Factors of 1169

The numbers that divide 1169 evenly are known as factors of 1169. A factor of 1169 is a number that divides the number without remainder. The factors of 1169 are 1, 13, 89, and 1169.

Negative factors of 1169: -1, -13, -89, and -1169.

Prime factors of 1169: 13 and 89.

Prime factorization of 1169: 13 × 89.

The sum of factors of 1169: 1 + 13 + 89 + 1169 = 1272

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 1169. Identifying the numbers which are multiplied to get the number 1169 is the multiplication method.

Step 1: Multiply 1169 by 1, 1169 × 1 = 1169.

Step 2: Check for other numbers that give 1169 after multiplying 13 × 89 = 1169

Therefore, the positive factor pairs of 1169 are: (1, 1169) and (13, 89). All these factor pairs result in 1169. 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 1169 by 1, 1169 ÷ 1 = 1169.

Step 2: Continue dividing 1169 by the numbers until the remainder becomes 0.

1169 ÷ 1 = 1169

1169 ÷ 13 = 89

1169 ÷ 89 = 13

Therefore, the factors of 1169 are: 1, 13, 89, and 1169.

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 1169 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1169 ÷ 13 = 89

89 ÷ 89 = 1

The prime factors of 1169 are 13 and 89. The prime factorization of 1169 is: 13 × 89.

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

Step 1: Firstly, 1169 is divided by 13 to get 89.

Step 2: Now divide 89 by 89 to get 1. Here, 89 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1169 is: 13 × 89.

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 1169: (1, 1169) and (13, 89).
• Negative factor pairs of 1169: (-1, -1169) and (-13, -89).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1169 are 1, 13, 89, and 1169.

• Prime factors: The factors which are prime numbers. For example, 13 and 89 are prime factors of 1169.

• 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 1169 are (1, 1169) and (13, 89).

• Multiple: A multiple is the result of multiplying a number by an integer. For example, 1169 is a multiple of 13.

• Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1169 is 13 × 89.