Factors of 1561

The numbers that divide 1561 evenly are known as factors of 1561. A factor of 1561 is a number that divides the number without a remainder. The factors of 1561 are 1, 37, 43, and 1561.

Negative factors of 1561: -1, -37, -43, and -1561.

Prime factors of 1561: 37 and 43.

Prime factorization of 1561: 37 × 43.

The sum of factors of 1561: 1 + 37 + 43 + 1561 = 1642

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 1561. Identifying the numbers which are multiplied to get the number 1561 is the multiplication method.

Step 1: Multiply 1561 by 1, 1561 × 1 = 1561.

Step 2: Check for other numbers that give 1561 after multiplying 37 × 43 = 1561

Therefore, the positive factor pairs of 1561 are: (1, 1561) and (37, 43). All these factor pairs result in 1561. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 1561 by 1, 1561 ÷ 1 = 1561.

Step 2: Continue dividing 1561 by the numbers until the remainder becomes 0.

1561 ÷ 1 = 1561

1561 ÷ 37 = 43

1561 ÷ 43 = 37

Therefore, the factors of 1561 are: 1, 37, 43, 1561.

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 a factor tree

Using Prime Factorization: In this process, prime factors of 1561 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1561 ÷ 37 = 43

43 ÷ 43 = 1

The prime factors of 1561 are 37 and 43. The prime factorization of 1561 is: 37 × 43.

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

Step 1: Firstly, 1561 is divided by 37 to get 43.

Step 2: Now divide 43 by 43 to get 1. Here, 43 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1561 is: 37 × 43.

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 1561: (1, 1561) and (37, 43).

• Negative factor pairs of 1561: (-1, -1561) and (-37, -43).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1561 are 1, 37, 43, and 1561.

• Prime factors: The factors which are prime numbers. For example, 37 and 43 are prime factors of 1561.

• 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 1561 are (1, 1561) and (37, 43).

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

• Division method: A strategy to find factors by dividing the given number by whole numbers until a remainder of zero is reached.