Q: What are the prime factors of the number 16,361,952?

 A: 2, 3, 41, 4157

Why are those the prime factors of the number 16,361,952?

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 16,361,952

16,361,952
Factor Arrows
28,180,976
Factor Arrows
24,090,488
Factor Arrows
22,045,244
Factor Arrows
21,022,622
Factor Arrows
2511,311
Factor Arrows
3170,437
Factor Arrows
414,157

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, 41, 4157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 41 x 4,157 = 16,361,952

This can also be written as 25 x 31 x 411 x 4,1571 = 16,361,952

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


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