Factors of 1157

The numbers that divide 1157 evenly are known as factors of 1157. A factor of 1157 is a number that divides the number without remainder. The factors of 1157 are 1, 19, 61, and 1157.

Negative factors of 1157: -1, -19, -61, and -1157.

Prime factors of 1157: 19 and 61.

Prime factorization of 1157: 19 × 61.

The sum of factors of 1157: 1 + 19 + 61 + 1157 = 1238

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

1. Finding factors using multiplication
2. Finding factors using the 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 1157. Identifying the numbers which are multiplied to get the number 1157 is the multiplication method.

Step 1: Multiply 1157 by 1, 1157 × 1 = 1157.

Step 2: Check for other numbers that give 1157 after multiplying 19 × 61 = 1157

Therefore, the positive factor pairs of 1157 are: (1, 1157) and (19, 61). All these factor pairs result in 1157. 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 1157 by 1, 1157 ÷ 1 = 1157.

Step 2: Continue dividing 1157 by the numbers until the remainder becomes 0.

1157 ÷ 1 = 1157

1157 ÷ 19 = 61

1157 ÷ 61 = 19

1157 ÷ 1157 = 1

Therefore, the factors of 1157 are: 1, 19, 61, 1157.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 1157 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1157 ÷ 19 = 61

61 ÷ 61 = 1

The prime factors of 1157 are 19 and 61. The prime factorization of 1157 is: 19 × 61.

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

Step 1: Firstly, 1157 is divided by 19 to get 61.

Step 2: Now divide 61 by 61 to get 1. Here, 61 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1157 is: 19 × 61.

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 1157: (1, 1157) and (19, 61).
• Negative factor pairs of 1157: (-1, -1157) and (-19, -61).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1157 are 1, 19, 61, and 1157.

• Prime factors: The factors which are prime numbers. For example, 19 and 61 are prime factors of 1157.

• 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 1157 are (1, 1157) and (19, 61).

• Prime factorization: The process of breaking down a number into its prime factors. For 1157, it is 19 × 61.

• Negative factors: Factors of a number that are negative. For example, the negative factors of 1157 are -1, -19, -61, and -1157.