Factors of 1150

The numbers that divide 1150 evenly are known as factors of 1150. A factor of 1150 is a number that divides the number without remainder. The factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 92, 115, 230, 575, and 1150.

Negative factors of 1150: -1, -2, -5, -10, -23, -25, -46, -50, -92, -115, -230, -575, and -1150.

Prime factors of 1150: 2, 5, and 23.

Prime factorization of 1150: 2 × 5² × 23.

The sum of factors of 1150: 1 + 2 + 5 + 10 + 23 + 25 + 46 + 50 + 92 + 115 + 230 + 575 + 1150 = 2324

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

• Finding factors using multiplication
• Finding factors using the 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 1150. Identifying the numbers which are multiplied to get the number 1150 is the multiplication method.

Step 1: Multiply 1150 by 1, 1150 × 1 = 1150.

Step 2: Check for other numbers that give 1150 after multiplying

2 × 575 = 1150

5 × 230 = 1150

10 × 115 = 1150

23 × 50 = 1150

25 × 46 = 1150

Therefore, the positive factor pairs of 1150 are: (1, 1150), (2, 575), (5, 230), (10, 115), (23, 50), (25, 46). All these factor pairs result in 1150. For every positive factor, there is a negative factor.

Dividing the given numbers by the 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 1150 by 1, 1150 ÷ 1 = 1150.

Step 2: Continue dividing 1150 by the numbers until the remainder becomes 0.

1150 ÷ 1 = 1150

1150 ÷ 2 = 575

1150 ÷ 5 = 230

1150 ÷ 10 = 115

1150 ÷ 23 = 50

1150 ÷ 25 = 46

Therefore, the factors of 1150 are: 1, 2, 5, 10, 23, 25, 46, 50, 92, 115, 230, 575, 1150.

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 1150 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1150 ÷ 2 = 575

575 ÷ 5 = 115

115 ÷ 5 = 23

23 ÷ 23 = 1

The prime factors of 1150 are 2, 5, and 23. The prime factorization of 1150 is: 2 × 5² × 23.

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

Step 1: Firstly, 1150 is divided by 2 to get 575.

Step 2: Now divide 575 by 5 to get 115.

Step 3: Then divide 115 by 5 to get 23. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1150 is: 2 × 5² × 23.

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 1150: (1, 1150), (2, 575), (5, 230), (10, 115), (23, 50), (25, 46).
• Negative factor pairs of 1150: (-1, -1150), (-2, -575), (-5, -230), (-10, -115), (-23, -50), (-25, -46).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 92, 115, 230, 575, and 1150.

• Prime factors: The factors which are prime numbers. For example, 2, 5, and 23 are prime factors of 1150.

• 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 1150 are (1, 1150), (2, 575), etc.

• Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1150 is 2 × 5² × 23.

• Multiples: A multiple is the result of multiplying a number by an integer. For example, 1150 is a multiple of 23.