Factors of 1165

The numbers that divide 1165 evenly are known as factors of 1165. A factor of 1165 is a number that divides the number without remainder. The factors of 1165 are 1, 5, 233, and 1165.

Negative factors of 1165: -1, -5, -233, and -1165.

Prime factors of 1165: 5 and 233.

Prime factorization of 1165: 5 × 233.

The sum of factors of 1165: 1 + 5 + 233 + 1165 = 1404

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 1165. Identifying the numbers which are multiplied to get the number 1165 is the multiplication method.

Step 1: Multiply 1165 by 1, 1165 × 1 = 1165.

Step 2: Check for other numbers that give 1165 after multiplying    

 5 × 233 = 1165

Therefore, the positive factor pairs of 1165 are: (1, 1165), (5, 233). All these factor pairs result in 1165. 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 1165 by 1, 1165 ÷ 1 = 1165.

Step 2: Continue dividing 1165 by the numbers until the remainder becomes 0.

1165 ÷ 1 = 1165

1165 ÷ 5 = 233

Therefore, the factors of 1165 are: 1, 5, 233, 1165.

The factors can be found by dividing it with a prime number. 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 1165 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1165 ÷ 5 = 233

233 ÷ 233 = 1

The prime factors of 1165 are 5 and 233. The prime factorization of 1165 is: 5 × 233.

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

Step 1: Firstly, 1165 is divided by 5 to get 233.

Step 2: Since 233 is a prime number, it cannot be divided further except by 1 or 233 itself. So, the prime factorization of 1165 is: 5 × 233.

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

• Positive factor pairs of 1165: (1, 1165), (5, 233).
• Negative factor pairs of 1165: (-1, -1165), (-5, -233).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1165 are 1, 5, 233, and 1165.

• Prime factors: The factors which are prime numbers. For example, 5 and 233 are prime factors of 1165.

• 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 1165 are (1, 1165), (5, 233).

• Prime factorization: The expression of a number as the product of its prime factors. For 1165, it is 5 × 233.

• Negative factors: Factors of a number that are negative. For example, -1, -5, -233, and -1165 are negative factors of 1165.