
2113,649
Factor Arrows
337,883
Factor Arrows
43881

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, 43, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 43 x 881 = 1,818,384

This can also be written as 24 x 31 x 431 x 8811 = 1,818,384

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


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