Factors of 1179

The numbers that divide 1179 evenly are known as factors of 1179. A factor of 1179 is a number that divides the number without a remainder. The factors of 1179 are 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, and 1179.

Negative factors of 1179: -1, -3, -7, -13, -21, -39, -91, -117, -273, -393, and -1179.

Prime factors of 1179: 3, 7, and 13.

Prime factorization of 1179: 3 × 7 × 13 × 13.

The sum of factors of 1179: 1 + 3 + 7 + 13 + 21 + 39 + 91 + 117 + 273 + 393 + 1179 = 2137

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 1179. Identifying the numbers which are multiplied to get the number 1179 is the multiplication method.

Step 1: Multiply 1179 by 1, 1179 × 1 = 1179.

Step 2: Check for other numbers that give 1179 after multiplying

3 × 393 = 1179

7 × 169 = 1179

13 × 91 = 1179

21 × 56 = 1179

39 × 30.23 = 1179 (not a whole number, so not a factor)

Therefore, the positive factor pairs of 1179 are: (1, 1179), (3, 393), (7, 169), (13, 91), (21, 56). All these factor pairs result in 1179. 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 1179 by 1, 1179 ÷ 1 = 1179.

Step 2: Continue dividing 1179 by the numbers until the remainder becomes 0.

1179 ÷ 1 = 1179

1179 ÷ 3 = 393

1179 ÷ 7 = 169

1179 ÷ 13 = 91

1179 ÷ 21 = 56

Therefore, the factors of 1179 are: 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, 1179.

The factors can be found by dividing them by 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 1179 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1179 ÷ 3 = 393

393 ÷ 3 = 131

131 ÷ 7 = 13

13 ÷ 13 = 1

The prime factors of 1179 are 3, 7, and 13. The prime factorization of 1179 is: 3 × 7 × 13.

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

Step 1: Firstly, 1179 is divided by 3 to get 393.

Step 2: Now divide 393 by 3 to get 131. Step 3: Then divide 131 by 7 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1179 is: 3 × 7 × 13.

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 1179: (1, 1179), (3, 393), (7, 169), (13, 91), (21, 56).
• Negative factor pairs of 1179: (-1, -1179), (-3, -393), (-7, -169), (-13, -91), (-21, -56).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1179 are 1, 3, 7, 13, 21, 39, 91, 117, 273, 393, and 1179.

• Prime factors: The factors which are prime numbers. For example, 3, 7, and 13 are prime factors of 1179.

• 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 1179 are (1, 1179), (3, 393), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1179 is 3 × 7 × 13.

• Negative factors: Factors that are negative integers. For example, -1, -3, -7 are negative factors of 1179.