# Factors of 621

Factors of 621 are 1, 3, 9, 23, 27, 69, 207, and 621

#### How to find factors of a number

 1.   Find factors of 621 using Division Method 2.   Find factors of 621 using Prime Factorization 3.   Find factors of 621 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 621

• Divide 621 by 1: 621 ÷ 1 : Remainder = 0
• Divide 621 by 3: 621 ÷ 3 : Remainder = 0
• Divide 621 by 9: 621 ÷ 9 : Remainder = 0
• Divide 621 by 23: 621 ÷ 23 : Remainder = 0
• Divide 621 by 27: 621 ÷ 27 : Remainder = 0
• Divide 621 by 69: 621 ÷ 69 : Remainder = 0
• Divide 621 by 207: 621 ÷ 207 : Remainder = 0
• Divide 621 by 621: 621 ÷ 621 : Remainder = 0

Hence, Factors of 621 are 1, 3, 9, 23, 27, 69, 207, and 621

#### 2. Steps to find factors of 621 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 621 using the division method, follow these steps:

• Step 1. Start dividing 621 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 621, which is 3. Divide 621 by 3 to obtain the quotient (207).
621 ÷ 3 = 207
• Step 3. Repeat step 1 with the obtained quotient (207).
207 ÷ 3 = 69
69 ÷ 3 = 23
23 ÷ 23 = 1

So, the prime factorization of 621 is, 621 = 3 x 3 x 3 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 621 as shown below:

So, the prime factorization of 621 is, 621 = 3 x 3 x 3 x 23.

#### 3. Find factors of 621 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 621 would be the two numbers which, when multiplied, give 621 as the result.

The following table represents the calculation of factors of 621 in pairs:

Factor Pair Pair Factorization
1 and 621 1 x 621 = 621
3 and 207 3 x 207 = 621
9 and 69 9 x 69 = 621
23 and 27 23 x 27 = 621

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 621. They are called negative pair factors.

Hence, the negative pairs of 621 would be ( -1 , -621 ) , ( -3 , -207 ) , ( -9 , -69 ) and ( -23 , -27 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 23, 27, 69, 207, 621 are exact divisors of 621.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 621 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 621.

• Which is the smallest prime factor of 621?

Smallest prime factor of 621 is 3.

• Is 621 a perfect square?

No 621 is not a perfect square.

• What are five multiples of 621?

First five multiples of 621 are 1242, 1863, 2484, 3105, 3726.

• What is prime factorization of 621?

Prime factorization of 621 is 3 x 3 x 3 x 23.

• What are factors of 621?

Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.

• How do you find factors of a negative number? ( eg. -621 )?

Factors of -621 are -1, -3, -9, -23, -27, -69, -207, -621.

• Is 621 a whole number?

Yes 621 is a whole number.

• Which is greatest factor of 621?

The greatest factor of 621 is 207.

• What are the prime factors of 621?

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.
Prime factors of 621 are 3, 3, 3, 23.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 621. Can you help her?

Prime factors of 621 are 3, 3, 3, 23.
Hence, the product of prime factors of 69.

Can you help Rubel to find out the product of the even factors of 621?

Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.
Even factors of 621 are 0.
Hence, product of even factors of 621 is; 0 = 0.

Joy wants to calculate mean of all the factors of 621. Help him in finding the mean of 621.

Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 621 is 1 + 3 + 9 + 23 + 27 + 69 + 207 + 621 = 960.
Hence, the mean of factors of 621 is 960 ÷ 8 = 120.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 621? Help her in writing all the factors.

Positive factors are 1, 3, 9, 23, 27, 69, 207, 621.
Negative factors are -1, -3, -9, -23, -27, -69, -207, -621.

How many factors are there for 621?

Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621.
So there are in total 8 factors.

Joey wants to write all the prime factors of 621 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 621 are 3, 3, 3, 23.
So in exponential form it can be written as 33 x 23.

Kevin has been asked to write 7 factor(s) of 621. Can you predict the answer?

7 factor(s) of 621 are 1, 3, 9, 23, 27, 69, 207.