# Examples of prime factorization

## How do you find the prime factorization?

Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number. Again, divide the quotient by the smallest prime number. Repeat the process, until the quotient becomes 1 after repeated division.

## What is the prime factorization of 24?

2 Ã— 2 Ã— 2 Ã— 3

So, the prime factorisation of 24 is

**2 Ã— 2 Ã— 2 Ã— 3**or 2^{3}Ã— 3, where 2 and 3 are the prime numbers.## What are 5 examples of prime numbers?

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are

**2, 3, 5, 7, 11, 13, 17, 19, 23 and 29**.## What are the 5 prime factors?

Factors of 5

Factors | Pair Factors | Prime Factors |
---|---|---|

1 and 5 | (1, 5) | 5 â†’ 5 |

## What’s the prime factorization of 36?

2Â² Ã— 3Â²

We can write 36 as a product of prime factors: 36 =

**2Â² Ã— 3Â²**. The expression 2Â² Ã— 3Â² is said to be the prime factorization of 36.## What’s the prime factorization of 18?

2 Ã— 3 Ã— 3

Factors of 18: 1, 2, 3, 6, 9 and 18. Prime Factorization of 18:

**2 Ã— 3 Ã— 3 or 2 Ã— 3**.^{2}## Is 7 a prime factor?

Since the number 7 is a prime number, the factors of 7 are 1 and 7 only.

## What’s the prime factorization of 30?

2 Ã— 3 Ã— 5

The prime factorization of 30 is

**2 Ã— 3 Ã— 5**.## What is the prime factorization of 8?

2 Ã— 2 Ã— 2

The prime factorization of 8 is

**2 Ã— 2 Ã— 2**or 2^{3}.## How do you write the factors of 24?

therefore, the factors of 24 are 24 = 1, 2, 3, 4, 6, 12 and 24.

## What is the prime factorization of 24 and 36?

Prime factorization of 24 and 36 is

**(2 Ã— 2 Ã— 2 Ã— 3) and (2 Ã— 2 Ã— 3 Ã— 3)**respectively. As visible, 24 and 36 have common prime factors. Hence, the GCF of 24 and 36 is 2 Ã— 2 Ã— 3 = 12.## Is 24 a perfect square?

Is 24 a perfect square?

**No, 24 is not a perfect square**. The square root of 24 is not a natural number.## Is 24 a prime or composite?

composite

is 24 a prime, composite, number? Hello Peacetree,

**24 is a composite number**as other numbers besides 1 and 24 go into it. For example 2,3, 4, 6, 8 and 12. A prime number, for example 17 has no other numbers that go into it exactly.## What are the prime factor of 221?

13 Ã— 17

It can be further split as the product of 13 and 17, where 13 and 17 are prime numbers. Hence, write the number 221 as the product of 13 and 17. Therefore, the prime factorization of 221 is

**13 Ã— 17**.## What is the factor of 42?

Factors of 42 =

**1, 2, 3, 6, 7, 14, 21 and 42**.## What are the common factor of 12 and 18?

6

The common factors of 12 and 18 are

**1, 2, 3 and 6**. The greatest common factor of them is 6.## Is 437 a prime no?

**No, 437 is not a prime number**. The number 437 is divisible by 1, 19, 23, 437. For a number to be classified as a prime number, it should have exactly two factors. Since 437 has more than two factors, i.e. 1, 19, 23, 437, it is not a prime number.

## What is the prime factorization of 53?

Since 53 is itself a prime number, therefore, it will have only two factors,

**1 and 53**.## What is the prime factorization of 323?

17 Ã— 19

The Prime Factors of 323 are

**17 Ã— 19**and its Factors in Pairs are (1, 323), (17, 19).## Is 811 a prime number?

**Yes, 811 is a prime number**. The number 811 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 811 has exactly two factors, i.e. 1 and 811, it is a prime number.

## Is 23 a prime no?

**The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97**.