Factors of 184

The numbers that divide 184 evenly are known as factors of 184. A factor of 184 is a number that divides the number without remainder. The factors of 184 are 1, 2, 4, 8, 23, 46, 92, and 184.

Negative factors of 184: -1, -2, -4, -8, -23, -46, -92, and -184.

Prime factors of 184: 2 and 23.

Prime factorization of 184: 2³ × 23.

The sum of factors of 184: 1 + 2 + 4 + 8 + 23 + 46 + 92 + 184 = 360

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 184. Identifying the numbers which are multiplied to get the number 184 is the multiplication method.

Step 1: Multiply 184 by 1, 184 × 1 = 184.

Step 2: Check for other numbers that give 184 after multiplying

2 × 92 = 184

4 × 46 = 184

8 × 23 = 184

Therefore, the positive factor pairs of 184 are: (1, 184), (2, 92), (4, 46), (8, 23).

All these factor pairs result in 184. 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 whole numbers as factors. Factors can be calculated by following a simple division method:

Step 1: Divide 184 by 1, 184 ÷ 1 = 184.

Step 2: Continue dividing 184 by the numbers until the remainder becomes 0.

184 ÷ 1 = 184

184 ÷ 2 = 92

184 ÷ 4 = 46

184 ÷ 8 = 23

Therefore, the factors of 184 are: 1, 2, 4, 8, 23, 46, 92, 184.

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 184 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

184 ÷ 2 = 92

92 ÷ 2 = 46

46 ÷ 2 = 23

23 ÷ 23 = 1

The prime factors of 184 are 2 and 23. The prime factorization of 184 is: 2³ × 23.

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

Step 1: Firstly, 184 is divided by 2 to get 92.

Step 2: Now divide 92 by 2 to get 46.

Step 3: Then divide 46 by 2 to get 23.

Step 4: Divide 23 by 23 to get 1. Here, 23 is a prime number that cannot be divided anymore. So, the prime factorization of 184 is: 2³ × 23.

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 184: (1, 184), (2, 92), (4, 46), (8, 23).
• Negative factor pairs of 184: (-1, -184), (-2, -92), (-4, -46), (-8, -23).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 184 are 1, 2, 4, 8, 23, 46, 92, and 184.

• Prime factors: The factors which are prime numbers. For example, 2 and 23 are prime factors of 184.

• 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 184 are (1, 184), (2, 92), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 184 is 2³ × 23.

• Negative factors: Factors of a number that are negative. For example, the negative factors of 184 include -1, -2, -4, etc.