# What is the prime factorization of 30?

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

### How do you write the prime factorization of numbers?

All composite numbers can be expressed as the product of prime numbers. This is accomplished by dividing the original number by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 30 30 Divide by two. 15,2 Divide by three. 5,3,2 Stop. All the factors are prime. 2 x 3 x 5 = 30 That's the prime factorization of 30.

### What is pirme factorizaTION?

All composite numbers can be expressed as the product of prime numbers. This is accomplished by dividing the original number by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 30 30 Divide by two. 15,2 Divide by three. 5,3,2 Stop. All the factors are prime. 2 x 3 x 5 = 30 That's the prime factorization of 30.

### How do you find the prime factorization of a square root?

Two ways: Find the square root first. If it's a whole number, find the prime factorization like you would for any other number. Or, find the prime factorization of the original number. The factors will be paired. Take one out of of each pair. Example: 900 The square root of 900 is 30. The prime factorization of 30 is 2 x 3 x 5 or The prime factorization of 900 is 2 x 2 x…

### What does it mean to find the prime factorization of a number?

All composite numbers can be expressed as the product of prime numbers. This is accomplished by dividing the original number by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 30 30 Divide by two. 15,2 Divide by three. 5,3,2 Stop. All the factors are prime. 2 x 3 x 5 = 30 That's the prime factorization of 30.

### What is the least common multiple of 30 and60?

The LCM is: 60 60 is divisible by 30. So, L.C.M. of 30 and 60 is 60. This can be shown easily by writing down the multiples of 30 and 60: 30: 30, 60, 90, 120,... 60: 60, 120, 180,... Alternate method: Method of prime factorization Prime factorization of 60 = 2x2x3x5 Prime factorization 0f 30 = 2x3x5 L.C.M. = Product of common numbers x Product of uncommon numbers = 2x2x3x5. So, L.C.M. of 60…