# Factors of 9999

Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, and 9999

#### How to find factors of a number

 1.   Find factors of 9999 using Division Method 2.   Find factors of 9999 using Prime Factorization 3.   Find factors of 9999 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 9999

• Divide 9999 by 1: 9999 ÷ 1 : Remainder = 0
• Divide 9999 by 3: 9999 ÷ 3 : Remainder = 0
• Divide 9999 by 9: 9999 ÷ 9 : Remainder = 0
• Divide 9999 by 11: 9999 ÷ 11 : Remainder = 0
• Divide 9999 by 33: 9999 ÷ 33 : Remainder = 0
• Divide 9999 by 99: 9999 ÷ 99 : Remainder = 0
• Divide 9999 by 101: 9999 ÷ 101 : Remainder = 0
• Divide 9999 by 303: 9999 ÷ 303 : Remainder = 0
• Divide 9999 by 909: 9999 ÷ 909 : Remainder = 0
• Divide 9999 by 1111: 9999 ÷ 1111 : Remainder = 0
• Divide 9999 by 3333: 9999 ÷ 3333 : Remainder = 0
• Divide 9999 by 9999: 9999 ÷ 9999 : Remainder = 0

Hence, Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, and 9999

#### 2. Steps to find factors of 9999 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 9999 using the division method, follow these steps:

• Step 1. Start dividing 9999 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 9999, which is 3. Divide 9999 by 3 to obtain the quotient (3333).
9999 ÷ 3 = 3333
• Step 3. Repeat step 1 with the obtained quotient (3333).
3333 ÷ 3 = 1111
1111 ÷ 11 = 101
101 ÷ 101 = 1

So, the prime factorization of 9999 is, 9999 = 3 x 3 x 11 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9999 as shown below:

So, the prime factorization of 9999 is, 9999 = 3 x 3 x 11 x 101.

#### 3. Find factors of 9999 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 9999 would be the two numbers which, when multiplied, give 9999 as the result.

The following table represents the calculation of factors of 9999 in pairs:

Factor Pair Pair Factorization
1 and 9999 1 x 9999 = 9999
3 and 3333 3 x 3333 = 9999
9 and 1111 9 x 1111 = 9999
11 and 909 11 x 909 = 9999
33 and 303 33 x 303 = 9999
99 and 101 99 x 101 = 9999

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 9999. They are called negative pair factors.

Hence, the negative pairs of 9999 would be ( -1 , -9999 ) , ( -3 , -3333 ) , ( -9 , -1111 ) , ( -11 , -909 ) , ( -33 , -303 ) and ( -99 , -101 ) .

#### 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 9999 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, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999 are exact divisors of 9999.
• Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. Each factor divides 9999 without leaving a remainder.

• Which is the smallest prime factor of 9999?

Smallest prime factor of 9999 is 3.

• Is 9999 a perfect square?

No 9999 is not a perfect square.

• What are five multiples of 9999?

First five multiples of 9999 are 19998, 29997, 39996, 49995, 59994.

• What is prime factorization of 9999?

Prime factorization of 9999 is 3 x 3 x 11 x 101.

• What are factors of 9999?

Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.

• How do you find factors of a negative number? ( eg. -9999 )?

Factors of -9999 are -1, -3, -9, -11, -33, -99, -101, -303, -909, -1111, -3333, -9999.

• Is 9999 a whole number?

Yes 9999 is a whole number.

• Which is greatest factor of 9999?

The greatest factor of 9999 is 3333.

• What are the prime factors of 9999?

The factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.
Prime factors of 9999 are 3, 3, 11, 101.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 9999. Can you help her?

Prime factors of 9999 are 3, 3, 11, 101.
Hence, the product of prime factors of 3333.

Can you help Rubel to find out the product of the even factors of 9999?

Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.
Even factors of 9999 are 0.
Hence, product of even factors of 9999 is; 0 = 0.

Joy wants to calculate mean of all the factors of 9999. Help him in finding the mean of 9999.

Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 9999 is 1 + 3 + 9 + 11 + 33 + 99 + 101 + 303 + 909 + 1111 + 3333 + 9999 = 15912.
Hence, the mean of factors of 9999 is 15912 ÷ 12 = 1326.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 9999? Help her in writing all the factors.

Positive factors are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.
Negative factors are -1, -3, -9, -11, -33, -99, -101, -303, -909, -1111, -3333, -9999.

How many factors are there for 9999?

Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999.
So there are in total 12 factors.

Joey wants to write all the prime factors of 9999 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 9999 are 3, 3, 11, 101.
So in exponential form it can be written as 32 x 11 x 101.

Kevin has been asked to write 11 factor(s) of 9999. Can you predict the answer?

11 factor(s) of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333.