# Factors of 237

Factors of 237 are 1, 3, 79, and 237

#### How to find factors of a number

 1.   Find factors of 237 using Division Method 2.   Find factors of 237 using Prime Factorization 3.   Find factors of 237 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 237

• Divide 237 by 1: 237 ÷ 1 : Remainder = 0
• Divide 237 by 3: 237 ÷ 3 : Remainder = 0
• Divide 237 by 79: 237 ÷ 79 : Remainder = 0
• Divide 237 by 237: 237 ÷ 237 : Remainder = 0

Hence, Factors of 237 are 1, 3, 79, and 237

#### 2. Steps to find factors of 237 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 237 using the division method, follow these steps:

• Step 1. Start dividing 237 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 237, which is 3. Divide 237 by 3 to obtain the quotient (79).
237 ÷ 3 = 79
• Step 3. Repeat step 1 with the obtained quotient (79).
79 ÷ 79 = 1

So, the prime factorization of 237 is, 237 = 3 x 79.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 237 as shown below:

So, the prime factorization of 237 is, 237 = 3 x 79.

#### 3. Find factors of 237 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 237 would be the two numbers which, when multiplied, give 237 as the result.

The following table represents the calculation of factors of 237 in pairs:

Factor Pair Pair Factorization
1 and 237 1 x 237 = 237
3 and 79 3 x 79 = 237

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 237. They are called negative pair factors.

Hence, the negative pairs of 237 would be ( -1 , -237 ) , ( -3 , -79 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 79, 237 are exact divisors of 237.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 237 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 237.

• What are the prime factors of 237?

The factors of 237 are 1, 3, 79, 237.
Prime factors of 237 are 3, 79.

• What two numbers make 237?

Two numbers that make 237 are 3 and 79.

• What is the greatest prime factors of 237?

The greatest prime factor of 237 is 79.

• What are factors of 237?

Factors of 237 are 1, 3, 79, 237.

• How do you find factors of a negative number? ( eg. -237 )?

Factors of -237 are -1, -3, -79, -237.

• What are five multiples of 237?

First five multiples of 237 are 474, 711, 948, 1185, 1422.

• Write some multiples of 237?

First five multiples of 237 are 474, 711, 948, 1185.

• Is 237 a perfect square?

No 237 is not a perfect square.

• What two numbers make 237?

Two numbers that make 237 are 3 and 79.

#### Examples of Factors

What is prime factorization of 237?

Prime factorization of 237 is 3 x 79 = 3 x 79.

Sammy is puzzled while calculating the prime factors of 237. Can you help him find them?

Factors of 237 are 1, 3, 79, 237.
Prime factors of 237 are 3, 79

Kevin has been asked to write 3 factor(s) of 237. Can you predict the answer?

3 factor(s) of 237 are 1, 3, 79.

Joey wants to write all the prime factors of 237 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 237 are 3, 79.
So in exponential form it can be written as 3 x 79.

How many factors are there for 237?

Factors of 237 are 1, 3, 79, 237.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 237? Help her in writing all the factors.

Positive factors are 1, 3, 79, 237.
Negative factors are -1, -3, -79, -237.

Can you help Rubel to find out the product of the even factors of 237?

Factors of 237 are 1, 3, 79, 237.
Even factors of 237 are 0.
Hence, product of even factors of 237 is; 0 = 0.