Factors of 1180

The numbers that divide 1180 evenly are known as factors of 1180. A factor of 1180 is a number that divides the number without remainder. The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180.

Negative factors of 1180: -1, -2, -4, -5, -10, -20, -59, -118, -236, -295, -590, and -1180.

Prime factors of 1180: 2, 5, and 59.

Prime factorization of 1180: 2 × 2 × 5 × 59.

The sum of factors of 1180: 1 + 2 + 4 + 5 + 10 + 20 + 59 + 118 + 236 + 295 + 590 + 1180 = 2520

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 1180. Identifying the numbers which are multiplied to get the number 1180 is the multiplication method.

Step 1: Multiply 1180 by 1, 1180 × 1 = 1180.

Step 2: Check for other numbers that give 1180 after multiplying

2 × 590 = 1180

4 × 295 = 1180

5 × 236 = 1180

10 × 118 = 1180

20 × 59 = 1180

Therefore, the positive factor pairs of 1180 are: (1, 1180), (2, 590), (4, 295), (5, 236), (10, 118), (20, 59). All these factor pairs result in 1180. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 1180 by 1, 1180 ÷ 1 = 1180.

Step 2: Continue dividing 1180 by the numbers until the remainder becomes 0.

1180 ÷ 1 = 1180

1180 ÷ 2 = 590

1180 ÷ 4 = 295

1180 ÷ 5 = 236

1180 ÷ 10 = 118

1180 ÷ 20 = 59

Therefore, the factors of 1180 are: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.

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 1180 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1180 ÷ 2 = 590

590 ÷ 2 = 295

295 ÷ 5 = 59

59 ÷ 59 = 1

The prime factors of 1180 are 2, 5, and 59. The prime factorization of 1180 is: 2 × 2 × 5 × 59.

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

Step 1: Firstly, 1180 is divided by 2 to get 590.

Step 2: Now divide 590 by 2 to get 295.

Step 3: Then divide 295 by 5 to get 59.

Step 4: Since 59 is a prime number, it cannot be divided anymore. So, the prime factorization of 1180 is: 2 × 2 × 5 × 59.

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 1180: (1, 1180), (2, 590), (4, 295), (5, 236), (10, 118), and (20, 59).
• Negative factor pairs of 1180: (-1, -1180), (-2, -590), (-4, -295), (-5, -236), (-10, -118), and (-20, -59).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, and 1180.

• Prime factors: The factors which are prime numbers. For example, 2, 5, and 59 are prime factors of 1180.

• 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 1180 are (1, 1180), (2, 590), etc.

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1180 is 2 × 2 × 5 × 59.

• Multiple: A number is a multiple of another if it is the product of that number and an integer. For example, 1180 is a multiple of 4.