Factors of 1175

The numbers that divide 1175 evenly are known as factors of 1175. A factor of 1175 is a number that divides the number without remainder. The factors of 1175 are 1, 5, 47, 235, and 1175.

Negative factors of 1175: -1, -5, -47, -235, and -1175.

Prime factors of 1175: 5 and 47.

Prime factorization of 1175: 5 × 47.

The sum of factors of 1175: 1 + 5 + 47 + 235 + 1175 = 1463

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 the pairs of numbers that are multiplied to give 1175. Identifying the numbers which are multiplied to get the number 1175 is the multiplication method.

Step 1: Multiply 1175 by 1, 1175 × 1 = 1175.

Step 2: Check for other numbers that give 1175 after multiplying

5 × 235 = 1175

47 × 25 = 1175

Therefore, the positive factor pairs of 1175 are: (1, 1175), (5, 235), (47, 25). All these factor pairs result in 1175. 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 the simple division method -

Step 1: Divide 1175 by 1, 1175 ÷ 1 = 1175.

Step 2: Continue dividing 1175 by the numbers until the remainder becomes 0.

1175 ÷ 1 = 1175

1175 ÷ 5 = 235

1175 ÷ 47 = 25

Therefore, the factors of 1175 are: 1, 5, 47, 235, 1175.

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 1175 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1175 ÷ 5 = 235

235 ÷ 5 = 47

47 ÷ 47 = 1

The prime factors of 1175 are 5 and 47. The prime factorization of 1175 is: 5 × 47.

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

Step 1: Firstly, 1175 is divided by 5 to get 235.

Step 2: Now divide 235 by 5 to get 47.

Step 3: Here, 47 is a prime number, that cannot be divided anymore. So, the prime factorization of 1175 is: 5 × 47.

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 1175: (1, 1175), (5, 235), (47, 25).
• Negative factor pairs of 1175: (-1, -1175), (-5, -235), (-47, -25).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1175 are 1, 5, 47, 235, and 1175.

• Prime factors: The factors which are prime numbers. For example, 5 and 47 are prime factors of 1175.

• 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 1175 are (1, 1175), (5, 235), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, 1175 is 5 × 47.

• Negative factors: Factors that are negative numbers, such as -1, -5, -47, etc., for 1175.