Factors of 1160

The numbers that divide 1160 evenly are known as factors of 1160. A factor of 1160 is a number that divides the number without remainder. The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, and 1160.

Negative factors of 1160: -1, -2, -4, -5, -8, -10, -20, -29, -40, -58, -116, -145, -232, -290, -580, and -1160.

Prime factors of 1160: 2, 5, and 29.

Prime factorization of 1160: 2³ × 5 × 29.

The sum of factors of 1160: 1 + 2 + 4 + 5 + 8 + 10 + 20 + 29 + 40 + 58 + 116 + 145 + 232 + 290 + 580 + 1160 = 2700

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 1160. Identifying the numbers which are multiplied to get the number 1160 is the multiplication method.

Step 1: Multiply 1160 by 1, 1160 × 1 = 1160.

Step 2: Check for other numbers that give 1160 after multiplying

2 × 580 = 1160

4 × 290 = 1160

5 × 232 = 1160

8 × 145 = 1160

10 × 116 = 1160

20 × 58 = 1160

29 × 40 = 1160

Therefore, the positive factor pairs of 1160 are: (1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40). All these factor pairs result in 1160. For every positive factor, there is a negative factor.

Dividing the given number 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 1160 by 1, 1160 ÷ 1 = 1160.

Step 2: Continue dividing 1160 by the numbers until the remainder becomes 0.

1160 ÷ 1 = 1160

1160 ÷ 2 = 580

1160 ÷ 4 = 290

1160 ÷ 5 = 232

1160 ÷ 8 = 145

1160 ÷ 10 = 116

1160 ÷ 20 = 58

1160 ÷ 29 = 40

Therefore, the factors of 1160 are: 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160.

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 1160 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1160 ÷ 2 = 580

580 ÷ 2 = 290

290 ÷ 2 = 145

145 ÷ 5 = 29

29 ÷ 29 = 1

The prime factors of 1160 are 2, 5, and 29. The prime factorization of 1160 is: 2³ × 5 × 29.

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

Step 1: Firstly, 1160 is divided by 2 to get 580.

Step 2: Now divide 580 by 2 to get 290.

Step 3: Then divide 290 by 2 to get 145.

Step 4: Divide 145 by 5 to get 29. Here, 29 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1160 is: 2³ × 5 × 29.

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 1160: (1, 1160), (2, 580), (4, 290), (5, 232), (8, 145), (10, 116), (20, 58), (29, 40).
• Negative factor pairs of 1160: (-1, -1160), (-2, -580), (-4, -290), (-5, -232), (-8, -145), (-10, -116), (-20, -58), (-29, -40).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, and 1160.

• Prime factors: The factors which are prime numbers. For example, 2, 5, and 29 are prime factors of 1160.

• 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 1160 are (1, 1160), (2, 580), etc.

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1160 is 2³ × 5 × 29.

• Multiples: A multiple of a number is the product of that number and an integer. For example, 1160 is a multiple of 10.