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The prime factorization of 30 is 2 * 3 * 5
Start with the lowest Prime number that will divide into the given number evenly.
The result will be one of the prime factors and a number that might need to be factored. In the case of 30, 2 is a prime number and 15 needs to be factored further.
The lowest number that will divide into 15 evenly is 3. 3 * 5 equals 15. 5 is also a prime number, so the prime factorization of 30 is 2 * 3 * 5.
To find the prime factors of any number then divide the number by prime numbers of increasing value. When a prime number wholly divides the original number repeat the process with the same prime number but each time with the new quotient until complete division does not occur. Repeat with a prime number of higher value until the final quotient is 1.
30 ÷ 2 = 15
15 ÷ 2 complete division does not occur
15 ÷ 3 = 5
5 ÷ 3 complete division does not occur
5 ÷ 5 = 1 : quotient = 1, prime factorization is complete
The prime factors are therefore 2, 3 and 5.
2 x 3 x 5 = 30
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What r prime factorizations?
Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.
What are the prime factorizations to 30?
30 = 2 x 3 x 5
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