# Factors of 642

Factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642

#### How to find factors of a number

 1.   Find factors of 642 using Division Method 2.   Find factors of 642 using Prime Factorization 3.   Find factors of 642 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 642

• Divide 642 by 1: 642 ÷ 1 : Remainder = 0
• Divide 642 by 2: 642 ÷ 2 : Remainder = 0
• Divide 642 by 3: 642 ÷ 3 : Remainder = 0
• Divide 642 by 6: 642 ÷ 6 : Remainder = 0
• Divide 642 by 107: 642 ÷ 107 : Remainder = 0
• Divide 642 by 214: 642 ÷ 214 : Remainder = 0
• Divide 642 by 321: 642 ÷ 321 : Remainder = 0
• Divide 642 by 642: 642 ÷ 642 : Remainder = 0

Hence, Factors of 642 are 1, 2, 3, 6, 107, 214, 321, and 642

#### 2. Steps to find factors of 642 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 642 using the division method, follow these steps:

• Step 1. Start dividing 642 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 642, which is 2. Divide 642 by 2 to obtain the quotient (321).
642 ÷ 2 = 321
• Step 3. Repeat step 1 with the obtained quotient (321).
321 ÷ 3 = 107
107 ÷ 107 = 1

So, the prime factorization of 642 is, 642 = 2 x 3 x 107.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 642 as shown below:

So, the prime factorization of 642 is, 642 = 2 x 3 x 107.

#### 3. Find factors of 642 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 642 would be the two numbers which, when multiplied, give 642 as the result.

The following table represents the calculation of factors of 642 in pairs:

Factor Pair Pair Factorization
1 and 642 1 x 642 = 642
2 and 321 2 x 321 = 642
3 and 214 3 x 214 = 642
6 and 107 6 x 107 = 642

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 642. They are called negative pair factors.

Hence, the negative pairs of 642 would be ( -1 , -642 ) , ( -2 , -321 ) , ( -3 , -214 ) and ( -6 , -107 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 642 is a factor of itself.
• 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, 2, 3, 6, 107, 214, 321, 642 are exact divisors of 642.
• 1 is a factor of every number. Eg. 1 is a factor of 642.
• Every number is a factor of zero (0), since 642 x 0 = 0.

• What are the prime factors of 642?

The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642.
Prime factors of 642 are 2, 3, 107.

• What two numbers make 642?

Two numbers that make 642 are 2 and 321.

• What is the greatest prime factors of 642?

The greatest prime factor of 642 is 107.

• What are factors of 642?

Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642.

• How do you find factors of a negative number? ( eg. -642 )?

Factors of -642 are -1, -2, -3, -6, -107, -214, -321, -642.

• What are five multiples of 642?

First five multiples of 642 are 1284, 1926, 2568, 3210, 3852.

• Write some multiples of 642?

First five multiples of 642 are 1284, 1926, 2568, 3210.

• Is 642 a perfect square?

No 642 is not a perfect square.

• What two numbers make 642?

Two numbers that make 642 are 2 and 321.

#### Examples of Factors

What is prime factorization of 642?

Prime factorization of 642 is 2 x 3 x 107 = 2 x 3 x 107.

Sammy is puzzled while calculating the prime factors of 642. Can you help him find them?

Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642.
Prime factors of 642 are 2, 3, 107

Kevin has been asked to write 7 factor(s) of 642. Can you predict the answer?

7 factor(s) of 642 are 1, 2, 3, 6, 107, 214, 321.

Joey wants to write all the prime factors of 642 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 642 are 2, 3, 107.
So in exponential form it can be written as 2 x 3 x 107.

How many factors are there for 642?

Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 642? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 107, 214, 321, 642.
Negative factors are -1, -2, -3, -6, -107, -214, -321, -642.

Can you help Rubel to find out the product of the even factors of 642?

Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642.
Even factors of 642 are 2, 6, 214, 642.
Hence, product of even factors of 642 is; 2 x 6 x 214 x 642 = 1648656.