Factors of 1239

The numbers that divide 1239 evenly are known as factors of 1239. A factor of 1239 is a number that divides the number without remainder. The factors of 1239 are 1, 3, 413, and 1239.

Negative factors of 1239: -1, -3, -413, and -1239.

Prime factors of 1239: 3 and 413.

Prime factorization of 1239: 3 × 413.

The sum of factors of 1239: 1 + 3 + 413 + 1239 = 1656

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 1239. Identifying the numbers which are multiplied to get the number 1239 is the multiplication method.

Step 1: Multiply 1239 by 1, 1 × 1239 = 1239.

Step 2: Check for other numbers that give 1239 after multiplying 3 × 413 = 1239

Therefore, the positive factor pairs of 1239 are: (1, 1239) and (3, 413). All these factor pairs result in 1239. 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 1239 by 1, 1239 ÷ 1 = 1239.

Step 2: Continue dividing 1239 by the numbers until the remainder becomes 0.

1239 ÷ 1 = 1239

1239 ÷ 3 = 413

Therefore, the factors of 1239 are: 1, 3, 413, 1239.

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 1239 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1239 ÷ 3 = 413

413 is a prime number and cannot be further divided by any number other than itself and 1. The prime factors of 1239 are 3 and 413. The prime factorization of 1239 is: 3 × 413.

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

Step 1: Firstly, 1239 is divided by 3 to get 413. 413 is a prime number and cannot be further divided. So, the prime factorization of 1239 is: 3 × 413.

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 1239: (1, 1239) and (3, 413).

• Negative factor pairs of 1239: (-1, -1239) and (-3, -413).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1239 are 1, 3, 413, and 1239.

• Prime factors: The factors which are prime numbers. For example, 3 and 413 are prime factors of 1239.

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1239 is 3 × 413.

• 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 1239 are (1, 1239) and (3, 413).

• Negative factors: The negative counterparts of the positive factors that also divide the number evenly. For example, the negative factors of 1239 are -1, -3, -413, and -1239.