Factors of 1247

The numbers that divide 1247 evenly are known as factors of 1247. A factor of 1247 is a number that divides the number without remainder. The factors of 1247 are 1, 1247.

Negative factors of 1247: -1, -1247.

Prime factors of 1247: 1247 (since 1247 is a prime number).

Prime factorization of 1247: 1247 (since 1247 is a prime number).

The sum of factors of 1247: 1 + 1247 = 1248

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
• Finding factors using division method
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1247. Since 1247 is a prime number, the only multiplication method is:

Step 1: Multiply 1247 by 1, 1247 × 1 = 1247.

Therefore, the positive factor pairs of 1247 are: (1, 1247). 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 1247 by 1, 1247 ÷ 1 = 1247.

Since 1247 is a prime number, it cannot be divided by any other number except itself and 1. Therefore, the factors of 1247 are: 1, 1247.

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: Since 1247 is a prime number, it cannot be broken down into smaller prime factors other than itself. The prime factorization of 1247 is: 1247.

A factor tree is a graphical representation of breaking down any number into prime factors. However, since 1247 is a prime number, it cannot be further broken down. So, the prime factorization of 1247 is: 1247.

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 1247: (1, 1247).

• Negative factor pairs of 1247: (-1, -1247).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1247 are 1, 1247.

• Prime factors: The factors which are prime numbers. For example, 1247 is a prime factor of itself.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1247 is (1, 1247).

• Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 1247 is a prime number.

• Prime factorization: The process of expressing a number as the product of its prime factors. For 1247, the prime factorization is 1247.