Factors of 183

The numbers that divide 183 evenly are known as factors of 183. A factor of 183 is a number that divides the number without remainder. The factors of 183 are 1, 3, 61, and 183.

Negative factors of 183: -1, -3, -61, and -183.

Prime factors of 183: 3 and 61.

Prime factorization of 183: 3 × 61.

The sum of factors of 183: 1 + 3 + 61 + 183 = 248

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
• Finding factors using division method
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 183. Identifying the numbers which are multiplied to get the number 183 is the multiplication method.

Step 1: Multiply 183 by 1, 183 × 1 = 183.

Step 2: Check for other numbers that give 183 after multiplying 3 × 61 = 183

Therefore, the positive factor pairs of 183 are: (1, 183), (3, 61). All these factor pairs result in 183. For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as a whole numbers as factors. Factors can be calculated by following simple division method -

Step 1: Divide 183 by 1, 183 ÷ 1 = 183.

Step 2: Continue dividing 183 by the numbers until the remainder becomes 0.

183 ÷ 1 = 183

183 ÷ 3 = 61

Therefore, the factors of 183 are: 1, 3, 61, 183.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 183 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

183 ÷ 3 = 61

61 ÷ 61 = 1

The prime factors of 183 are 3 and 61. The prime factorization of 183 is: 3 × 61.

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 183 is divided by 3 to get 61.

Step 2: Now divide 61 by 61 to get 1. Here, 61 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 183 is: 3 × 61.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 183: (1, 183), (3, 61).
• Negative factor pairs of 183: (-1, -183), (-3, -61).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 183 are 1, 3, 61, and 183.

• Prime factors: The factors which are prime numbers. For example, 3 and 61 are prime factors of 183.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 183 are (1, 183) and (3, 61).

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 183 is 3 × 61.

• Multiples: Numbers that can be divided by another number without a remainder. For example, 183 is a multiple of 3.