Factors of 233

2. Steps to find factors of 233 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 233 using the division method, follow these steps:

• Step 1. Start dividing 233 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 233, which is 233. Divide 233 by 233 to obtain the quotient (1).
  233 ÷ 233 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 233 is, 233 = 233.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 233 as shown below:

So, the prime factorization of 233 is, 233 = 233.

3. Find factors of 233 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 233 would be the two numbers which, when multiplied, give 233 as the result.

The following table represents the calculation of factors of 233 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 233. They are called negative pair factors.

Hence, the negative pairs of 233 would be ( -1 , -233 ) , .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. 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, 233 are exact divisors of 233.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 233 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 233.

Frequently Asked Questions

• What is prime factorization of 233?

  Prime factorization of 233 is 233.

• How do you find factors of a negative number? ( eg. -233 )?

  Factors of -233 are -1, -233.

• What are the prime factors of 233?

  The factors of 233 are 1, 233.
  Prime factors of 233 are 233.

• What are pair factors of 233?

  The pair factors of 233 are (1,233).

• What is the greatest prime factors of 233?

  The greatest prime factor of 233 is 233.

• What are six multiples of 233?

  First five multiples of 233 are 466, 699, 932, 1165, 1398, 1631.

• What are factors of 233?

  Factors of 233 are 1, 233.

• Which is the smallest prime factor of 233?

  Smallest prime factor of 233 is 233.

• Is 233 a whole number?

  Yes 233 is a whole number.

Examples of Factors