Factors of 1168

The numbers that divide 1168 evenly are known as factors of 1168. A factor of 1168 is a number that divides the number without a remainder. The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, and 1168.

Negative factors of 1168: -1, -2, -4, -8, -16, -73, -146, -292, -584, and -1168.

Prime factors of 1168: 2 and 73.

Prime factorization of 1168: 2⁴ × 73.

The sum of factors of 1168: 1 + 2 + 4 + 8 + 16 + 73 + 146 + 292 + 584 + 1168 = 2294

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 1168. Identifying the numbers which are multiplied to get the number 1168 is the multiplication method.

Step 1: Multiply 1168 by 1, 1168 × 1 = 1168.

Step 2: Check for other numbers that give 1168 after multiplying:

2 × 584 = 1168

4 × 292 = 1168

8 × 146 = 1168

16 × 73 = 1168

Therefore, the positive factor pairs of 1168 are: (1, 1168), (2, 584), (4, 292), (8, 146), (16, 73). 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 1168 by 1, 1168 ÷ 1 = 1168.

Step 2: Continue dividing 1168 by the numbers until the remainder becomes 0.

1168 ÷ 1 = 1168

1168 ÷ 2 = 584

1168 ÷ 4 = 292

1168 ÷ 8 = 146

1168 ÷ 16 = 73

Therefore, the factors of 1168 are: 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 1168 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1168 ÷ 2 = 584

584 ÷ 2 = 292

292 ÷ 2 = 146

146 ÷ 2 = 73

73 ÷ 73 = 1

The prime factors of 1168 are 2 and 73. The prime factorization of 1168 is: 2⁴ × 73.

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

Step 1: Firstly, 1168 is divided by 2 to get 584.

Step 2: Now divide 584 by 2 to get 292.

Step 3: Then divide 292 by 2 to get 146.

Step 4: Divide 146 by 2 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1168 is: 2⁴ × 73.

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 1168: (1, 1168), (2, 584), (4, 292), (8, 146), and (16, 73).
•  Negative factor pairs of 1168: (-1, -1168), (-2, -584), (-4, -292), (-8, -146), and (-16, -73).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, and 1168.

• Prime factors: The factors which are prime numbers. For example, 2 and 73 are prime factors of 1168.

• 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 1168 are (1, 1168), (2, 584), etc.

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1168 is 2⁴ × 73.

• Multiple: A number that can be divided by another number without a remainder. For example, 1168 is a multiple of 8.