Q: What are the prime factors of the number 64,036,560?

 A: 2, 3, 5, 7, 47, 811

Why are those the prime factors of the number 64,036,560?

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 64,036,560

64,036,560
Factor Arrows
232,018,280
Factor Arrows
216,009,140
Factor Arrows
28,004,570
Factor Arrows
24,002,285
Factor Arrows
31,334,095
Factor Arrows
5266,819
Factor Arrows
738,117
Factor Arrows
47811

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, 7, 47, 811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 7 x 47 x 811 = 64,036,560

This can also be written as 24 x 31 x 51 x 71 x 471 x 8111 = 64,036,560

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


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