# Quick Answer: What Does It Mean To Write The Prime Factorization Of A Number?

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. The number 6 is expressed as 2 × 3 since 3 and 2 are prime numbers. Therefore, the prime factorization of 30 is 2 × 3 × 5.

## How do you write the prime factorization of a number?

How to Write Prime Factorization of Composite Numbers

1. Put a prime factor on the outside left, and the result or quotient (the number of times it divides evenly) underneath.
2. Divide the quotient (the number underneath) by another prime number, and keep doing this until the bottom number is a prime.

## What is an example of prime factorization?

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers. For example, prime factorising the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1.

## What is the meaning of prime factorization?

Prime factorisation is a method to find the prime factors of a given number, say a composite number. A prime number is a number which has only two factors, i.e. 1 and the number itself. For example, 2 is a prime number which has two factors, 2 × 1.

## How do you write prime factorization of 50?

Factors of 50

1. Factors of 50: 1, 2, 5, 10, 25, 50.
2. Prime Factorization of 50: 2 × 5 × 5.

## How do you do prime factorization in math?

Division Method of Prime Factorization

1. Step 1: Divide the number by the smallest prime number such that the smallest prime number should divide the number completely.
2. Step 2: Again, divide the quotient of step 1 by the smallest prime number.
3. Step 3: Repeat step 2, until the quotient becomes 1.
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## What’s the prime factorization of 156?

The prime factorization of 156 is 2 × 2 × 3 × 13.

## What’s the prime factorization of 5?

5 is a prime number. Therefore, it can have only two factors, i.e., 1 and the number itself. The factors of 5 are 1 and 5.

## What’s the prime factorization of 9?

Prime factorization of 9 is 9 = 3 × 3.

## What is prime factor Math?

The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself. You can use a factor tree to help you find a number’s prime factorization.

## What is prime number and prime factor?

Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.

## What’s the prime factorization of 81?

9 ÷ 3 = 3. Thus, we get the prime factorization of 81 = 3 × 3 × 3 × 3 which means that the only prime factor is 3.

## What is the prime factor 40?

What are the Prime Factors of 40? The prime factors of 40 are 2, 5.

## What is the prime factorization of 120?

So the prime factorization of 120 is 23 × 3 × 5 In fact, 2, 3 and 5 are the prime factors of 120. Also, we know that 1 is a factor of every number. Thus, The factors of 120 by prime factorization are 1, 2, 3, 5, 15, 30, 60, and 120.