Factors of 621

The numbers that divide 621 evenly are known as factors of 621. A factor of 621 is a number that divides the number without a remainder. The factors of 621 are 1, 3, 9, 23, 27, 69, 207, and 621.

Negative factors of 621: -1, -3, -9, -23, -27, -69, -207, and -621.

Prime factors of 621: 3 and 23.

Prime factorization of 621: 3 × 3 × 69, with 69 being 3 × 23. Therefore, 621 = 3² × 23.

The sum of factors of 621: 1 + 3 + 9 + 23 + 27 + 69 + 207 + 621 = 960

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 621. Identifying the numbers which are multiplied to get the number 621 is the multiplication method.

Step 1: Multiply 621 by 1, 621 × 1 = 621.

Step 2: Check for other numbers that give 621 after multiplying

3 × 207 = 621

9 × 69 = 621

23 × 27 = 621

Therefore, the positive factor pairs of 621 are: (1, 621), (3, 207), (9, 69), (23, 27). 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 621 by 1, 621 ÷ 1 = 621.

Step 2: Continue dividing 621 by the numbers until the remainder becomes 0.

621 ÷ 1 = 621

621 ÷ 3 = 207

621 ÷ 9 = 69

621 ÷ 23 = 27

Therefore, the factors of 621 are: 1, 3, 9, 23, 27, 69, 207, 621.

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

621 ÷ 3 = 207

207 ÷ 3 = 69

69 ÷ 3 = 23

23 ÷ 23 = 1

The prime factors of 621 are 3 and 23. The prime factorization of 621 is: 3² × 23.

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

Step 1: Firstly, 621 is divided by 3 to get 207.

Step 2: Now divide 207 by 3 to get 69.

Step 3: Then divide 69 by 3 to get 23. Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 621 is: 3² × 23.

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 621: (1, 621), (3, 207), (9, 69), (23, 27).
• Negative factor pairs of 621: (-1, -621), (-3, -207), (-9, -69), (-23, -27).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 621 are 1, 3, 9, 23, 27, 69, 207, and 621.

• Prime factors: The factors which are prime numbers. For example, 3 and 23 are prime factors of 621.

• 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 621 are (1, 621), (3, 207), etc.

• Prime factorization: Breaking down a composite number into a product of its prime factors. For example, the prime factorization of 621 is 3² × 23.

• Multiples: The result of multiplying a number by an integer. For example, 621 is a multiple of 9.