Q: What are the prime factors of the number 16,514,440?

 A: 2, 5, 181, 2281

Why are those the prime factors of the number 16,514,440?

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 16,514,440

16,514,440
Factor Arrows
28,257,220
Factor Arrows
24,128,610
Factor Arrows
22,064,305
Factor Arrows
5412,861
Factor Arrows
1812,281

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, 5, 181, 2281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 181 x 2,281 = 16,514,440

This can also be written as 23 x 51 x 1811 x 2,2811 = 16,514,440

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


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