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Factors of 32
Factors of 32 are the list of integers that can be evenly divided into 32. There are 6 factors of 32, which are 1, 2, 4, 8, 16 and 32. Here, 32 is the biggest factor. The sum of all factors of 32 is 63. Its Prime Factors are 1, 2, 4, 8, 16, 32 and (1, 32), (2, 16) and (4, 8) are Pair Factors.
 Factors of 32: 1, 2, 4, 8, 16 and 32
 Negative Factors of 32: 1, 2, 4, 8, 16 and 32
 Prime Factors of 32: 2
 Prime Factorization of 32: 2 × 2 × 2 × 2 × 2 = 2^{5}
 Sum of Factors of 32: 63
1.  What are Factors of 32? 
2.  How to Calculate Factors of 32? 
3.  Factors of 32 in Pairs 
What are Factors of 32?
 The factor of a number is a number that divides it completely, without any remainder.
 The number 32 is an even composite number. A number is said to be composite if it has more than two factors.
 Consider the number 23. It has only two factors, 1 and 23. Since it is only divisible by 1 and 23, it is prime. Consider 48, It has more than 2 factors, therefore it's composite.
The factors of 32 are all the integers that divide 32 without any remainder, and they are 1, 2, 4, 8, 16, and 32.
How to Calculate Factors of 32?
 Step 1: Let's begin calculating the factors of 32, starting with the whole number 1. 32 ÷ 1= 32
 Step 2: Next, divide 32 by 2. 32 ÷ 2= 16
 Step 3: Next, we get. 32 ÷ 4= 8
 Step 4: Similarly, we end up calculating all the factors of 32.
Factors of 32 = 1, 2, 4, 8, 16, and 32. Explore factors using illustrations and interactive examples:
 Factors of 33: The factors of 33 are 1 and 33
 Factors of 48:The factors of 48 are 1, 2, 3, 4, 6, 8, 12,16, 24, and 48
 Factors of 35: The factors of 35 are 1, 5, 7, and 35
 Factors of 34: The factors of 34 are 1, 2, 17, and 34
Factors of 32 in Pairs
The two numbers which, when multiplied, give 32 are the factors of 32 in pairs. The following are the factors of 32 in pairs.
Method 1:
Product Form of 32 
Factors in Pairs 
1 × 32 = 32 
(1,32) 
2 × 16= 32 
(2,16) 
4 × 8 = 32 
(4,8) 
Method 2:
If we consider negative integers, then we get the factors of 32 in negative pairs. Thus we obtain factor pairs of 32 as (1,32), (2,16), (4,8), (1,32), (2,16), and (4,8)
Important Notes
 32 is an even number, and so it will have 2 as its factor.
 Only composite numbers can have more than two factors.
 Factors of 32 are 1, 2, 4, 8, 16, and 32.
What are the Prime Factors of 32?
Prime factorization means expressing a composite number as the product of its prime factors.
 Step 1: To get the prime factorization of 32, we divide it by its smallest prime factor, which is 2. 32÷ 2 = 16
 Step 2: Now, 16 is divided by its smallest prime factor and the quotient is obtained. 16÷2 = 8
 Step 3: This process goes on till we get the quotient as 1. 8 ÷ 2 = 4, 4 ÷ 2 = 2, 2 ÷ 2 = 1 .
Let us express 32 in terms of the product of its prime factors as 2 × 2 × 2 × 2 × 2. The prime factorization of 32 is shown below:
Factors of 32 Solved Examples

Example 1: David's mom bakes 32 cookies. She lays 8 plates on the table. How will David distribute the cookies evenly?
Solution:
____ × 8 = 32
We know that the missing factor is 4. Therefore, David will distribute 32 cookies evenly as 32 ÷ 8 = 4.

Example 2: What are all the possible ways Willy can arrange 32 blocks to form a rectangle?
Solution:
1 × 32, 32 × 1, 4 × 8, and 8 × 4 are the factors of 32 in pairs. Therefore, Willy can arrange the 32 blocks in 4 ways as shown.

Example 3: Find the product of all the prime factors of 32.
Solution:
Since, the prime factors of 32 are 2. Therefore, the product of prime factors = 2 = 2.
FAQs on Factors of 32
What are the Factors of 32?
The factors of 32 are 1, 2, 4, 8, 16, 32 and its negative factors are 1, 2, 4, 8, 16, 32.
What are the Pair Factors of 32?
The pair factors of 32 are (1, 32), (2, 16), (4, 8).
What is the Greatest Common Factor of 32 and 14?
The factors of 32 and 14 are 1, 2, 4, 8, 16, 32 and 1, 2, 7, 14 respectively.
Common factors of 32 and 14 are [1, 2].
Hence, the Greatest Common Factor of 32 and 14 is 2.
How Many Factors of 32 are also Factors of 20?
Since, the factors of 32 are 1, 2, 4, 8, 16, 32 and the factors of 20 are 1, 2, 4, 5, 10, 20.
Hence, [1, 2, 4] are the common factors of 32 and 20.
What is the Sum of all the Factors of 32?
Since all factors of 32 are 1, 2, 4, 8, 16, 32 therefore, the sum of its factors is 1 + 2 + 4 + 8 + 16 + 32 = 63.
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