Q: What are the prime factors of the number 42,304,234?

 A: 2, 7, 211, 14321

Why are those the prime factors of the number 42,304,234?

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 42,304,234

42,304,234
Factor Arrows
221,152,117
Factor Arrows
73,021,731
Factor Arrows
21114,321

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, 7, 211, 14321

We can check our work by multiplying all of the prime factors together: 2 x 7 x 211 x 14,321 = 42,304,234

This can also be written as 21 x 71 x 2111 x 14,3211 = 42,304,234

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


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