Factors of 1245

The numbers that divide 1245 evenly are known as factors of 1245. A factor of 1245 is a number that divides the number without remainder. The factors of 1245 are 1, 3, 5, 15, 83, 249, 415, and 1245.

Negative factors of 1245: -1, -3, -5, -15, -83, -249, -415, and -1245.

Prime factors of 1245: 3, 5, and 83.

Prime factorization of 1245: 3 × 5 × 83.

The sum of factors of 1245: 1 + 3 + 5 + 15 + 83 + 249 + 415 + 1245 = 2016

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 1245. Identifying the numbers which are multiplied to get the number 1245 is the multiplication method.

Step 1: Multiply 1245 by 1, 1245 × 1 = 1245.

Step 2: Check for other numbers that give 1245 after multiplying

3 × 415 = 1245

5 × 249 = 1245

15 × 83 = 1245

Therefore, the positive factor pairs of 1245 are: (1, 1245), (3, 415), (5, 249), (15, 83). All these factor pairs result in 1245. 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 1245 by 1, 1245 ÷ 1 = 1245.

Step 2: Continue dividing 1245 by the numbers until the remainder becomes 0.

1245 ÷ 1 = 1245

1245 ÷ 3 = 415

1245 ÷ 5 = 249

1245 ÷ 15 = 83

Therefore, the factors of 1245 are: 1, 3, 5, 15, 83, 249, 415, 1245.

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 1245 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1245 ÷ 3 = 415

415 ÷ 5 = 83

83 ÷ 83 = 1

The prime factors of 1245 are 3, 5, and 83. The prime factorization of 1245 is: 3 × 5 × 83.

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

Step 1: Firstly, 1245 is divided by 3 to get 415.

Step 2: Now divide 415 by 5 to get 83.

Step 3: Divide 83 by 83 to get 1.Here, 83 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1245 is: 3 × 5 × 83.

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 1245: (1, 1245), (3, 415), (5, 249), (15, 83).

• Negative factor pairs of 1245: (-1, -1245), (-3, -415), (-5, -249), (-15, -83).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1245 are 1, 3, 5, 15, 83, 249, 415, and 1245.

• Prime factors: The factors which are prime numbers. For example, 3, 5, and 83 are prime factors of 1245.

• 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 1245 are (1, 1245), (3, 415), etc.

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1245 is 3 × 5 × 83.

• Multiple: A number that can be divided by another number without leaving a remainder. For example, 1245 is a multiple of 5.