Q: What are the prime factors of the number 42,434,040?

 A: 2, 3, 5, 11, 17, 31, 61

Why are those the prime factors of the number 42,434,040?

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 42,434,040

42,434,040
Factor Arrows
221,217,020
Factor Arrows
210,608,510
Factor Arrows
25,304,255
Factor Arrows
31,768,085
Factor Arrows
5353,617
Factor Arrows
1132,147
Factor Arrows
171,891
Factor Arrows
3161

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, 11, 17, 31, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 11 x 17 x 31 x 61 = 42,434,040

This can also be written as 23 x 31 x 51 x 111 x 171 x 311 x 611 = 42,434,040

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


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