Factors of 1567

The numbers that divide 1567 evenly are known as factors of 1567. A factor of 1567 is a number that divides the number without a remainder. The factors of 1567 are 1, 37, 43, and 1567.

Negative factors of 1567: -1, -37, -43, and -1567.

Prime factors of 1567: 37 and 43.

Prime factorization of 1567: 37 × 43.

The sum of factors of 1567: 1 + 37 + 43 + 1567 = 1648

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 1567. Identifying the numbers which are multiplied to get the number 1567 is the multiplication method.

Step 1: Multiply 1567 by 1, 1567 × 1 = 1567.

Step 2: Check for other numbers that give 1567 after multiplying 37 × 43 = 1567

Therefore, the positive factor pairs of 1567 are: (1, 1567) and (37, 43). All these factor pairs result in 1567. 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 1567 by 1, 1567 ÷ 1 = 1567.

Step 2: Continue dividing 1567 by the numbers until the remainder becomes 0.

1567 ÷ 1 = 1567

1567 ÷ 37 = 43

1567 ÷ 43 = 37

Therefore, the factors of 1567 are: 1, 37, 43, and 1567.

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 1567 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1567 ÷ 37 = 43

43 ÷ 43 = 1

The prime factors of 1567 are 37 and 43. The prime factorization of 1567 is: 37 × 43.

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

Step 1: Firstly, 1567 is divided by 37 to get 43. Here, 43 is a prime number, that cannot be divided anymore. So, the prime factorization of 1567 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 1567: (1, 1567) and (37, 43).

• Negative factor pairs of 1567: (-1, -1567) and (-37, -43).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1567 are 1, 37, 43, and 1567.

• Prime factors: The factors which are prime numbers. For example, 37 and 43 are prime factors of 1567.

• 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 1567 are (1, 1567) and (37, 43).

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to a given number. For example, 37 × 43 = 1567.

• Division method: A method to find factors by dividing the number by integers until the remainder is zero. For example, dividing 1567 by 37 gives 43, a factor.