Q: What are the prime factors of the number 1,452,544?

 A: 2, 2837

Why are those the prime factors of the number 1,452,544?

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 1,452,544

1,452,544
Factor Arrows
2726,272
Factor Arrows
2363,136
Factor Arrows
2181,568
Factor Arrows
290,784
Factor Arrows
245,392
Factor Arrows
222,696
Factor Arrows
211,348
Factor Arrows
25,674
Factor Arrows
22,837

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, 2837

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 2,837 = 1,452,544

This can also be written as 29 x 2,8371 = 1,452,544

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


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