Factors of 1159

The numbers that divide 1159 evenly are known as factors of 1159. A factor of 1159 is a number that divides the number without remainder. The factors of 1159 are 1, 19, 61, and 1159.

Negative factors of 1159: -1, -19, -61, and -1159.

Prime factors of 1159: 19 and 61.

Prime factorization of 1159: 19 × 61.

The sum of factors of 1159: 1 + 19 + 61 + 1159 = 1240

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 1159. Identifying the numbers which are multiplied to get the number 1159 is the multiplication method.

Step 1: Multiply 1159 by 1, 1159 × 1 = 1159.

Step 2: Check for other numbers that give 1159 after multiplying 19 × 61 = 1159

Therefore, the positive factor pairs of 1159 are: (1, 1159) and (19, 61). For every positive factor, there is a negative factor.

Dividing the given number 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 1159 by 1, 1159 ÷ 1 = 1159.

Step 2: Continue dividing 1159 by the numbers until the remainder becomes 0.

1159 ÷ 1 = 1159

1159 ÷ 19 = 61

1159 ÷ 61 = 19

Therefore, the factors of 1159 are: 1, 19, 61, and 1159.

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 1159 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.

1159 ÷ 19 = 61

61 ÷ 61 = 1

The prime factors of 1159 are 19 and 61. The prime factorization of 1159 is: 19 × 61.

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

Step 1: Firstly, divide 1159 by 19 to get 61.

Step 2: Now divide 61 by itself to get 1. Here, both 19 and 61 are prime numbers that cannot be divided further. So, the prime factorization of 1159 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 1159: (1, 1159) and (19, 61).
• Negative factor pairs of 1159: (-1, -1159) and (-19, -61).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1159 are 1, 19, 61, and 1159.

• Prime factors: The factors which are prime numbers. For example, 19 and 61 are prime factors of 1159.

• 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 1159 are (1, 1159) and (19, 61).

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1159 is 19 × 61.

• Remainder: The amount left over after division when one number does not divide the other exactly. For example, when dividing 1159 by any non-factor, there will be a remainder.