Factors of 1145

The numbers that divide 1145 evenly are known as factors of 1145. A factor of 1145 is a number that divides the number without a remainder. The factors of 1145 are 1, 5, 229, and 1145.

Negative factors of 1145: -1, -5, -229, and -1145.

Prime factors of 1145: 5 and 229.

Prime factorization of 1145: 5 × 229.

The sum of factors of 1145: 1 + 5 + 229 + 1145 = 1380

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 1145. Identifying the numbers which are multiplied to get the number 1145 is the multiplication method.

Step 1: Multiply 1145 by 1, 1145 × 1 = 1145.

Step 2: Check for other numbers that give 1145 after multiplying 5 × 229 = 1145

Therefore, the positive factor pairs of 1145 are: (1, 1145) and (5, 229). All these factor pairs result in 1145. 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 1145 by 1, 1145 ÷ 1 = 1145.

Step 2: Continue dividing 1145 by the numbers until the remainder becomes 0.

1145 ÷ 1 = 1145

1145 ÷ 5 = 229

Therefore, the factors of 1145 are: 1, 5, 229, and 1145.

The factors can be found by dividing them 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 1145 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1145 ÷ 5 = 229

229 ÷ 229 = 1

The prime factors of 1145 are 5 and 229. The prime factorization of 1145 is: 5 × 229.

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

Step 1: Firstly, 1145 is divided by 5 to get 229.

Step 2: Divide 229 by 229 to get 1. So, the prime factorization of 1145 is: 5 × 229.

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 1145: (1, 1145) and (5, 229).
• Negative factor pairs of 1145: (-1, -1145) and (-5, -229).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1145 are 1, 5, 229, and 1145.

• Prime factors: The factors which are prime numbers. For example, 5 and 229 are prime factors of 1145.

• 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 1145 are (1, 1145) and (5, 229).

• Division method: A method of finding factors by dividing the number by whole numbers until the remainder is zero.

• Prime factorization: Breaking down a number into the product of its prime factors, such as 5 × 229 for 1145.