Factors of 64 are 1, 2, 4, 8, 16, 32, and 64 itself. There are positive and negative factors of 64. Factors of 64 can be multiplied to give the product 64. The pair factors of 64 are (8, 8), (2, 32), (4, 16), and (1, 64). We can find prime factors of 64. Additionally, 64 has a maximum factor of 64 and a minimum factor of 1, which can be prime factorized as 2 × 2 × 2 × 2 × 2 × 2 or 2⁶

In this article, we will learn what are factors of 64, how to find factors of 64, prime factorization of 64 and some solved examples based on it.

What are Factors?

Factors of a Number is defined as the number which divides the given number exactly without leaving any remainder

What are the Factors of 64?

The factors of 64 are the numbers that can be multiplied collectively to create the product 64. In the case of 64, the factors are 1, 2, 4, 8, 16, 32, and 64. Now let’s multiply these integers pairwise to obtain 64:

• 1 × 64 = 64
• 2 × 32 = 64
• 4 × 16 = 64
• 8 × 8 = 64

So the factors of 64 are 1,2, 4, 8, 16, 32, and 64.

All Factors of 64

Here is a list of all the factors of 64:

Factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

How to Find Factors of 64?

The factors of 64, can be resolved by using two methods:

Factors of 64 using the Multiplication Method

Using the multiplication method, you may discover the factors of 64 by pairing two factors so that their combined multiplicative power equals 64. Let’s see the pairing and get 64.

1. Let’s start with 1 and 64: 1 × 64 = 64
2. After that, 2 and 32: 2 × 32 = 64
3. Now, the next pair is 4 and 32: 4 × 16 = 64
4. The Last pair is 8 with 8: 8 × 8 = 64.

So, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64 is proven by the multiplication method.

Factors of 64 using the Division Method

Using the division method, you can start with 1 and divide 64 by increasing values until you reach 64 to determine the factors of 64. Let’s see the pairing of two numbers;

1. Let’s start with 1: 64 ÷ 1 = 64
2. After that divide 64 by 2: 64 ÷ 2 = 32
3. Now, Divide 64 by 4: 32 ÷ 4 = 8
4. At Last, Divide 64 by 8: 8 ÷ 8 = 1

So, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64 is proven by the Division method.

Prime Factorization of 64

The representation of 64 as a product of its prime factors is known as its prime factorization. So, behind the prime factorization of 64 is the scenario of the number 64 may be written as the product of six prime numbers, each of which is two.

Prime Factorization of 64

So, the prime factorization of 64 is 64 = 2 × 2 × 2 × 2 × 2 × 2 or 2⁶

Prime Factors of 64

As we have seen the prime factorization of 64 is given as

64 = 2 × 2 × 2 × 2 × 2 × 2 or 2⁶

Hence, the Prime factors of 64 is 2 which is raised to power 6 or 2⁶

Factor Tree of 64

Factors of the number 64 is shown graphically by the factor tree. The number 64 is at the top and is broken down into its prime factors by following branches. So,for creating a factor tree of 64 you have to follow some steps that given below;

• Let’s start with number 64.
• 64 splits into 32 and 2.
• After that, 32 is separated into 2 and 16 .
• Then,16 is split into 2 and 8.
• 8 is divided into 2 and 4.
• At last, 4 is further split into 2 and 2.

The factor tree of 64 is shown below:

Factor Tree of 64

Factor Pairs of 64

Factor Pair of 64, is when two integers are multiplied together and provide the original number 64. So, For this process, we will follow the Positive and negative pair factors of 64.

Positive Factor Pairs of 64

Positive Factor Pairs of 64 are tabulated below