# Factors of 936

Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, and 936

#### How to find factors of a number

 1.   Find factors of 936 using Division Method 2.   Find factors of 936 using Prime Factorization 3.   Find factors of 936 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 936

• Divide 936 by 1: 936 ÷ 1 : Remainder = 0
• Divide 936 by 2: 936 ÷ 2 : Remainder = 0
• Divide 936 by 3: 936 ÷ 3 : Remainder = 0
• Divide 936 by 4: 936 ÷ 4 : Remainder = 0
• Divide 936 by 6: 936 ÷ 6 : Remainder = 0
• Divide 936 by 8: 936 ÷ 8 : Remainder = 0
• Divide 936 by 9: 936 ÷ 9 : Remainder = 0
• Divide 936 by 12: 936 ÷ 12 : Remainder = 0
• Divide 936 by 13: 936 ÷ 13 : Remainder = 0
• Divide 936 by 18: 936 ÷ 18 : Remainder = 0
• Divide 936 by 24: 936 ÷ 24 : Remainder = 0
• Divide 936 by 26: 936 ÷ 26 : Remainder = 0
• Divide 936 by 36: 936 ÷ 36 : Remainder = 0
• Divide 936 by 39: 936 ÷ 39 : Remainder = 0
• Divide 936 by 52: 936 ÷ 52 : Remainder = 0
• Divide 936 by 72: 936 ÷ 72 : Remainder = 0
• Divide 936 by 78: 936 ÷ 78 : Remainder = 0
• Divide 936 by 104: 936 ÷ 104 : Remainder = 0
• Divide 936 by 117: 936 ÷ 117 : Remainder = 0
• Divide 936 by 156: 936 ÷ 156 : Remainder = 0
• Divide 936 by 234: 936 ÷ 234 : Remainder = 0
• Divide 936 by 312: 936 ÷ 312 : Remainder = 0
• Divide 936 by 468: 936 ÷ 468 : Remainder = 0
• Divide 936 by 936: 936 ÷ 936 : Remainder = 0

Hence, Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, and 936

#### 2. Steps to find factors of 936 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 936 using the division method, follow these steps:

• Step 1. Start dividing 936 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 936, which is 2. Divide 936 by 2 to obtain the quotient (468).
936 ÷ 2 = 468
• Step 3. Repeat step 1 with the obtained quotient (468).
468 ÷ 2 = 234
234 ÷ 2 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

So, the prime factorization of 936 is, 936 = 2 x 2 x 2 x 3 x 3 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 936 as shown below:

So, the prime factorization of 936 is, 936 = 2 x 2 x 2 x 3 x 3 x 13.

#### 3. Find factors of 936 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 936 would be the two numbers which, when multiplied, give 936 as the result.

The following table represents the calculation of factors of 936 in pairs:

Factor Pair Pair Factorization
1 and 936 1 x 936 = 936
2 and 468 2 x 468 = 936
3 and 312 3 x 312 = 936
4 and 234 4 x 234 = 936
6 and 156 6 x 156 = 936
8 and 117 8 x 117 = 936
9 and 104 9 x 104 = 936
12 and 78 12 x 78 = 936
13 and 72 13 x 72 = 936
18 and 52 18 x 52 = 936
24 and 39 24 x 39 = 936
26 and 36 26 x 36 = 936

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 936. They are called negative pair factors.

Hence, the negative pairs of 936 would be ( -1 , -936 ) , ( -2 , -468 ) , ( -3 , -312 ) , ( -4 , -234 ) , ( -6 , -156 ) , ( -8 , -117 ) , ( -9 , -104 ) , ( -12 , -78 ) , ( -13 , -72 ) , ( -18 , -52 ) , ( -24 , -39 ) and ( -26 , -36 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 936 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 936.
• Every number is a factor of zero (0), since 936 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 are exact divisors of 936.
• Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. Each factor divides 936 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936 are all less than or equal to 936.

• Which is the smallest prime factor of 936?

Smallest prime factor of 936 is 2.

• Is 936 a perfect square?

No 936 is not a perfect square.

• What are five multiples of 936?

First five multiples of 936 are 1872, 2808, 3744, 4680, 5616.

• What is prime factorization of 936?

Prime factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13.

• What are factors of 936?

Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.

• How do you find factors of a negative number? ( eg. -936 )?

Factors of -936 are -1, -2, -3, -4, -6, -8, -9, -12, -13, -18, -24, -26, -36, -39, -52, -72, -78, -104, -117, -156, -234, -312, -468, -936.

• Is 936 a whole number?

Yes 936 is a whole number.

• Which is greatest factor of 936?

The greatest factor of 936 is 468.

• What are the prime factors of 936?

The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
Prime factors of 936 are 2, 2, 2, 3, 3, 13.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 936. Can you help her?

Prime factors of 936 are 2, 2, 2, 3, 3, 13.
Hence, the product of prime factors of 78.

Can you help Rubel to find out the product of the even factors of 936?

Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
Even factors of 936 are 2, 4, 6, 8, 12, 18, 24, 26, 36, 52, 72, 78, 104, 156, 234, 312, 468, 936.
Hence, product of even factors of 936 is; 2 x 4 x 6 x 8 x 12 x 18 x 24 x 26 x 36 x 52 x 72 x 78 x 104 x 156 x 234 x 312 x 468 x 936 = 2.8232712108431758e+29.

Joy wants to calculate mean of all the factors of 936. Help him in finding the mean of 936.

Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 936 is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 13 + 18 + 24 + 26 + 36 + 39 + 52 + 72 + 78 + 104 + 117 + 156 + 234 + 312 + 468 + 936 = 2730.
Hence, the mean of factors of 936 is 2730 ÷ 24 = 113.75.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 936? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
Negative factors are -1, -2, -3, -4, -6, -8, -9, -12, -13, -18, -24, -26, -36, -39, -52, -72, -78, -104, -117, -156, -234, -312, -468, -936.

How many factors are there for 936?

Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936.
So there are in total 24 factors.

Joey wants to write all the prime factors of 936 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 936 are 2, 2, 2, 3, 3, 13.
So in exponential form it can be written as 23 x 32 x 13.

Kevin has been asked to write 23 factor(s) of 936. Can you predict the answer?

23 factor(s) of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468.