Q: What are the prime factors of the number 16,233,760?

 A: 2, 5, 241, 421

Why are those the prime factors of the number 16,233,760?

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 16,233,760

16,233,760
Factor Arrows
28,116,880
Factor Arrows
24,058,440
Factor Arrows
22,029,220
Factor Arrows
21,014,610
Factor Arrows
2507,305
Factor Arrows
5101,461
Factor Arrows
241421

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, 241, 421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 241 x 421 = 16,233,760

This can also be written as 25 x 51 x 2411 x 4211 = 16,233,760

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


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