Q: What are the prime factors of the number 42,123,024?

 A: 2, 3, 281, 347

Why are those the prime factors of the number 42,123,024?

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 42,123,024

42,123,024
Factor Arrows
221,061,512
Factor Arrows
210,530,756
Factor Arrows
25,265,378
Factor Arrows
22,632,689
Factor Arrows
3877,563
Factor Arrows
3292,521
Factor Arrows
397,507
Factor Arrows
281347

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, 281, 347

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 281 x 347 = 42,123,024

This can also be written as 24 x 33 x 2811 x 3471 = 42,123,024

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


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