Factors of 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:

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.

Frequently Asked Questions

• 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