Q: What are the prime factors of the number 16,326,544?

 A: 2, 13, 53, 1481

Why are those the prime factors of the number 16,326,544?

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 16,326,544

16,326,544
Factor Arrows
28,163,272
Factor Arrows
24,081,636
Factor Arrows
22,040,818
Factor Arrows
21,020,409
Factor Arrows
1378,493
Factor Arrows
531,481

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, 13, 53, 1481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 53 x 1,481 = 16,326,544

This can also be written as 24 x 131 x 531 x 1,4811 = 16,326,544

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


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