Factors of 1242

The numbers that divide 1242 evenly are known as factors of 1242. A factor of 1242 is a number that divides the number without a remainder. The factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, and 1242.

Negative factors of 1242: -1, -2, -3, -6, -9, -18, -23, -27, -46, -54, -69, -138, -207, -414, -621, and -1242.

Prime factors of 1242: 2, 3, and 23.

Prime factorization of 1242: 2 × 3² × 23.

The sum of factors of 1242: 1 + 2 + 3 + 6 + 9 + 18 + 23 + 27 + 46 + 54 + 69 + 138 + 207 + 414 + 621 + 1242 = 2880

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 1242. Identifying the numbers which are multiplied to get the number 1242 is the multiplication method.

Step 1: Multiply 1242 by 1, 1242 × 1 = 1242.

Step 2: Check for other numbers that give 1242 after multiplying

2 × 621 = 1242

3 × 414 = 1242

6 × 207 = 1242

9 × 138 = 1242

18 × 69 = 1242

23 × 54 = 1242

27 × 46 = 1242

Therefore, the positive factor pairs of 1242 are: (1, 1242), (2, 621), (3, 414), (6, 207), (9, 138), (18, 69), (23, 54), (27, 46). All these factor pairs result in 1242. 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 1242 by 1, 1242 ÷ 1 = 1242.

Step 2: Continue dividing 1242 by the numbers until the remainder becomes 0.

1242 ÷ 1 = 1242

1242 ÷ 2 = 621

1242 ÷ 3 = 414

1242 ÷ 6 = 207

1242 ÷ 9 = 138

1242 ÷ 18 = 69

1242 ÷ 23 = 54

1242 ÷ 27 = 46

Therefore, the factors of 1242 are: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, 1242.

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 1242 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1242 ÷ 2 = 621

621 ÷ 3 = 207

207 ÷ 3 = 69

69 ÷ 3 = 23

23 ÷ 23 = 1

The prime factors of 1242 are 2, 3, and 23. The prime factorization of 1242 is: 2 × 3² × 23.

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

Step 1: Firstly, 1242 is divided by 2 to get 621.

Step 2: Now divide 621 by 3 to get 207.

Step 3: Then divide 207 by 3 to get 69.

Step 4: Divide 69 by 3 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1242 is: 2 × 3² × 23.

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 1242: (1, 1242), (2, 621), (3, 414), (6, 207), (9, 138), (18, 69), (23, 54), (27, 46).

• Negative factor pairs of 1242: (-1, -1242), (-2, -621), (-3, -414), (-6, -207), (-9, -138), (-18, -69), (-23, -54), (-27, -46).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1242 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 138, 207, 414, 621, and 1242.

• Prime factors: The factors which are prime numbers. For example, 2, 3, and 23 are prime factors of 1242.

• 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 1242 are (1, 1242), (2, 621), etc.

• Prime factorization: Breaking down a number into the product of its prime factors. For example, 1242 = 2 × 3² × 23.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.