Q: What are the prime factors of the number 16,018,240?

 A: 2, 5, 7, 7151

Why are those the prime factors of the number 16,018,240?

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 16,018,240

16,018,240
Factor Arrows
28,009,120
Factor Arrows
24,004,560
Factor Arrows
22,002,280
Factor Arrows
21,001,140
Factor Arrows
2500,570
Factor Arrows
2250,285
Factor Arrows
550,057
Factor Arrows
77,151

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, 7, 7151

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 5 x 7 x 7,151 = 16,018,240

This can also be written as 26 x 51 x 71 x 7,1511 = 16,018,240

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


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