Q: What are the prime factors of the number 16,000,560?

 A: 2, 3, 5, 71, 313

Why are those the prime factors of the number 16,000,560?

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 16,000,560

16,000,560
Factor Arrows
28,000,280
Factor Arrows
24,000,140
Factor Arrows
22,000,070
Factor Arrows
21,000,035
Factor Arrows
3333,345
Factor Arrows
3111,115
Factor Arrows
522,223
Factor Arrows
71313

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, 5, 71, 313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 5 x 71 x 313 = 16,000,560

This can also be written as 24 x 32 x 51 x 711 x 3131 = 16,000,560

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


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