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7) State the prime factorization of 30.

1 Answer

2 votes

Answer:


30=2\: *3\:*5

Explanation:

We analyze between which prime numbers we can divide the number 30. The smallest prime number by which we divide is 2. Then:


(30)/(2)=15

We now look for the smallest prime number that divides the 15. Since 15 is not a multiple of 2, we make the division with the number 3 that is divisor of 15.


(15)/(3)=5

We now look for a number that divides to 5, but since 5 is a prime number, the only divisor other than 1 is 5. Then:


(5)/(5)=1

This ends the decomposition of 30 and we find 3 prime factors:

2,3 and 5.