Q: What are the prime factors of the number 2,284,032?

 A: 2, 3, 1487

Why are those the prime factors of the number 2,284,032?

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 2,284,032

2,284,032
Factor Arrows
21,142,016
Factor Arrows
2571,008
Factor Arrows
2285,504
Factor Arrows
2142,752
Factor Arrows
271,376
Factor Arrows
235,688
Factor Arrows
217,844
Factor Arrows
28,922
Factor Arrows
24,461
Factor Arrows
31,487

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, 1487

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 2 x 3 x 1,487 = 2,284,032

This can also be written as 29 x 31 x 1,4871 = 2,284,032

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


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