Q: What are the prime factors of the number 243,390?

 A: 2, 3, 5, 7, 19, 61

Why are those the prime factors of the number 243,390?

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 243,390

243,390
Factor Arrows
2121,695
Factor Arrows
340,565
Factor Arrows
58,113
Factor Arrows
71,159
Factor Arrows
1961

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, 7, 19, 61

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 19 x 61 = 243,390

This can also be written as 21 x 31 x 51 x 71 x 191 x 611 = 243,390

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


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