Q: What are the prime factors of the number 65,112,740?

 A: 2, 5, 7, 11, 42281

Why are those the prime factors of the number 65,112,740?

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 65,112,740

65,112,740
Factor Arrows
232,556,370
Factor Arrows
216,278,185
Factor Arrows
53,255,637
Factor Arrows
7465,091
Factor Arrows
1142,281

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, 11, 42281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 42,281 = 65,112,740

This can also be written as 22 x 51 x 71 x 111 x 42,2811 = 65,112,740

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


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