Q: What are the prime factors of the number 42,474,042?

 A: 2, 3, 13, 181513

Why are those the prime factors of the number 42,474,042?

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 42,474,042

42,474,042
Factor Arrows
221,237,021
Factor Arrows
37,079,007
Factor Arrows
32,359,669
Factor Arrows
13181,513

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, 13, 181513

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 181,513 = 42,474,042

This can also be written as 21 x 32 x 131 x 181,5131 = 42,474,042

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


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