Factors of 1147

The numbers that divide 1147 evenly are known as factors of 1147. A factor of 1147 is a number that divides the number without remainder. The factors of 1147 are 1, 31, 37, and 1147.

Negative factors of 1147: -1, -31, -37, and -1147.

Prime factors of 1147: 31 and 37.

Prime factorization of 1147: 31 × 37.

The sum of factors of 1147: 1 + 31 + 37 + 1147 = 1216

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 1147. Identifying the numbers which are multiplied to get the number 1147 is the multiplication method.

Step 1: Multiply 1147 by 1, 1147 × 1 = 1147.

Step 2: Check for other numbers that give 1147 after multiplying 31 × 37 = 1147

Therefore, the positive factor pairs of 1147 are: (1, 1147) and (31, 37). All these factor pairs result in 1147. 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 1147 by 1, 1147 ÷ 1 = 1147.

Step 2: Continue dividing 1147 by the numbers until the remainder becomes 0.

1147 ÷ 1 = 1147

1147 ÷ 31 = 37

1147 ÷ 37 = 31

Therefore, the factors of 1147 are: 1, 31, 37, 1147.

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 1147 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.

1147 ÷ 31 = 37

37 ÷ 37 = 1

The prime factors of 1147 are 31 and 37. The prime factorization of 1147 is: 31 × 37.

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

Step 1: Firstly, 1147 is divided by 31 to get 37.

Step 2: Now divide 37 by 37 to get 1. Here, 37 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1147 is: 31 × 37.

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 1147: (1, 1147) and (31, 37).
• Negative factor pairs of 1147: (-1, -1147) and (-31, -37).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1147 are 1, 31, 37, and 1147.

• Prime factors: The factors which are prime numbers. For example, 31 and 37 are prime factors of 1147.

• 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 1147 are (1, 1147) and (31, 37).

• Prime factorization: The process of representing a number as a product of its prime factors. For example, the prime factorization of 1147 is 31 × 37.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number, such as (31, 37) for 1147.