# Factors of 2916

Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, and 2916

#### How to find factors of a number

 1.   Find factors of 2916 using Division Method 2.   Find factors of 2916 using Prime Factorization 3.   Find factors of 2916 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2916

• Divide 2916 by 1: 2916 ÷ 1 : Remainder = 0
• Divide 2916 by 2: 2916 ÷ 2 : Remainder = 0
• Divide 2916 by 3: 2916 ÷ 3 : Remainder = 0
• Divide 2916 by 4: 2916 ÷ 4 : Remainder = 0
• Divide 2916 by 6: 2916 ÷ 6 : Remainder = 0
• Divide 2916 by 9: 2916 ÷ 9 : Remainder = 0
• Divide 2916 by 12: 2916 ÷ 12 : Remainder = 0
• Divide 2916 by 18: 2916 ÷ 18 : Remainder = 0
• Divide 2916 by 27: 2916 ÷ 27 : Remainder = 0
• Divide 2916 by 36: 2916 ÷ 36 : Remainder = 0
• Divide 2916 by 54: 2916 ÷ 54 : Remainder = 0
• Divide 2916 by 81: 2916 ÷ 81 : Remainder = 0
• Divide 2916 by 108: 2916 ÷ 108 : Remainder = 0
• Divide 2916 by 162: 2916 ÷ 162 : Remainder = 0
• Divide 2916 by 243: 2916 ÷ 243 : Remainder = 0
• Divide 2916 by 324: 2916 ÷ 324 : Remainder = 0
• Divide 2916 by 486: 2916 ÷ 486 : Remainder = 0
• Divide 2916 by 729: 2916 ÷ 729 : Remainder = 0
• Divide 2916 by 972: 2916 ÷ 972 : Remainder = 0
• Divide 2916 by 1458: 2916 ÷ 1458 : Remainder = 0
• Divide 2916 by 2916: 2916 ÷ 2916 : Remainder = 0

Hence, Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, and 2916

#### 2. Steps to find factors of 2916 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 2916 using the division method, follow these steps:

• Step 1. Start dividing 2916 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 2916, which is 2. Divide 2916 by 2 to obtain the quotient (1458).
2916 ÷ 2 = 1458
• Step 3. Repeat step 1 with the obtained quotient (1458).
1458 ÷ 2 = 729
729 ÷ 3 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So, the prime factorization of 2916 is, 2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2916 as shown below:

So, the prime factorization of 2916 is, 2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3.

#### 3. Find factors of 2916 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 2916 would be the two numbers which, when multiplied, give 2916 as the result.

The following table represents the calculation of factors of 2916 in pairs:

Factor Pair Pair Factorization
1 and 2916 1 x 2916 = 2916
2 and 1458 2 x 1458 = 2916
3 and 972 3 x 972 = 2916
4 and 729 4 x 729 = 2916
6 and 486 6 x 486 = 2916
9 and 324 9 x 324 = 2916
12 and 243 12 x 243 = 2916
18 and 162 18 x 162 = 2916
27 and 108 27 x 108 = 2916
36 and 81 36 x 81 = 2916
54 and 54 54 x 54 = 2916

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 2916. They are called negative pair factors.

Hence, the negative pairs of 2916 would be ( -1 , -2916 ) , ( -2 , -1458 ) , ( -3 , -972 ) , ( -4 , -729 ) , ( -6 , -486 ) , ( -9 , -324 ) , ( -12 , -243 ) , ( -18 , -162 ) , ( -27 , -108 ) , ( -36 , -81 ) and ( -54 , -54 ) .

#### 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

• Each number is a factor of itself. Eg. 2916 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2916.
• Every number is a factor of zero (0), since 2916 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, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916 are exact divisors of 2916.
• Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. Each factor divides 2916 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916 are all less than or equal to 2916.

• Which is the smallest prime factor of 2916?

Smallest prime factor of 2916 is 2.

• Is 2916 a perfect square?

Yes 2916 is a perfect square.

• What are five multiples of 2916?

First five multiples of 2916 are 5832, 8748, 11664, 14580, 17496.

• What is prime factorization of 2916?

Prime factorization of 2916 is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3.

• What are factors of 2916?

Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.

• How do you find factors of a negative number? ( eg. -2916 )?

Factors of -2916 are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -729, -972, -1458, -2916.

• Is 2916 a whole number?

Yes 2916 is a whole number.

• Which is greatest factor of 2916?

The greatest factor of 2916 is 1458.

• What are the prime factors of 2916?

The factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.
Prime factors of 2916 are 2, 2, 3, 3, 3, 3, 3, 3.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2916. Can you help her?

Prime factors of 2916 are 2, 2, 3, 3, 3, 3, 3, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 2916?

Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.
Even factors of 2916 are 2, 4, 6, 12, 18, 36, 54, 108, 162, 324, 486, 972, 1458, 2916.
Hence, product of even factors of 2916 is; 2 x 4 x 6 x 12 x 18 x 36 x 54 x 108 x 162 x 324 x 486 x 972 x 1458 x 2916 = 2.2946825189512942e+26.

Joy wants to calculate mean of all the factors of 2916. Help him in finding the mean of 2916.

Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2916 is 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 54 + 81 + 108 + 162 + 243 + 324 + 486 + 729 + 972 + 1458 + 2916 = 7651.
Hence, the mean of factors of 2916 is 7651 ÷ 21 = 364.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2916? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.
Negative factors are -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -54, -81, -108, -162, -243, -324, -486, -729, -972, -1458, -2916.

How many factors are there for 2916?

Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916.
So there are in total 21 factors.

Joey wants to write all the prime factors of 2916 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2916 are 2, 2, 3, 3, 3, 3, 3, 3.
So in exponential form it can be written as 22 x 36.

Kevin has been asked to write 20 factor(s) of 2916. Can you predict the answer?

20 factor(s) of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458.