# Factors of 1002

Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002

#### How to find factors of a number

 1.   Find factors of 1002 using Division Method 2.   Find factors of 1002 using Prime Factorization 3.   Find factors of 1002 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1002

• Divide 1002 by 1: 1002 ÷ 1 : Remainder = 0
• Divide 1002 by 2: 1002 ÷ 2 : Remainder = 0
• Divide 1002 by 3: 1002 ÷ 3 : Remainder = 0
• Divide 1002 by 6: 1002 ÷ 6 : Remainder = 0
• Divide 1002 by 167: 1002 ÷ 167 : Remainder = 0
• Divide 1002 by 334: 1002 ÷ 334 : Remainder = 0
• Divide 1002 by 501: 1002 ÷ 501 : Remainder = 0
• Divide 1002 by 1002: 1002 ÷ 1002 : Remainder = 0

Hence, Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, and 1002

#### 2. Steps to find factors of 1002 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 1002 using the division method, follow these steps:

• Step 1. Start dividing 1002 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 1002, which is 2. Divide 1002 by 2 to obtain the quotient (501).
1002 ÷ 2 = 501
• Step 3. Repeat step 1 with the obtained quotient (501).
501 ÷ 3 = 167
167 ÷ 167 = 1

So, the prime factorization of 1002 is, 1002 = 2 x 3 x 167.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1002 as shown below:

So, the prime factorization of 1002 is, 1002 = 2 x 3 x 167.

#### 3. Find factors of 1002 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 1002 would be the two numbers which, when multiplied, give 1002 as the result.

The following table represents the calculation of factors of 1002 in pairs:

Factor Pair Pair Factorization
1 and 1002 1 x 1002 = 1002
2 and 501 2 x 501 = 1002
3 and 334 3 x 334 = 1002
6 and 167 6 x 167 = 1002

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 1002. They are called negative pair factors.

Hence, the negative pairs of 1002 would be ( -1 , -1002 ) , ( -2 , -501 ) , ( -3 , -334 ) and ( -6 , -167 ) .

#### 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. 1002 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, 167, 334, 501, 1002 are exact divisors of 1002.
• 1 is a factor of every number. Eg. 1 is a factor of 1002.
• Every number is a factor of zero (0), since 1002 x 0 = 0.

• What are the prime factors of 1002?

The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002.
Prime factors of 1002 are 2, 3, 167.

• What two numbers make 1002?

Two numbers that make 1002 are 2 and 501.

• What is the greatest prime factors of 1002?

The greatest prime factor of 1002 is 167.

• What are factors of 1002?

Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002.

• How do you find factors of a negative number? ( eg. -1002 )?

Factors of -1002 are -1, -2, -3, -6, -167, -334, -501, -1002.

• What are five multiples of 1002?

First five multiples of 1002 are 2004, 3006, 4008, 5010, 6012.

• Write some multiples of 1002?

First five multiples of 1002 are 2004, 3006, 4008, 5010.

• Is 1002 a perfect square?

No 1002 is not a perfect square.

• What two numbers make 1002?

Two numbers that make 1002 are 2 and 501.

#### Examples of Factors

What is prime factorization of 1002?

Prime factorization of 1002 is 2 x 3 x 167 = 2 x 3 x 167.

Sammy is puzzled while calculating the prime factors of 1002. Can you help him find them?

Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002.
Prime factors of 1002 are 2, 3, 167

Kevin has been asked to write 7 factor(s) of 1002. Can you predict the answer?

7 factor(s) of 1002 are 1, 2, 3, 6, 167, 334, 501.

Joey wants to write all the prime factors of 1002 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1002 are 2, 3, 167.
So in exponential form it can be written as 2 x 3 x 167.

How many factors are there for 1002?

Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1002? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 167, 334, 501, 1002.
Negative factors are -1, -2, -3, -6, -167, -334, -501, -1002.

Can you help Rubel to find out the product of the even factors of 1002?

Factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002.
Even factors of 1002 are 2, 6, 334, 1002.
Hence, product of even factors of 1002 is; 2 x 6 x 334 x 1002 = 4016016.