# Factors of 5005

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, and 5005

#### How to find factors of a number

 1.   Find factors of 5005 using Division Method 2.   Find factors of 5005 using Prime Factorization 3.   Find factors of 5005 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 5005

• Divide 5005 by 1: 5005 ÷ 1 : Remainder = 0
• Divide 5005 by 5: 5005 ÷ 5 : Remainder = 0
• Divide 5005 by 7: 5005 ÷ 7 : Remainder = 0
• Divide 5005 by 11: 5005 ÷ 11 : Remainder = 0
• Divide 5005 by 13: 5005 ÷ 13 : Remainder = 0
• Divide 5005 by 35: 5005 ÷ 35 : Remainder = 0
• Divide 5005 by 55: 5005 ÷ 55 : Remainder = 0
• Divide 5005 by 65: 5005 ÷ 65 : Remainder = 0
• Divide 5005 by 77: 5005 ÷ 77 : Remainder = 0
• Divide 5005 by 91: 5005 ÷ 91 : Remainder = 0
• Divide 5005 by 143: 5005 ÷ 143 : Remainder = 0
• Divide 5005 by 385: 5005 ÷ 385 : Remainder = 0
• Divide 5005 by 455: 5005 ÷ 455 : Remainder = 0
• Divide 5005 by 715: 5005 ÷ 715 : Remainder = 0
• Divide 5005 by 1001: 5005 ÷ 1001 : Remainder = 0
• Divide 5005 by 5005: 5005 ÷ 5005 : Remainder = 0

Hence, Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, and 5005

#### 2. Steps to find factors of 5005 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 5005 using the division method, follow these steps:

• Step 1. Start dividing 5005 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 5005, which is 5. Divide 5005 by 5 to obtain the quotient (1001).
5005 ÷ 5 = 1001
• Step 3. Repeat step 1 with the obtained quotient (1001).
1001 ÷ 7 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 5005 is, 5005 = 5 x 7 x 11 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 5005 as shown below:

So, the prime factorization of 5005 is, 5005 = 5 x 7 x 11 x 13.

#### 3. Find factors of 5005 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 5005 would be the two numbers which, when multiplied, give 5005 as the result.

The following table represents the calculation of factors of 5005 in pairs:

Factor Pair Pair Factorization
1 and 5005 1 x 5005 = 5005
5 and 1001 5 x 1001 = 5005
7 and 715 7 x 715 = 5005
11 and 455 11 x 455 = 5005
13 and 385 13 x 385 = 5005
35 and 143 35 x 143 = 5005
55 and 91 55 x 91 = 5005
65 and 77 65 x 77 = 5005

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 5005. They are called negative pair factors.

Hence, the negative pairs of 5005 would be ( -1 , -5005 ) , ( -5 , -1001 ) , ( -7 , -715 ) , ( -11 , -455 ) , ( -13 , -385 ) , ( -35 , -143 ) , ( -55 , -91 ) and ( -65 , -77 ) .

#### What are factors?

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

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005 are exact divisors of 5005.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 5005 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 5005.

• What are the prime factors of 5005?

The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
Prime factors of 5005 are 5, 7, 11, 13.

• What is the sum of all factors of 5005?

The sum of all factors of 5005 is 8064.

• What are the pair factors of 5005?

Pair factors of 5005 are (1,5005), (5,1001), (7,715), (11,455), (13,385), (35,143), (55,91), (65,77).

• What two numbers make 5005?

Two numbers that make 5005 are 5 and 1001.

• What are multiples of 5005?

First five multiples of 5005 are 10010, 15015, 20020, 25025.

• Is 5005 a perfect square?

No 5005 is not a perfect square.

• Which is greatest factor of 5005?

The greatest factor of 5005 is 1001.

• How do you factors of 5005?

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.

• What are five multiples of 5005?

First five multiples of 5005 are 10010, 15015, 20020, 25025, 30030.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 5005?

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
Even factors of 5005 are 0.
Hence, product of even factors of 5005 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 5005? Help her in writing all the factors.

Positive factors are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
Negative factors are -1, -5, -7, -11, -13, -35, -55, -65, -77, -91, -143, -385, -455, -715, -1001, -5005.

How many factors are there for 5005?

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
So there are in total 16 factors.

Sammy is puzzled while calculating the prime factors of 5005. Can you help him find them?

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
Prime factors of 5005 are 5, 7, 11, 13

Joey wants to write all the prime factors of 5005 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 5005 are 5, 7, 11, 13.
So in exponential form it can be written as 5 x 7 x 11 x 13.

What is prime factorization of 5005?

Prime factorization of 5005 is 5 x 7 x 11 x 13 = 5 x 7 x 11 x 13.

Can you help Rubel to find out the product of the even factors of 5005?

Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005.
Even factors of 5005 are 0.
Hence, product of even factors of 5005 is; 0 = 0.