Q: What are the prime factors of the number 16,600,248?

 A: 2, 3, 7, 10979

Why are those the prime factors of the number 16,600,248?

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 16,600,248

16,600,248
Factor Arrows
28,300,124
Factor Arrows
24,150,062
Factor Arrows
22,075,031
Factor Arrows
3691,677
Factor Arrows
3230,559
Factor Arrows
376,853
Factor Arrows
710,979

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, 7, 10979

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 7 x 10,979 = 16,600,248

This can also be written as 23 x 33 x 71 x 10,9791 = 16,600,248

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


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