Factors of 1265

The numbers that divide 1265 evenly are known as factors of 1265. A factor of 1265 is a number that divides the number without remainder. The factors of 1265 are 1, 5, 11, 23, 55, 115, 253, and 1265.

Negative factors of 1265: -1, -5, -11, -23, -55, -115, -253, and -1265.

Prime factors of 1265: 5, 11, and 23.

Prime factorization of 1265: 5 × 11 × 23.

The sum of factors of 1265: 1 + 5 + 11 + 23 + 55 + 115 + 253 + 1265 = 1728

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 1265. Identifying the numbers which are multiplied to get the number 1265 is the multiplication method.

Step 1: Multiply 1265 by 1, 1265 × 1 = 1265.

Step 2: Check for other numbers that give 1265 after multiplying

5 × 253 = 1265

11 × 115 = 1265

23 × 55 = 1265

Therefore, the positive factor pairs of 1265 are: (1, 1265), (5, 253), (11, 115), and (23, 55). All these factor pairs result in 1265. 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 1265 by 1, 1265 ÷ 1 = 1265.

Step 2: Continue dividing 1265 by the numbers until the remainder becomes 0.

1265 ÷ 1 = 1265

1265 ÷ 5 = 253

1265 ÷ 11 = 115

1265 ÷ 23 = 55

Therefore, the factors of 1265 are: 1, 5, 11, 23, 55, 115, 253, 1265.

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 1265 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1265 ÷ 5 = 253

253 ÷ 11 = 23

23 ÷ 23 = 1

The prime factors of 1265 are 5, 11, and 23. The prime factorization of 1265 is: 5 × 11 × 23.

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

Step 1: Firstly, 1265 is divided by 5 to get 253.

Step 2: Now divide 253 by 11 to get 23.

Step 3: Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1265 is: 5 × 11 × 23.

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 1265: (1, 1265), (5, 253), (11, 115), and (23, 55).

• Negative factor pairs of 1265: (-1, -1265), (-5, -253), (-11, -115), and (-23, -55).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1265 are 1, 5, 11, 23, 55, 115, 253, and 1265.

• Prime factors: The factors which are prime numbers. For example, 5, 11, and 23 are prime factors of 1265.

• 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 1265 are (1, 1265), (5, 253), etc.

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1265 is 5 × 11 × 23.

• Multiplication method: A method used to find factor pairs by identifying numbers that multiply to give the original number. For example, using 5 × 253 = 1265.