Factors of 183

2. Steps to find factors of 183 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 183 using the division method, follow these steps:

• Step 1. Start dividing 183 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 183, which is 3. Divide 183 by 3 to obtain the quotient (61).
  183 ÷ 3 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
  61 ÷ 61 = 1

So, the prime factorization of 183 is, 183 = 3 x 61.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 183 as shown below:

So, the prime factorization of 183 is, 183 = 3 x 61.

3. Find factors of 183 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 183 would be the two numbers which, when multiplied, give 183 as the result.

The following table represents the calculation of factors of 183 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 183. They are called negative pair factors.

Hence, the negative pairs of 183 would be ( -1 , -183 ) , ( -3 , -61 ) .

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 number is a factor of zero (0), since 183 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, 3, 61, 183 are exact divisors of 183.
• Factors of 183 are 1, 3, 61, 183. Each factor divides 183 without leaving a remainder.

Frequently Asked Questions

• What are the prime factors of 183?

  The factors of 183 are 1, 3, 61, 183.
  Prime factors of 183 are 3, 61.

• What two numbers make 183?

  Two numbers that make 183 are 3 and 61.

• What is the greatest prime factors of 183?

  The greatest prime factor of 183 is 61.

• What are factors of 183?

  Factors of 183 are 1, 3, 61, 183.

• How do you find factors of a negative number? ( eg. -183 )?

  Factors of -183 are -1, -3, -61, -183.

• What are five multiples of 183?

  First five multiples of 183 are 366, 549, 732, 915, 1098.

• Write some multiples of 183?

  First five multiples of 183 are 366, 549, 732, 915.

• Is 183 a perfect square?

  No 183 is not a perfect square.

• What two numbers make 183?

  Two numbers that make 183 are 3 and 61.

Examples of Factors