# Factors of 639

Factors of 639 are 1, 3, 9, 71, 213, and 639

#### How to find factors of a number

 1.   Find factors of 639 using Division Method 2.   Find factors of 639 using Prime Factorization 3.   Find factors of 639 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 639

• Divide 639 by 1: 639 ÷ 1 : Remainder = 0
• Divide 639 by 3: 639 ÷ 3 : Remainder = 0
• Divide 639 by 9: 639 ÷ 9 : Remainder = 0
• Divide 639 by 71: 639 ÷ 71 : Remainder = 0
• Divide 639 by 213: 639 ÷ 213 : Remainder = 0
• Divide 639 by 639: 639 ÷ 639 : Remainder = 0

Hence, Factors of 639 are 1, 3, 9, 71, 213, and 639

#### 2. Steps to find factors of 639 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 639 using the division method, follow these steps:

• Step 1. Start dividing 639 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 639, which is 3. Divide 639 by 3 to obtain the quotient (213).
639 ÷ 3 = 213
• Step 3. Repeat step 1 with the obtained quotient (213).
213 ÷ 3 = 71
71 ÷ 71 = 1

So, the prime factorization of 639 is, 639 = 3 x 3 x 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 639 as shown below:

So, the prime factorization of 639 is, 639 = 3 x 3 x 71.

#### 3. Find factors of 639 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 639 would be the two numbers which, when multiplied, give 639 as the result.

The following table represents the calculation of factors of 639 in pairs:

Factor Pair Pair Factorization
1 and 639 1 x 639 = 639
3 and 213 3 x 213 = 639
9 and 71 9 x 71 = 639

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 639. They are called negative pair factors.

Hence, the negative pairs of 639 would be ( -1 , -639 ) , ( -3 , -213 ) and ( -9 , -71 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Every number is a factor of zero (0), since 639 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 9, 71, 213, 639 are exact divisors of 639.
• Factors of 639 are 1, 3, 9, 71, 213, 639. Each factor divides 639 without leaving a remainder.

• Which is the smallest prime factor of 639?

Smallest prime factor of 639 is 3.

• Is 639 a perfect square?

No 639 is not a perfect square.

• What are five multiples of 639?

First five multiples of 639 are 1278, 1917, 2556, 3195, 3834.

• What is prime factorization of 639?

Prime factorization of 639 is 3 x 3 x 71.

• What are factors of 639?

Factors of 639 are 1, 3, 9, 71, 213, 639.

• How do you find factors of a negative number? ( eg. -639 )?

Factors of -639 are -1, -3, -9, -71, -213, -639.

• Is 639 a whole number?

Yes 639 is a whole number.

• Which is greatest factor of 639?

The greatest factor of 639 is 213.

• What are the prime factors of 639?

The factors of 639 are 1, 3, 9, 71, 213, 639.
Prime factors of 639 are 3, 3, 71.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 639. Can you help her?

Prime factors of 639 are 3, 3, 71.
Hence, the product of prime factors of 213.

Can you help Rubel to find out the product of the even factors of 639?

Factors of 639 are 1, 3, 9, 71, 213, 639.
Even factors of 639 are 0.
Hence, product of even factors of 639 is; 0 = 0.

Joy wants to calculate mean of all the factors of 639. Help him in finding the mean of 639.

Factors of 639 are 1, 3, 9, 71, 213, 639.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 639 is 1 + 3 + 9 + 71 + 213 + 639 = 936.
Hence, the mean of factors of 639 is 936 ÷ 6 = 156.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 639? Help her in writing all the factors.

Positive factors are 1, 3, 9, 71, 213, 639.
Negative factors are -1, -3, -9, -71, -213, -639.

How many factors are there for 639?

Factors of 639 are 1, 3, 9, 71, 213, 639.
So there are in total 6 factors.

Joey wants to write all the prime factors of 639 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 639 are 3, 3, 71.
So in exponential form it can be written as 32 x 71.

Kevin has been asked to write 5 factor(s) of 639. Can you predict the answer?

5 factor(s) of 639 are 1, 3, 9, 71, 213.