Q: What are the prime factors of the number 62,211,240?

 A: 2, 3, 5, 7, 13, 211

Why are those the prime factors of the number 62,211,240?

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 62,211,240

62,211,240
Factor Arrows
231,105,620
Factor Arrows
215,552,810
Factor Arrows
27,776,405
Factor Arrows
32,592,135
Factor Arrows
3864,045
Factor Arrows
3288,015
Factor Arrows
396,005
Factor Arrows
519,201
Factor Arrows
72,743
Factor Arrows
13211

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, 13, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 211 = 62,211,240

This can also be written as 23 x 34 x 51 x 71 x 131 x 2111 = 62,211,240

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


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