Factors of 1161

The numbers that divide 1161 evenly are known as factors of 1161. A factor of 1161 is a number that divides the number without remainder. The factors of 1161 are 1, 3, 387, and 1161.

Negative factors of 1161: -1, -3, -387, and -1161.

Prime factors of 1161: 3 and 387.

Prime factorization of 1161: 3 × 387.

The sum of factors of 1161: 1 + 3 + 387 + 1161 = 1552

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 1161. Identifying the numbers which are multiplied to get the number 1161 is the multiplication method.

Step 1: Multiply 1161 by 1, 1161 × 1 = 1161.

Step 2: Check for other numbers that give 1161 after multiplying 3 × 387 = 1161

Therefore, the positive factor pairs of 1161 are: (1, 1161), (3, 387). 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 a whole numbers as factors. Factors can be calculated by following simple division method -

Step 1: Divide 1161 by 1, 1161 ÷ 1 = 1161.

Step 2: Continue dividing 1161 by the numbers until the remainder becomes 0.

1161 ÷ 1 = 1161 1161 ÷ 3 = 387

Therefore, the factors of 1161 are: 1, 3, 387, 1161.

The factors can be found by dividing it with a 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 1161 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1161 ÷ 3 = 387

387 ÷ 3 = 129

129 ÷ 3 = 43

43 ÷ 43 = 1

The prime factors of 1161 are 3 and 43. The prime factorization of 1161 is: 3 × 3 × 3 × 43.

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

Step 1: Firstly, 1161 is divided by 3 to get 387.

Step 2: Now divide 387 by 3 to get 129.

Step 3: Then divide 129 by 3 to get 43. Here, 43 is a prime number that cannot be divided further. So, the prime factorization of 1161 is: 3 × 3 × 3 × 43.

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 1161: (1, 1161), (3, 387).
• Negative factor pairs of 1161: (-1, -1161), (-3, -387).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1161 are 1, 3, 387, and 1161.

• Prime factors: The factors which are prime numbers. For example, 3 and 43 are prime factors of 1161.

• 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 1161 are (1, 1161) and (3, 387).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1161 is 3 × 3 × 3 × 43.

• Multiplication method: A technique to find factors by identifying pairs of numbers multiplied to give the original number. For example, using 3 and 387 to get 1161.