Factors of 1162

The numbers that divide 1162 evenly are known as factors of 1162. A factor of 1162 is a number that divides the number without a remainder. The factors of 1162 are 1, 2, 581, and 1162.

Negative factors of 1162: -1, -2, -581, and -1162.

Prime factors of 1162: 2 and 581.

Prime factorization of 1162: 2 × 581.

The sum of factors of 1162: 1 + 2 + 581 + 1162 = 1746

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 1162. Identifying the numbers which are multiplied to get the number 1162 is the multiplication method.

Step 1: Multiply 1162 by 1, 1162 × 1 = 1162.

Step 2: Check for other numbers that give 1162 after multiplying 2 × 581 = 1162

Therefore, the positive factor pairs of 1162 are: (1, 1162) and (2, 581). All these factor pairs result in 1162. 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 a simple division method -

Step 1: Divide 1162 by 1, 1162 ÷ 1 = 1162.

Step 2: Continue dividing 1162 by the numbers until the remainder becomes 0.

1162 ÷ 1 = 1162

1162 ÷ 2 = 581

Therefore, the factors of 1162 are: 1, 2, 581, and 1162.

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 1162 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1162 ÷ 2 = 581

581 is a prime number. The prime factors of 1162 are 2 and 581. The prime factorization of 1162 is: 2 × 581.

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

Step 1: Firstly, 1162 is divided by 2 to get 581. Here, 581 is a prime number, that cannot be divided anymore. So, the prime factorization of 1162 is: 2 × 581.

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 1162: (1, 1162) and (2, 581).
• Negative factor pairs of 1162: (-1, -1162) and (-2, -581).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1162 are 1, 2, 581, and 1162.

• Prime factors: The factors which are prime numbers. For example, 2 and 581 are prime factors of 1162.

• 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 1162 are (1, 1162) and (2, 581).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1162 is 2 × 581.

• Negative factors: Factors of a number that are negative. For example, the negative factors of 1162 are -1, -2, -581, and -1162.