Factors of 1144

The numbers that divide 1144 evenly are known as factors of 1144. A factor of 1144 is a number that divides the number without remainder. The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, and 1144.

Negative factors of 1144: -1, -2, -4, -8, -11, -13, -22, -26, -44, -52, -88, -104, -143, -286, -572, and -1144.

Prime factors of 1144: 2, 11, and 13.

Prime factorization of 1144: (2³ x11x 13).

The sum of factors of 1144: 1 + 2 + 4 + 8 + 11 + 13 + 22 + 26 + 44 + 52 + 88 + 104 + 143 + 286 + 572 + 1144 = 2430

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 1144. Identifying the numbers which are multiplied to get the number 1144 is the multiplication method.

Step 1: Multiply 1144 by 1, 1144 × 1 = 1144.

Step 2: Check for other numbers that give 1144 after multiplying

(2 x72 = 1144)

(4 x 286 = 1144)

(8 x143 = 1144)

(11 x 104 = 1144)

(13 x 88 = 1144)

(22 x 52 = 1144)

(26 x 44 = 1144)

Therefore, the positive factor pairs of 1144 are: (1, 1144), (2, 572), (4, 286), (8, 143), (11, 104), (13, 88), (22, 52), (26, 44). 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 1144 by 1, 1144 ÷ 1 = 1144.

Step 2: Continue dividing 1144 by the numbers until the remainder becomes 0.

1144 ÷ 1 = 1144

1144 ÷ 2 = 572

1144 ÷ 4 = 286

1144 ÷ 8 = 143

1144 ÷ 11 = 104

1144 ÷ 13 = 88

1144 ÷ 22 = 52

1144 ÷ 26 = 44

Therefore, the factors of 1144 are: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.

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 1144 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1144 ÷ 2 = 572

572 ÷ 2 = 286

286 ÷ 2 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

The prime factors of 1144 are 2, 11, and 13. The prime factorization of 1144 is: (2³ x 11 x 13\).

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

Step 1: Firstly, 1144 is divided by 2 to get 572.

Step 2: Now divide 572 by 2 to get 286.

Step 3: Then divide 286 by 2 to get 143.

Step 4: Divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1144 is: (2^{3 x} 11 x13).

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 1144: (1, 1144), (2, 572), (4, 286), (8, 143), (11, 104), (13, 88), (22, 52), and (26, 44).
• Negative factor pairs of 1144: (-1, -1144), (-2, -572), (-4, -286), (-8, -143), (-11, -104), (-13, -88), (-22, -52), and (-26, -44).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, and 1144.

• Prime factors: The factors which are prime numbers. For example, 2, 11, and 13 are prime factors of 1144.

• 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 1144 are (1, 1144), (2, 572), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1144 is (2³ x 11 x 13).

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, using multiplication to find factor pairs of 1144 like (8, 143).