Factors of 1167

The numbers that divide 1167 evenly are known as factors of 1167. A factor of 1167 is a number that divides the number without remainder. The factors of 1167 are 1, 3, 389, and 1167.

Negative factors of 1167: -1, -3, -389, and -1167.

Prime factors of 1167: 3 and 389.

Prime factorization of 1167: 3 × 389.

The sum of factors of 1167: 1 + 3 + 389 + 1167 = 1560

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 1167. Identifying the numbers which are multiplied to get the number 1167 is the multiplication method.

Step 1: Multiply 1167 by 1, 1167 × 1 = 1167.

Step 2: Check for other numbers that give 1167 after multiplying 3 × 389 = 1167

Therefore, the positive factor pairs of 1167 are: (1, 1167) and (3, 389). All these factor pairs result in 1167. 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 1167 by 1, 1167 ÷ 1 = 1167.

Step 2: Continue dividing 1167 by the numbers until the remainder becomes 0.

1167 ÷ 1 = 1167

1167 ÷ 3 = 389

Therefore, the factors of 1167 are: 1, 3, 389, and 1167.

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 1167 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1167 ÷ 3 = 389

389 is a prime number and cannot be divided further. The prime factors of 1167 are 3 and 389. The prime factorization of 1167 is: 3 × 389.

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

Step 1: Firstly, 1167 is divided by 3 to get 389.

Step 2: 389 is a prime number, and it cannot be divided further. So, the prime factorization of 1167 is: 3 × 389.

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 1167: (1, 1167) and (3, 389).
• Negative factor pairs of 1167: (-1, -1167) and (-3, -389).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1167 are 1, 3, 389, and 1167.

• Prime factors: The factors which are prime numbers. For example, 3 and 389 are prime factors of 1167.

• 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 1167 are (1, 1167) and (3, 389).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1167 is 3 × 389.

• Multiple: A number that can be divided by another number without a remainder. For example, 1167 is a multiple of 3.