Factors of 1171

The numbers that divide 1171 evenly are known as factors of 1171. A factor of 1171 is a number that divides the number without remainder. The factors of 1171 are 1, 1171.

Negative factors of 1171: -1, -1171.

Prime factors of 1171: 1171 (since 1171 is a prime number).

Prime factorization of 1171: 1171 (as it cannot be broken down further).

The sum of factors of 1171: 1 + 1171 = 1172

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 pairs of numbers that are multiplied to give 1171. Identifying the numbers that are multiplied to get the number 1171 is the multiplication method.

Step 1: Multiply 1171 by 1, 1171 × 1 = 1171.

Step 2: Check for other numbers that give 1171 after multiplying, but no other pairs exist as 1171 is prime.

Therefore, the only positive factor pair of 1171 is: (1, 1171). For every positive factor, there is a negative factor.

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

Step 1: Divide 1171 by 1, 1171 ÷ 1 = 1171.

Step 2: Continue dividing 1171 by other numbers but find that no other whole number divisions exist (besides dividing by 1171 itself). Therefore, the factors of 1171 are: 1, 1171.

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 1171 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. However, since 1171 is a prime number, it cannot be broken down further.

The prime factorization of 1171 is: 1171.

The factor tree is the graphical representation of breaking down any number into prime factors. For 1171, since it is a prime number, the factor tree is simply 1171 itself.

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 1171: (1, 1171).
• Negative factor pairs of 1171: (-1, -1171).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1171 are 1 and 1171.

• Prime factors: The factors which are prime numbers. For example, 1171 is its own prime factor.

• 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 1171 is (1, 1171).

• Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. 1171 is a prime number.

• Remainder: The amount left over after division when one number cannot be evenly divided by another. For example, 1171 divided by 2 leaves a remainder of 1.