# Factors of 9001

Factors of 9001 are 1 and 9001

#### How to find factors of a number

 1.   Find factors of 9001 using Division Method 2.   Find factors of 9001 using Prime Factorization 3.   Find factors of 9001 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 9001

• Divide 9001 by 1: 9001 ÷ 1 : Remainder = 0
• Divide 9001 by 9001: 9001 ÷ 9001 : Remainder = 0

Hence, Factors of 9001 are 1 and 9001

#### 2. Steps to find factors of 9001 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 9001 using the division method, follow these steps:

• Step 1. Start dividing 9001 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 9001, which is 9001. Divide 9001 by 9001 to obtain the quotient (1).
9001 ÷ 9001 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 9001 is, 9001 = 9001.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9001 as shown below:

So, the prime factorization of 9001 is, 9001 = 9001.

#### 3. Find factors of 9001 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 9001 would be the two numbers which, when multiplied, give 9001 as the result.

The following table represents the calculation of factors of 9001 in pairs:

Factor Pair Pair Factorization
1 and 9001 1 x 9001 = 9001

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 9001. They are called negative pair factors.

Hence, the negative pairs of 9001 would be ( -1 , -9001 ) , .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 9001 are exact divisors of 9001.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 9001 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 9001.

• What are the prime factors of 9001?

The factors of 9001 are 1, 9001.
Prime factors of 9001 are 9001.

• What is the sum of all factors of 9001?

The sum of all factors of 9001 is 9002.

• What are the pair factors of 9001?

Pair factors of 9001 are (1,9001).

• What two numbers make 9001?

Two numbers that make 9001 are 9001 and 1.

• What are multiples of 9001?

First five multiples of 9001 are 18002, 27003, 36004, 45005.

• Is 9001 a perfect square?

No 9001 is not a perfect square.

• Which is greatest factor of 9001?

The greatest factor of 9001 is 1.

• How do you factors of 9001?

Factors of 9001 are 1, 9001.

• What are five multiples of 9001?

First five multiples of 9001 are 18002, 27003, 36004, 45005, 54006.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 9001?

Factors of 9001 are 1, 9001.
Even factors of 9001 are 0.
Hence, product of even factors of 9001 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 9001? Help her in writing all the factors.

Positive factors are 1, 9001.
Negative factors are -1, -9001.

How many factors are there for 9001?

Factors of 9001 are 1, 9001.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 9001. Can you help him find them?

Factors of 9001 are 1, 9001.
Prime factors of 9001 are 9001

Joey wants to write all the prime factors of 9001 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 9001 are 9001.
So in exponential form it can be written as 9001.

What is prime factorization of 9001?

Prime factorization of 9001 is 9001 = 9001.

Can you help Rubel to find out the product of the even factors of 9001?

Factors of 9001 are 1, 9001.
Even factors of 9001 are 0.
Hence, product of even factors of 9001 is; 0 = 0.