Factors of 1149

The numbers that divide 1149 evenly are known as factors of 1149. A factor of 1149 is a number that divides the number without remainder. The factors of 1149 are 1, 3, 383, and 1149.

Negative factors of 1149: -1, -3, -383, and -1149.

Prime factors of 1149: 3 and 383.

Prime factorization of 1149: 3 × 383.

The sum of factors of 1149: 1 + 3 + 383 + 1149 = 1536

Factors can be found using different methods. Mentioned below are some commonly used methods:

• Finding factors using multiplication
• Finding factors using the division method
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1149. Identifying the numbers which are multiplied to get the number 1149 is the multiplication method.

Step 1: Multiply 1149 by 1, 1149 × 1 = 1149.

Step 2: Check for other numbers that give 1149 after multiplying 3 × 383 = 1149

Therefore, the positive factor pairs of 1149 are: (1, 1149) and (3, 383). All these factor pairs result in 1149. 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 1149 by 1, 1149 ÷ 1 = 1149.

Step 2: Continue dividing 1149 by the numbers until the remainder becomes 0.

1149 ÷ 1 = 1149

1149 ÷ 3 = 383

Therefore, the factors of 1149 are: 1, 3, 383, 1149.

The factors can be found by dividing it 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 1149 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1149 ÷ 3 = 383

383 is a prime number and cannot be further divided by any number except 1 and itself.

The prime factors of 1149 are 3 and 383. The prime factorization of 1149 is: 3 × 383.

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

Step 1: Firstly, 1149 is divided by 3 to get 383.

Step 2: As 383 is a prime number, it cannot be divided further. So, the prime factorization of 1149 is: 3 × 383.

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 1149: (1, 1149) and (3, 383).
• Negative factor pairs of 1149: (-1, -1149) and (-3, -383).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1149 are 1, 3, 383, and 1149.

• Prime factors: The factors which are prime numbers. For example, 3 and 383 are prime factors of 1149.

• 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 1149 are (1, 1149) and (3, 383).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1149 is 3 × 383.

• Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the number. For example, using the multiplication method for 1149 yields (3, 383).