Factors the 32 space the integers that have the right to divide 32, completely. If we say, x is a factor of 32, then 32 is same divisible by x. Since 32 is a composite number, thus it will certainly have more than two factors.

You are watching: How many factors does 32 have

Factor pairs of the number 32 room the entirety numbers which can be either positive or negative but not a fraction or decimal number. We have the right to use the factorization technique to find the determinants of a number.

*

Pair determinants of 32

To discover the variable pairs that 32, main point the 2 numbers in a pair to gain the original number as 32, such numbers space as follows:

Positive Pair determinants Negative Pair Factors
1 × 32 = 32 ⇒ (1, 32)-1 × -32 = 32 ⇒ (-1, -32)
2 × 16 = 32 ⇒ (2, 16)-2 × -16 = 32 ⇒ (-2, -16)
4 × 8 = 32 ⇒ (4, 8) -4 × -8 = 32 ⇒ (-4, -8)

How to calculation the components of 32?

To uncover the components of 32 we need to divide the essence 32 by all the natural numbers native 1 to 32. The number that can divide 32 evenly or fully are the factors. 

First that all, us know, any kind of natural number is also a variable of itself.

32 ÷ 1 = 32

Now, we can see 32 is an even number, thus, the is divisible through 2 however not by any odd number (in this case). Therefore,

32 ÷ 2 = 16

Let us check with other even numbers.

32 ÷ 4 = 8

32 ÷ 8 = 4

32 ÷ 16 = 2

32 ÷ 32 = 1

Therefore, over there are complete six components of the totality number 32.

Factors the 32
1, 2, 4, 8, 16 and also 32

Prime components of 32

The number 32 is a composite and also it should have prime factors. Currently let us know exactly how to calculation the prime factors of 32.

Step 1: The first step is to divide the number 32 through the smallest prime factor, speak 2.

32 ÷ 2 = 16

Step 2: Again divide 16 by 2 and also the procedure goes on.

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we received the number 1 at the finish of the department process. Therefore that us cannot proceed further. So, the prime components of 32 are composed as 2 × 2 x 2 x 2 x 2 or 25, where 2 is a element numbers.

It is feasible to discover the exact number of factors of a number through the aid of element factorisation. The prime element of the 32 is 25. The exponent in the prime factorisation is 5. Once you include the number 1 v the exponent, we acquire 6. I.e.,5 +1 = 6. Therefore, the number 32 has 6 factors.

Solved Examples

Q.1: If there space 32 toffees to be distributed among 4 students in a class. How numerous toffees go each student get?

Solution: Given, 

Number of toffees = 32

Number of college student = 4

Each student will get = 32/4 = 8 toffees

Q.2: If there room 16 apples in one box and the number of boxes is 2, then how many complete apples space there in the boxes?

Answer: Given, each box has actually 16 apples

Number of boxes = 2

Therefore, total variety of apples = 16 x 2 = 32

Q.3: What are the typical factors of 32 and also 64?

Answer: The determinants of 32 are 1, 2, 4, 8, 16, 32 and also of 64 space 1, 2, 4, 8, 16, 32, 64. Therefore, leaving 64, all the factors are usual factors of 32 and also 64.

See more: How Did The End Of The Cold War Affect African Governments? The United States And Africa After The Cold War

Stay tuned v BYJU’S to know about factor 32 and the factors and prime factors of other numbers. Download BYJU’S – The Learning application for better experience and clarification and likewise watch interactive videos.