Q: What are the prime factors of the number 61,024,040?

 A: 2, 5, 7, 11, 19813

Why are those the prime factors of the number 61,024,040?

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 61,024,040

61,024,040
Factor Arrows
230,512,020
Factor Arrows
215,256,010
Factor Arrows
27,628,005
Factor Arrows
51,525,601
Factor Arrows
7217,943
Factor Arrows
1119,813

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, 19813

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 11 x 19,813 = 61,024,040

This can also be written as 23 x 51 x 71 x 111 x 19,8131 = 61,024,040

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


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