Factors Of 64

Factors almost often come in pairs. There are several methods to figure them out, which you'll be learning in the following section. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
 

For finding factors, kids can use different methods for easy calculation. A few commonly used methods are as follows:

• Use of Multiplication Method

• Use of Division Method

• Use of Prime Factors and Prime Factorization.

So, here we discuss a detailed explanation of the following methods.
 

 In the multiplication method, we will try to find out what numbers will multiply together, and give the value 64. We will check the factors step by step:

Step 1: Start to multiply with numbers that give the value of 64.
Start with 1, and continue to multiply with other numbers. 
1 × 64 = 64
2 × 32 = 64
4 × 16 = 64
8 × 8   = 64

Step 2: After the calculations, we get these factor pairs of 64.

Step 3: The positive factor pairs of 64 found by multiplication are (1, 64), (2, 32), (4, 16), and  (8, 8)

Step 4: The negative factor pairs of 64 are  (-1, -64), (-2, -32), (-4, -16), (-8,-8)
 

Using this method we will break down the given number till the remainder is zero. Let us go through the step-by-step process to find the factors of 64:

Step 1: Divide 64 by smaller numbers and see if there is any remainder. E.g., 64/1 = 64. 

Step 2: We will continue in the same way and check for other numbers as well. For 64, the factors are 1, 2, 4, 8, 16, 32 and 64. Because 64 can be divided evenly by these numbers.

In the prime factorization method, we break down a number into its prime factor. The prime factor of 64 is 2. The prime factors can be found using the methods given below:

2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.

64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 =  4
4 ÷ 2 = 2
2 ÷ 2 = 1

With prime factorization, 64 can be broken down into prime factors of 2.
 

A factor tree is a visual representation of breaking a number into its prime factors. It is an easy and simple way to present the factors.

Step 1: 64 divided by 2 gives us the quotient 32.

Step 2: Since 32 is not a prime number, it can be divided further.

The prime factorization of 64 is written as  64 = 2⁶
 

Every number has either a positive or negative factor. Let us look at those sets of factors.

Positive pair Factors: (1, 64), (2, 32), (4, 16), and  (8,8)
Negative pair Factors:  (-1, -64), (-2, -32), (-4, -16), and  (-8,-8)
 

• Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.

• Prime Factors: Prime factors of the numbers that multiply together to give a certain product. For 64, the prime factor is 2.

• Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).