# How do you find a prime factorization?

## How do you find a prime factorization?

Find the prime factorization of a composite number using the ladder method

1. Divide the number by the smallest prime.
2. Continue dividing by that prime until it no longer divides evenly.
3. Divide by the next prime until it no longer divides evenly.
4. Continue until the quotient is a prime.

## What are the prime factorizations of 60?

Solution: Since, the prime factors of 60 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.

How many prime divisors does 72 have?

Divisors of numbers

Number Prime factorization Divisors
72 23* 32 1,2,3,6,8,9,12,24,36,72
73 73 1,73
74 2*37 1,2,37,69
75 3*52 1,3,5,15,25,75

### Which set of number are factors of 72?

Well, Factors of 72 are the numbers, that when multiplied together in a pair of two return the result as 72. Therefore, 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the factors of 72.

### What is the prime factorization for 144?

Solution: The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The prime factorization of 144 is 1 × 2 × 2 × 2 × 2 × 3 × 3. The prime factors of 144 are 1, 2, and 3.

What is the HCF of 70 105 and 175?

35
Answer: HCF of 70, 105 and 175 is 35.

## What is the lowest prime factor of 60?

2
Prime Factorization of 60 The first step is to divide the number 60 with the smallest prime factor,i.e. 2.

## What is the HCF of 36 and 96?

12
There are 6 common factors of 36 and 96, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 36 and 96 is 12.

What are the factors of 144?

Factors of 144

• Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.
• Negative Factors of 144: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -36, -48, -72 and -144.
• Prime Factors of 144: 2, 3.
• Prime Factorization of 144: 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32
• Sum of Factors of 144: 403.

### What are the factors of 73?

73 is a prime number because it has only two factors, 1 and 73.