Factors of 1262

The numbers that divide 1262 evenly are known as factors of 1262. A factor of 1262 is a number that divides the number without remainder. The factors of 1262 are 1, 2, 631, and 1262.

Negative factors of 1262: -1, -2, -631, and -1262.

Prime factors of 1262: 2 and 631.

Prime factorization of 1262: 2 × 631.

The sum of factors of 1262: 1 + 2 + 631 + 1262 = 1896

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 1262. Identifying the numbers which are multiplied to get the number 1262 is the multiplication method.

Step 1: Multiply 1262 by 1, 1262 × 1 = 1262.

Step 2: Check for other numbers that give 1262 after multiplying 2 × 631 = 1262

Therefore, the positive factor pairs of 1262 are: (1, 1262) and (2, 631). All these factor pairs result in 1262. For every positive factor, there is a negative factor.

Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1262 by 1, 1262 ÷ 1 = 1262.

Step 2: Continue dividing 1262 by the numbers until the remainder becomes 0.

1262 ÷ 1 = 1262

1262 ÷ 2 = 631

Therefore, the factors of 1262 are: 1, 2, 631, and 1262.

The factors can be found by dividing it with a prime number. 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 1262 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1262 ÷ 2 = 631

631 is a prime number and cannot be divided further. The prime factors of 1262 are 2 and 631. The prime factorization of 1262 is: 2 × 631.

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

Step 1: Firstly, 1262 is divided by 2 to get 631.

Step 2: 631 is a prime number and cannot be divided further. So, the prime factorization of 1262 is: 2 × 631.

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 1262: (1, 1262) and (2, 631).

• Negative factor pairs of 1262: (-1, -1262) and (-2, -631).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1262 are 1, 2, 631, and 1262.

• Prime factors: The factors which are prime numbers. For example, 2 and 631 are prime factors of 1262.

• 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 1262 are (1, 1262) and (2, 631).

• Multiplication method: A method to find factors by identifying pairs of numbers multiplied to give the original number.

• Division method: A method to find factors by dividing the number by whole numbers until the remainder is zero.