Table of Contents

## What is the factorization tree?

Factor Tree is an intuitive method to understand the factors of a number. It is a special diagram where you find the factors of a number, then the factors of those numbers, etc until you can’t factor anymore. The ends are all the prime factors of the original number.

**What is the prime factorization tree of 250?**

We stop the factor tree as we cannot branch further because 2 and 5 are the prime numbers. Therefore, the prime factorization of 250 is 2 x 5 x 5 x 5. These 4 prime factors can be multiplied in pairs in all the possible ways to get the factors of 250.

### What is the prime factorization of 11?

Prime factorization is the process of expressing a number as a product of prime numbers. No number other than 1 and 11 divides 11 exactly, so by prime factorization, factors of 11 are 1 and 11.

**What is the prime factorisation of 16?**

Therefore, the factors of 16 are 1, 2, 4, 8, and 16 and the prime factorization of 16 is 16 = 2 × 2 × 2 × 2.

#### What is the prime factorization of 20?

Since 2 is prime, the prime factorization of 20 is 2 * 2 * 5 .

**What is the HCF of 25 40?**

5

HCF of 25 and 40 by Prime Factorization As visible, 25 and 40 have only one common prime factor i.e. 5. Hence, the HCF of 25 and 40 is 5.

## What is the prime factorisation of 90?

Therefore the prime factorization of 90 is 90 =3 × 3 × 5 × 2. Taking another prime number which is a factor of 90. Let us divide 90 by the number 2 (even prime number).

**What is the prime factorization of 55?**

5 × 11

Factors of 55 by Prime Factorization The prime factorization of 55 is expressing 55 as the product of prime numbers which gives the result as 55. Thus, the prime factorization of 55 is 55 = 5 × 11.

### What is the HCF of 4 and 6?

To find the HCF of 4 and 6, we will find the prime factorization of the given numbers, i.e. 4 = 2 × 2; 6 = 2 × 3. ⇒ Since 2 is the only common prime factor of 4 and 6. Hence, HCF (4, 6) = 2.

**What are 2 factors of 20?**

Hence, the factors of 20 are 1, 2, 4, 5, 10, and 20. Important Notes: Factors of a number are all the possible numbers it is divisible by. They may be prime numbers or composite numbers.

#### How do you make a prime factorization tree?

Step 4 : All the prime factors so obtained collectively known as prime factors of given number. In order to cross check; multiply all the prime factors, you must get the given number.

**Which is the best description 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. Here, all the concepts of prime factors and prime factorization methods have been explained which will help the students understand how to find the prime factors of a number easily.

## Can a number be factored into a prime number?

This theorem states that natural numbers greater than 1 are either prime, or can be factored as a product of prime numbers. As an example, the number 60 can be factored into a product of prime numbers as follows:

**How to write down the prime factorization of 13?**

Write down the prime factorization of 13. The prime factorization of 13 is 13. Because the prime factors of 13 are 1 and 13. As 1, and 13 are prime numbers, the prime factorization of 13 is written as 1×13, which is equal to 13.