Factors of 1158

The numbers that divide 1158 evenly are known as factors of 1158. A factor of 1158 is a number that divides the number without remainder. The factors of 1158 are 1, 2, 3, 6, 193, 386, 579, and 1158.

Negative factors of 1158: -1, -2, -3, -6, -193, -386, -579, and -1158.

Prime factors of 1158: 2, 3, 193.

Prime factorization of 1158: 2 × 3 × 193.

The sum of factors of 1158: 1 + 2 + 3 + 6 + 193 + 386 + 579 + 1158 = 2328

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

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1158. Identifying the numbers which are multiplied to get the number 1158 is the multiplication method.

Step 1: Multiply 1158 by 1, 1158 × 1 = 1158.

Step 2: Check for other numbers that give 1158 after multiplying

2 × 579 = 1158

3 × 386 = 1158

6 × 193 = 1158

Therefore, the positive factor pairs of 1158 are: (1, 1158), (2, 579), (3, 386), (6, 193). All these factor pairs result in 1158. 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 the simple division method -

Step 1: Divide 1158 by 1, 1158 ÷ 1 = 1158.

Step 2: Continue dividing 1158 by the numbers until the remainder becomes 0.

1158 ÷ 1 = 1158

1158 ÷ 2 = 579

1158 ÷ 3 = 386

1158 ÷ 6 = 193

Therefore, the factors of 1158 are: 1, 2, 3, 6, 193, 386, 579, 1158.

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 1158 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1158 ÷ 2 = 579

579 ÷ 3 = 193

193 ÷ 193 = 1

The prime factors of 1158 are 2, 3, and 193. The prime factorization of 1158 is: 2 × 3 × 193.

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

Step 1: Firstly, 1158 is divided by 2 to get 579.

Step 2: Now divide 579 by 3 to get 193.

Step 3: 193 is a prime number and cannot be divided by any other number except itself. So, the prime factorization of 1158 is: 2 × 3 × 193.

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 1158: (1, 1158), (2, 579), (3, 386), (6, 193).
• Negative factor pairs of 1158: (-1, -1158), (-2, -579), (-3, -386), (-6, -193).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1158 are 1, 2, 3, 6, 193, 386, 579, and 1158.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 193 are prime factors of 1158.

• 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 1158 are (1, 1158), (2, 579), etc.

• Prime factorization: Breaking down a number into its smallest prime numbers. For example, the prime factorization of 1158 is 2 × 3 × 193.

• Multiple: A number that can be divided by another number without a remainder. For example, 1158 is a multiple of 3.