# Factors of 236

Factors of 236 are 1, 2, 4, 59, 118, and 236

#### How to find factors of a number

 1.   Find factors of 236 using Division Method 2.   Find factors of 236 using Prime Factorization 3.   Find factors of 236 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 236

• Divide 236 by 1: 236 ÷ 1 : Remainder = 0
• Divide 236 by 2: 236 ÷ 2 : Remainder = 0
• Divide 236 by 4: 236 ÷ 4 : Remainder = 0
• Divide 236 by 59: 236 ÷ 59 : Remainder = 0
• Divide 236 by 118: 236 ÷ 118 : Remainder = 0
• Divide 236 by 236: 236 ÷ 236 : Remainder = 0

Hence, Factors of 236 are 1, 2, 4, 59, 118, and 236

#### 2. Steps to find factors of 236 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 236 using the division method, follow these steps:

• Step 1. Start dividing 236 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 236, which is 2. Divide 236 by 2 to obtain the quotient (118).
236 ÷ 2 = 118
• Step 3. Repeat step 1 with the obtained quotient (118).
118 ÷ 2 = 59
59 ÷ 59 = 1

So, the prime factorization of 236 is, 236 = 2 x 2 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 236 as shown below:

So, the prime factorization of 236 is, 236 = 2 x 2 x 59.

#### 3. Find factors of 236 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 236 would be the two numbers which, when multiplied, give 236 as the result.

The following table represents the calculation of factors of 236 in pairs:

Factor Pair Pair Factorization
1 and 236 1 x 236 = 236
2 and 118 2 x 118 = 236
4 and 59 4 x 59 = 236

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 236. They are called negative pair factors.

Hence, the negative pairs of 236 would be ( -1 , -236 ) , ( -2 , -118 ) and ( -4 , -59 ) .

#### 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. 236 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 236.
• Every number is a factor of zero (0), since 236 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, 4, 59, 118, 236 are exact divisors of 236.
• Factors of 236 are 1, 2, 4, 59, 118, 236. Each factor divides 236 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 59, 118, 236 are all less than or equal to 236.

• What two numbers make 236?

Two numbers that make 236 are 2 and 118.

• What is prime factorization of 236?

Prime factorization of 236 is 2 x 2 x 59.

• Write some multiples of 236?

First five multiples of 236 are 472, 708, 944, 1180.

• Which is the smallest prime factor of 236?

The smallest prime factor of 236 is 2.

• Is 236 a perfect square?

No 236 is not a perfect square.

• What is the sum of all factors of 236?

The sum of all factors of 236 is 420.

• What are factors of 236?

Factors of 236 are 1, 2, 4, 59, 118, 236.

• How do you find factors of a negative number? ( eg. -236 )?

Factors of -236 are -1, -2, -4, -59, -118, -236.

• Is 236 a whole number?

Yes 236 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 236. Help him in finding the mean of 236.

Factors of 236 are 1, 2, 4, 59, 118, 236.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 236 is 1 + 2 + 4 + 59 + 118 + 236 = 420.
Hence, the mean of factors of 236 is 420 ÷ 6 = 70.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 236? Help her in writing all the factors.

Positive factors are 1, 2, 4, 59, 118, 236.
Negative factors are -1, -2, -4, -59, -118, -236.

Joey wants to write all the prime factors of 236 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 236 are 2, 2, 59.
So in exponential form it can be written as 22 x 59.

Kevin has been asked to write 5 factor(s) of 236. Can you predict the answer?

5 factor(s) of 236 are 1, 2, 4, 59, 118.

Sammy is puzzled while calculating the prime factors of 236. Can you help him find them?

Factors of 236 are 1, 2, 4, 59, 118, 236.
Prime factors of 236 are 2, 2, 59

What is prime factorization of 236?

Prime factorization of 236 is 2 x 2 x 59 = 22 x 59.

Can you help Rubel to find out the product of the even factors of 236?

Factors of 236 are 1, 2, 4, 59, 118, 236.
Even factors of 236 are 2, 4, 118, 236.
Hence, product of even factors of 236 is; 2 x 4 x 118 x 236 = 222784.