Factors of 1563

The numbers that divide 1563 evenly are known as factors of 1563. A factor of 1563 is a number that divides the number without remainder. The factors of 1563 are 1, 3, 17, 51, 307, and 1563.

Negative factors of 1563: -1, -3, -17, -51, -307, and -1563.

Prime factors of 1563: 3 and 17.

Prime factorization of 1563: 3 × 17 × 31.

The sum of factors of 1563: 1 + 3 + 17 + 51 + 307 + 1563 = 1942

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 1563. Identifying the numbers which are multiplied to get the number 1563 is the multiplication method.

Step 1: Multiply 1563 by 1, 1563 × 1 = 1563.

Step 2: Check for other numbers that give 1563 after multiplying

3 × 521 = 1563

17 × 92 = 1563

51 × 31 = 1563

Therefore, the positive factor pairs of 1563 are: (1, 1563), (3, 521), (17, 92), (51, 31). All these factor pairs result in 1563. 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 a whole number as factors. Factors can be calculated by following simple division method -

Step 1: Divide 1563 by 1, 1563 ÷ 1 = 1563.

Step 2: Continue dividing 1563 by the numbers until the remainder becomes 0.

1563 ÷ 1 = 1563

1563 ÷ 3 = 521

1563 ÷ 17 = 92

1563 ÷ 51 = 31

Therefore, the factors of 1563 are: 1, 3, 17, 51, 307, 1563.

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 1563 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1563 ÷ 3 = 521

521 ÷ 17 = 31

31 ÷ 31 = 1

The prime factors of 1563 are 3, 17, and 31. The prime factorization of 1563 is: 3 × 17 × 31.

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

Step 1: Firstly, 1563 is divided by 3 to get 521.

Step 2: Now divide 521 by 17 to get 31. Step 3: Here, 31 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1563 is: 3 × 17 × 31.

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 1563: (1, 1563), (3, 521), (17, 92), (51, 31).

• Negative factor pairs of 1563: (-1, -1563), (-3, -521), (-17, -92), (-51, -31).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1563 are 1, 3, 17, 51, 307, and 1563.

• Prime factors: The factors which are prime numbers. For example, 3 and 17 are prime factors of 1563.

• 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 1563 are (1, 1563), (3, 521), etc.

• Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1563 is 3 × 17 × 31.

• Negative factors: Factors that include negative numbers. For example, -1, -3, -17 are negative factors of 1563.