Factors of 1244

The numbers that divide 1244 evenly are known as factors of 1244. A factor of 1244 is a number that divides the number without a remainder. The factors of 1244 are 1, 2, 4, 311, 622, and 1244.

Negative factors of 1244: -1, -2, -4, -311, -622, and -1244.

Prime factors of 1244: 2 and 311.

Prime factorization of 1244: 2² × 311.

The sum of factors of 1244: 1 + 2 + 4 + 311 + 622 + 1244 = 2184.

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 1244. Identifying the numbers which are multiplied to get the number 1244 is the multiplication method.

Step 1: Multiply 1244 by 1, 1244 × 1 = 1244.

Step 2: Check for other numbers that give 1244 after multiplying

2 × 622 = 1244

4 × 311 = 1244

Therefore, the positive factor pairs of 1244 are: (1, 1244), (2, 622), (4, 311). All these factor pairs result in 1244. 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 1244 by 1, 1244 ÷ 1 = 1244.

Step 2: Continue dividing 1244 by the numbers until the remainder becomes 0.

1244 ÷ 1 = 1244

1244 ÷ 2 = 622

1244 ÷ 4 = 311

Therefore, the factors of 1244 are: 1, 2, 4, 311, 622, 1244.

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 1244 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1244 ÷ 2 = 622

622 ÷ 2 = 311

311 ÷ 311 = 1

The prime factors of 1244 are 2 and 311. The prime factorization of 1244 is: 2² × 311.

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

Step 1: Firstly, 1244 is divided by 2 to get 622.

Step 2: Now divide 622 by 2 to get 311. Step 3: 311 is a prime number and cannot be divided further. So, the prime factorization of 1244 is: 2² × 311.

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 1244: (1, 1244), (2, 622), (4, 311).

• Negative factor pairs of 1244: (-1, -1244), (-2, -622), (-4, -311).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1244 are 1, 2, 4, 311, 622, and 1244.

• Prime factors: The factors which are prime numbers. For example, 2 and 311 are prime factors of 1244.

• 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 1244 are (1, 1244), (2, 622), etc.

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, 1244 = 2² × 311.

• Negative factors: The negative of each positive factor. For example, the negative factors of 1244 are -1, -2, -4, -311, -622, and -1244.