Factors of 1263

The numbers that divide 1263 evenly are known as factors of 1263. A factor of 1263 is a number that divides the number without remainder. The factors of 1263 are 1, 3, 421, and 1263.

Negative factors of 1263: -1, -3, -421, and -1263.

Prime factors of 1263: 3 and 421.

Prime factorization of 1263: 3 × 421.

The sum of factors of 1263: 1 + 3 + 421 + 1263 = 1688

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 1263. Identifying the numbers which are multiplied to get the number 1263 is the multiplication method.

Step 1: Multiply 1263 by 1, 1263 × 1 = 1263.

Step 2: Check for other numbers that give 1263 after multiplying

3 × 421 = 1263

Therefore, the positive factor pairs of 1263 are: (1, 1263), (3, 421). All these factor pairs result in 1263. 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 1263 by 1, 1263 ÷ 1 = 1263.

Step 2: Continue dividing 1263 by the numbers until the remainder becomes 0.

1263 ÷ 1 = 1263

1263 ÷ 3 = 421

Therefore, the factors of 1263 are: 1, 3, 421, 1263.

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 1263 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1263 ÷ 3 = 421

421 is a prime number. The prime factors of 1263 are 3 and 421. The prime factorization of 1263 is: 3 × 421.

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

Step 1: Firstly, 1263 is divided by 3 to get 421.

Step 2: 421 is already a prime number and cannot be divided further. So, the prime factorization of 1263 is: 3 × 421.

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 1263: (1, 1263), (3, 421).

• Negative factor pairs of 1263: (-1, -1263), (-3, -421).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1263 are 1, 3, 421, and 1263.

• Prime factors: The factors which are prime numbers. For example, 3 and 421 are prime factors of 1263.

• 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 1263 are (1, 1263), (3, 421).

• Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1263 is 3 × 421.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.