Factors of 1177

The numbers that divide 1177 evenly are known as factors of 1177. A factor of 1177 is a number that divides the number without a remainder. The factors of 1177 are 1, 7, 13, 91, 169, and 1177.

Negative factors of 1177: -1, -7, -13, -91, -169, and -1177.

Prime factors of 1177: 7 and 13.

Prime factorization of 1177: 7 × 13².

The sum of factors of 1177: 1 + 7 + 13 + 91 + 169 + 1177 = 1458

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

1. Finding factors using multiplication
2. Finding factors using the 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 1177. Identifying the numbers that are multiplied to get the number 1177 is the multiplication method.

Step 1: Multiply 1177 by 1, 1177 × 1 = 1177.

Step 2: Check for other numbers that give 1177 after multiplying

7 × 169 = 1177

13 × 91 = 1177

Therefore, the positive factor pairs of 1177 are: (1, 1177), (7, 169), and (13, 91). All these factor pairs result in 1177. For every positive factor, there is a negative factor.

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

Step 1: Divide 1177 by 1, 1177 ÷ 1 = 1177.

Step 2: Continue dividing 1177 by the numbers until the remainder becomes 0.

1177 ÷ 1 = 1177

1177 ÷ 7 = 169

1177 ÷ 13 = 91

Therefore, the factors of 1177 are: 1, 7, 13, 91, 169, 1177.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 1177 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1177 ÷ 7 = 169

169 ÷ 13 = 13

13 ÷ 13 = 1

The prime factors of 1177 are 7 and 13. The prime factorization of 1177 is: 7 × 13².

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

Step 1: Firstly, 1177 is divided by 7 to get 169.

Step 2: Now divide 169 by 13 to get 13.

Step 3: Divide 13 by 13 to get 1. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1177 is: 7 × 13².

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 1177: (1, 1177), (7, 169), and (13, 91).
• Negative factor pairs of 1177: (-1, -1177), (-7, -169), and (-13, -91).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1177 are 1, 7, 13, 91, 169, and 1177.

• Prime factors: The factors which are prime numbers. For example, 7 and 13 are prime factors of 1177.

• 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 1177 are (1, 1177), (7, 169), and (13, 91).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1177 is 7 × 13².

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 1177 is a multiple of 13.