Factors of 1156

The numbers that divide 1156 evenly are known as factors of 1156. A factor of 1156 is a number that divides the number without remainder. The factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, and 1156.

Negative factors of 1156: -1, -2, -4, -17, -34, -68, -289, -578, and -1156.

Prime factors of 1156: 2 and 17.

Prime factorization of 1156: 2² × 17².

The sum of factors of 1156: 1 + 2 + 4 + 17 + 34 + 68 + 289 + 578 + 1156 = 2149

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 1156. Identifying the numbers which are multiplied to get the number 1156 is the multiplication method.

Step 1: Multiply 1156 by 1, 1156 × 1 = 1156.

Step 2: Check for other numbers that give 1156 after multiplying

2 × 578 = 1156

4 × 289 = 1156

17 × 68 = 1156

Therefore, the positive factor pairs of 1156 are: (1, 1156), (2, 578), (4, 289), (17, 68). 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 the simple division method -

Step 1: Divide 1156 by 1, 1156 ÷ 1 = 1156.

Step 2: Continue dividing 1156 by the numbers until the remainder becomes 0.

1156 ÷ 1 = 1156

1156 ÷ 2 = 578

1156 ÷ 4 = 289

1156 ÷ 17 = 68

Therefore, the factors of 1156 are: 1, 2, 4, 17, 34, 68, 289, 578, 1156.

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 1156 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1156 ÷ 2 = 578

578 ÷ 2 = 289

289 ÷ 17 = 17

17 ÷ 17 = 1

The prime factors of 1156 are 2 and 17. The prime factorization of 1156 is: 2² × 17².

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

Step 1: Firstly, 1156 is divided by 2 to get 578.

Step 2: Now divide 578 by 2 to get 289.

Step 3: Then divide 289 by 17 to get 17.

Step 4: Divide 17 by 17 to get 1.

So, the prime factorization of 1156 is: 2² × 17².

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 1156: (1, 1156), (2, 578), (4, 289), (17, 68).
• Negative factor pairs of 1156: (-1, -1156), (-2, -578), (-4, -289), (-17, -68).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, and 1156.

• Prime factors: The factors which are prime numbers. For example, 2 and 17 are prime factors of 1156.

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1156 is 2² × 17².

• 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 1156 are (1, 1156), (2, 578), etc.

• Square root: A number that produces a specified quantity when multiplied by itself. For example, the square root of 1156 is 34.