Factors of 1261

The numbers that divide 1261 evenly are known as factors of 1261. A factor of 1261 is a number that divides the number without remainder. The factors of 1261 are 1, 37, and 1261.

Negative factors of 1261: -1, -37, and -1261.

Prime factors of 1261: 37.

Prime factorization of 1261: 37 × 34.

The sum of factors of 1261: 1 + 37 + 1261 = 1299.

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 1261. Identifying the numbers which are multiplied to get the number 1261 is the multiplication method.

Step 1: Multiply 1261 by 1, 1261 × 1 = 1261.

Step 2: Check for other numbers that give 1261 after multiplying 37 × 34 = 1261

Therefore, the positive factor pairs of 1261 are: (1, 1261) and (37, 34). All these factor pairs result in 1261. 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 1261 by 1, 1261 ÷ 1 = 1261.

Step 2: Continue dividing 1261 by the numbers until the remainder becomes 0.

1261 ÷ 1 = 1261

1261 ÷ 37 = 34

Therefore, the factors of 1261 are: 1, 37, and 1261.

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 1261 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1261 ÷ 37 = 34

34 ÷ 17 = 2

2 ÷ 2 = 1

The prime factor of 1261 is 37. The prime factorization of 1261 is: 37 × 34.

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

Step 1: Firstly, 1261 is divided by 37 to get 34.

Step 2: Now divide 34 by 17 to get 2.

Step 3: Divide 2 by 2 to get 1. So, the prime factorization of 1261 is: 37 × 34.

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 1261: (1, 1261) and (37, 34).

• Negative factor pairs of 1261: (-1, -1261) and (-37, -34).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1261 are 1, 37, and 1261.

• Prime factors: The factors which are prime numbers. For example, 37 is a prime factor of 1261.

• 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 1261 are (1, 1261) and (37, 34).

• Multiple: A number that can be divided by another number without a remainder. For example, 1261 is a multiple of 37.

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1261 is 37 × 34.