# Factors of 2601

Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, and 2601

#### How to find factors of a number

 1.   Find factors of 2601 using Division Method 2.   Find factors of 2601 using Prime Factorization 3.   Find factors of 2601 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2601

• Divide 2601 by 1: 2601 ÷ 1 : Remainder = 0
• Divide 2601 by 3: 2601 ÷ 3 : Remainder = 0
• Divide 2601 by 9: 2601 ÷ 9 : Remainder = 0
• Divide 2601 by 17: 2601 ÷ 17 : Remainder = 0
• Divide 2601 by 51: 2601 ÷ 51 : Remainder = 0
• Divide 2601 by 153: 2601 ÷ 153 : Remainder = 0
• Divide 2601 by 289: 2601 ÷ 289 : Remainder = 0
• Divide 2601 by 867: 2601 ÷ 867 : Remainder = 0
• Divide 2601 by 2601: 2601 ÷ 2601 : Remainder = 0

Hence, Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, and 2601

#### 2. Steps to find factors of 2601 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 2601 using the division method, follow these steps:

• Step 1. Start dividing 2601 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 2601, which is 3. Divide 2601 by 3 to obtain the quotient (867).
2601 ÷ 3 = 867
• Step 3. Repeat step 1 with the obtained quotient (867).
867 ÷ 3 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1

So, the prime factorization of 2601 is, 2601 = 3 x 3 x 17 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2601 as shown below:

So, the prime factorization of 2601 is, 2601 = 3 x 3 x 17 x 17.

#### 3. Find factors of 2601 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 2601 would be the two numbers which, when multiplied, give 2601 as the result.

The following table represents the calculation of factors of 2601 in pairs:

Factor Pair Pair Factorization
1 and 2601 1 x 2601 = 2601
3 and 867 3 x 867 = 2601
9 and 289 9 x 289 = 2601
17 and 153 17 x 153 = 2601
51 and 51 51 x 51 = 2601

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 2601. They are called negative pair factors.

Hence, the negative pairs of 2601 would be ( -1 , -2601 ) , ( -3 , -867 ) , ( -9 , -289 ) , ( -17 , -153 ) and ( -51 , -51 ) .

#### 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, 3, 9, 17, 51, 153, 289, 867, 2601 are exact divisors of 2601.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2601 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2601.

• Which is the smallest prime factor of 2601?

Smallest prime factor of 2601 is 3.

• Is 2601 a perfect square?

Yes 2601 is a perfect square.

• What are five multiples of 2601?

First five multiples of 2601 are 5202, 7803, 10404, 13005, 15606.

• What is prime factorization of 2601?

Prime factorization of 2601 is 3 x 3 x 17 x 17.

• What are factors of 2601?

Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.

• How do you find factors of a negative number? ( eg. -2601 )?

Factors of -2601 are -1, -3, -9, -17, -51, -153, -289, -867, -2601.

• Is 2601 a whole number?

Yes 2601 is a whole number.

• Which is greatest factor of 2601?

The greatest factor of 2601 is 867.

• What are the prime factors of 2601?

The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.
Prime factors of 2601 are 3, 3, 17, 17.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2601. Can you help her?

Prime factors of 2601 are 3, 3, 17, 17.
Hence, the product of prime factors of 51.

Can you help Rubel to find out the product of the even factors of 2601?

Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.
Even factors of 2601 are 0.
Hence, product of even factors of 2601 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2601. Help him in finding the mean of 2601.

Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2601 is 1 + 3 + 9 + 17 + 51 + 153 + 289 + 867 + 2601 = 3991.
Hence, the mean of factors of 2601 is 3991 ÷ 9 = 443.44.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2601? Help her in writing all the factors.

Positive factors are 1, 3, 9, 17, 51, 153, 289, 867, 2601.
Negative factors are -1, -3, -9, -17, -51, -153, -289, -867, -2601.

How many factors are there for 2601?

Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601.
So there are in total 9 factors.

Joey wants to write all the prime factors of 2601 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2601 are 3, 3, 17, 17.
So in exponential form it can be written as 32 x 172.

Kevin has been asked to write 8 factor(s) of 2601. Can you predict the answer?

8 factor(s) of 2601 are 1, 3, 9, 17, 51, 153, 289, 867.