Q: What are the prime factors of the number 1,868,544?

 A: 2, 3, 811

Why are those the prime factors of the number 1,868,544?

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 1,868,544

1,868,544
Factor Arrows
2934,272
Factor Arrows
2467,136
Factor Arrows
2233,568
Factor Arrows
2116,784
Factor Arrows
258,392
Factor Arrows
229,196
Factor Arrows
214,598
Factor Arrows
27,299
Factor Arrows
32,433
Factor Arrows
3811

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, 811

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 2 x 3 x 3 x 811 = 1,868,544

This can also be written as 28 x 32 x 8111 = 1,868,544

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


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