Factors of 1151

The numbers that divide 1151 evenly are known as factors of 1151. A factor of 1151 is a number that divides the number without remainder. The factors of 1151 are 1 and 1151.

Negative factors of 1151: -1 and -1151.

Prime factorization of 1151: 1151 is a prime number, so it has no prime factors other than itself.

The sum of factors of 1151: 1 + 1151 = 1152

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 identify the pairs of numbers that multiply to give 1151. Since 1151 is a prime number, it can only be represented as 1151 × 1 or 1 × 1151.

Therefore, the positive factor pairs of 1151 are: (1, 1151). 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 1151 by 1, 1151 ÷ 1 = 1151.

Step 2: Check divisibility by other numbers until the square root of 1151. Since no other numbers divide 1151 evenly, it confirms 1151 is prime. Therefore, the factors of 1151 are: 1 and 1151.

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following method:

• Using prime factorization
• Using Prime Factorization:

Since 1151 is a prime number, it cannot be broken down into smaller prime factors. Therefore, 1151 itself is the prime factorization of 1151.

The factor tree is the graphical representation of breaking down any number into prime factors. However, since 1151 is a prime number, it cannot be further divided into other prime numbers. So, the factor tree for 1151 would simply show 1151 as a terminal node with no breakdown.

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 1151: (1, 1151).
• Negative factor pairs of 1151: (-1, -1151).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1151 are 1 and 1151.

• Prime factorization: Expressing a number as the product of its prime factors. For 1151, it is 1151 itself.

• Prime number: A number greater than 1 that has no divisors other than 1 and itself. 1151 is a prime number.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number. The factor pair of 1151 is (1, 1151).

• Negative factors: Factors that are the negative counterparts of positive factors. For 1151, these are -1 and -1151.