Factors of 1143

The numbers that divide 1143 evenly are known as factors of 1143. A factor of 1143 is a number that divides the number without remainder. The factors of 1143 are 1, 3, 381, and 1143.

Negative factors of 1143: -1, -3, -381, and -1143.

Prime factors of 1143: 3 and 381.

The prime factorization of 1143: 3 × 381.

The sum of factors of 1143: 1 + 3 + 381 + 1143 = 1528

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 1143. Identifying the numbers which are multiplied to get the number 1143 is the multiplication method.

Step 1: Multiply 1143 by 1, 1143 × 1 = 1143.

Step 2: Check for other numbers that give 1143 after multiplying 3 × 381 = 1143

Therefore, the positive factor pairs of 1143 are: (1, 1143), (3, 381). All these factor pairs result in 1143. 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 1143 by 1, 1143 ÷ 1 = 1143.

Step 2: Continue dividing 1143 by the numbers until the remainder becomes 0.

1143 ÷ 1 = 1143

1143 ÷ 3 = 381

Therefore, the factors of 1143 are: 1, 3, 381, and 1143.

The factors can be found by dividing them 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 1143 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1143 ÷ 3 = 381

The prime factors of 1143 are 3 and 381. The prime factorization of 1143 is: 3 × 381.

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

Step 1: Firstly, 1143 is divided by 3 to get 381. Here, 381 is a factor that can also be expressed as 3 × 127, but for the purpose of factorization, 3 is the simplest prime division. So, the prime factorization of 1143 is: 3 × 381.

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 1143: (1, 1143), (3, 381).
• Negative factor pairs of 1143: (-1, -1143), (-3, -381).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1143 are 1, 3, 381, and 1143.

• Prime factors: The factors which are prime numbers. For example, 3 is a prime factor of 1143.

• 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 1143 are (1, 1143) and (3, 381).

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1143 is 3 × 381.

• Negative factors: The negative counterparts of positive factors. For example, the negative factors of 1143 include -1, -3, -381, and -1143.