Factors of 1268

The numbers that divide 1268 evenly are known as factors of 1268. A factor of 1268 is a number that divides the number without remainder. The factors of 1268 are 1, 2, 4, 317, 634, and 1268.

Negative factors of 1268: -1, -2, -4, -317, -634, and -1268.

Prime factors of 1268: 2 and 317.

Prime factorization of 1268: 2² × 317.

The sum of factors of 1268: 1 + 2 + 4 + 317 + 634 + 1268 = 2226

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 1268. Identifying the numbers which are multiplied to get the number 1268 is the multiplication method.

Step 1: Multiply 1268 by 1, 1268 × 1 = 1268.

Step 2: Check for other numbers that give 1268 after multiplying

2 × 634 = 1268

4 × 317 = 1268

Therefore, the positive factor pairs of 1268 are: (1, 1268), (2, 634), and (4, 317). All these factor pairs result in 1268. 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 1268 by 1, 1268 ÷ 1 = 1268.

Step 2: Continue dividing 1268 by the numbers until the remainder becomes 0.

1268 ÷ 1 = 1268

1268 ÷ 2 = 634

1268 ÷ 4 = 317

Therefore, the factors of 1268 are: 1, 2, 4, 317, 634, 1268.

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 1268 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1268 ÷ 2 = 634

634 ÷ 2 = 317

317 is a prime number. The prime factors of 1268 are 2 and 317. The prime factorization of 1268 is: 2² × 317.

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

Step 1: Firstly, 1268 is divided by 2 to get 634.

Step 2: Now divide 634 by 2 to get 317. Here, 317 is a prime number and cannot be divided anymore. So, the prime factorization of 1268 is: 2² × 317.

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 1268: (1, 1268), (2, 634), and (4, 317).

• Negative factor pairs of 1268: (-1, -1268), (-2, -634), and (-4, -317).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1268 are 1, 2, 4, 317, 634, and 1268.

• Prime factors: The factors which are prime numbers. For example, 2 and 317 are prime factors of 1268.

• 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 1268 are (1, 1268), (2, 634), etc.

• Prime factorization: The process of breaking down a number into its prime factors. For example, 1268 is expressed as 2² × 317.

• Multiple: A number that can be divided by another number without a remainder. For example, 1268 is a multiple of 4.