Factors of 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:

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.

Frequently Asked Questions

• 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