Q: What are the prime factors of the number 42,040,236?

 A: 2, 3, 7, 19, 53, 71

Why are those the prime factors of the number 42,040,236?

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 42,040,236

42,040,236
Factor Arrows
221,020,118
Factor Arrows
210,510,059
Factor Arrows
33,503,353
Factor Arrows
7500,479
Factor Arrows
771,497
Factor Arrows
193,763
Factor Arrows
5371

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, 7, 19, 53, 71

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 19 x 53 x 71 = 42,040,236

This can also be written as 22 x 31 x 72 x 191 x 531 x 711 = 42,040,236

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


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