Q: What are the prime factors of the number 16,024,448?

 A: 2, 11, 19, 599

Why are those the prime factors of the number 16,024,448?

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 16,024,448

16,024,448
Factor Arrows
28,012,224
Factor Arrows
24,006,112
Factor Arrows
22,003,056
Factor Arrows
21,001,528
Factor Arrows
2500,764
Factor Arrows
2250,382
Factor Arrows
2125,191
Factor Arrows
1111,381
Factor Arrows
19599

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, 11, 19, 599

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 11 x 19 x 599 = 16,024,448

This can also be written as 27 x 111 x 191 x 5991 = 16,024,448

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


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