Factors of 1173

The numbers that divide 1173 evenly are known as factors of 1173. A factor of 1173 is a number that divides the number without remainder. The factors of 1173 are 1, 3, 9, 13, 39, 117, 391, and 1173.

Negative factors of 1173: -1, -3, -9, -13, -39, -117, -391, and -1173.

Prime factors of 1173: 3 and 13.

Prime factorization of 1173: 3²× 13 × 3.

The sum of factors of 1173: 1 + 3 + 9 + 13 + 39 + 117 + 391 + 1173 = 1746

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 1173. Identifying the numbers that are multiplied to get the number 1173 is the multiplication method.

Step 1: Multiply 1173 by 1, 1173 × 1 = 1173.

Step 2: Check for other numbers that give 1173 after multiplying:

3 × 391 = 1173

9 × 130 = 1173

13 × 90 = 1173

Therefore, the positive factor pairs of 1173 are: (1, 1173), (3, 391), (9, 130), (13, 90). For every positive factor, there is a negative factor.

Dividing the given numbers with 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 1173 by 1, 1173 ÷ 1 = 1173.

Step 2: Continue dividing 1173 by the numbers until the remainder becomes 0.

1173 ÷ 1 = 1173

1173 ÷ 3 = 391

1173 ÷ 9 = 130

1173 ÷ 13 = 90

Therefore, the factors of 1173 are: 1, 3, 9, 13, 39, 117, 391, 1173.

The factors can be found by dividing it with a 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 1173 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1173 ÷ 3 = 391

391 ÷ 13 = 30

The prime factors of 1173 are 3 and 13. The prime factorization of 1173 is: 3² × 13 × 3.

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

Step 1: Firstly, 1173 is divided by 3 to get 391.

Step 2: Now divide 391 by 13 to get 30. Here, 30 is the smallest number that can be broken down further into its prime factors. So, the prime factorization of 1173 is: 3^2 × 13 × 3.

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 1173: (1, 1173), (3, 391), (9, 130), (13, 90).
• Negative factor pairs of 1173: (-1, -1173), (-3, -391), (-9, -130), (-13, -90).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1173 are 1, 3, 9, 13, 39, 117, 391, and 1173.

• Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 1173.

• Prime factorization: Breaking down a number into its prime factors. The prime factorization of 1173 is 3² × 13 × 3.

• 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 1173 are (1, 1173), (3, 391), etc.

• Multiple: A number that can be divided by another number without a remainder. For example, 1173 is a multiple of 39. ```