Factors of 1172

The numbers that divide 1172 evenly are known as factors of 1172. A factor of 1172 is a number that divides the number without remainder. The factors of 1172 are 1, 2, 4, 293, 586, and 1172.

Negative factors of 1172: -1, -2, -4, -293, -586, and -1172.

Prime factors of 1172: 2 and 293.

Prime factorization of 1172: 2² × 293.

The sum of factors of 1172: 1 + 2 + 4 + 293 + 586 + 1172 = 2058

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 1172. Identifying the numbers which are multiplied to get the number 1172 is the multiplication method.

Step 1: Multiply 1172 by 1, 1172 × 1 = 1172.

Step 2: Check for other numbers that give 1172 after multiplying

2 × 586 = 1172

4 × 293 = 1172

Therefore, the positive factor pairs of 1172 are: (1, 1172), (2, 586), and (4, 293). All these factor pairs result in 1172. 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 1172 by 1, 1172 ÷ 1 = 1172.

Step 2: Continue dividing 1172 by the numbers until the remainder becomes 0.

1172 ÷ 1 = 1172

1172 ÷ 2 = 586

1172 ÷ 4 = 293

Therefore, the factors of 1172 are: 1, 2, 4, 293, 586, and 1172.

The factors can be found by dividing them with a prime number. 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 1172 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1172 ÷ 2 = 586

586 ÷ 2 = 293

293 ÷ 293 = 1

The prime factors of 1172 are 2 and 293. The prime factorization of 1172 is: 2² × 293.

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

Step 1: Firstly, 1172 is divided by 2 to get 586.

Step 2: Now divide 586 by 2 to get 293.

Step 3: Here, 293 is a prime number, so it cannot be divided anymore. So, the prime factorization of 1172 is: 2² × 293.

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 1172: (1, 1172), (2, 586), and (4, 293).
• Negative factor pairs of 1172: (-1, -1172), (-2, -586), and (-4, -293).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1172 are 1, 2, 4, 293, 586, and 1172.

• Prime factors: The factors which are prime numbers. For example, 2 and 293 are prime factors of 1172.

• 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 1172 are (1, 1172), (2, 586), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, 1172 = 2² × 293.

• Negative factors: Factors that are negative numbers. For example, the negative factors of 1172 are -1, -2, -4, -293, -586, -1172.