Q: What are the prime factors of the number 65,452,480?

 A: 2, 5, 23, 8893

Why are those the prime factors of the number 65,452,480?

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 65,452,480

65,452,480
Factor Arrows
232,726,240
Factor Arrows
216,363,120
Factor Arrows
28,181,560
Factor Arrows
24,090,780
Factor Arrows
22,045,390
Factor Arrows
21,022,695
Factor Arrows
5204,539
Factor Arrows
238,893

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, 23, 8893

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 23 x 8,893 = 65,452,480

This can also be written as 26 x 51 x 231 x 8,8931 = 65,452,480

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


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