Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, and 2700

How to find factors of a number

1. Steps to find factors of 2700 using Division Method

Example: Find factors of 2700

  • Divide 2700 by 1: 2700 ÷ 1 : Remainder = 0
  • Divide 2700 by 2: 2700 ÷ 2 : Remainder = 0
  • Divide 2700 by 3: 2700 ÷ 3 : Remainder = 0
  • Divide 2700 by 4: 2700 ÷ 4 : Remainder = 0
  • Divide 2700 by 5: 2700 ÷ 5 : Remainder = 0
  • Divide 2700 by 6: 2700 ÷ 6 : Remainder = 0
  • Divide 2700 by 9: 2700 ÷ 9 : Remainder = 0
  • Divide 2700 by 10: 2700 ÷ 10 : Remainder = 0
  • Divide 2700 by 12: 2700 ÷ 12 : Remainder = 0
  • Divide 2700 by 15: 2700 ÷ 15 : Remainder = 0
  • Divide 2700 by 18: 2700 ÷ 18 : Remainder = 0
  • Divide 2700 by 20: 2700 ÷ 20 : Remainder = 0
  • Divide 2700 by 25: 2700 ÷ 25 : Remainder = 0
  • Divide 2700 by 27: 2700 ÷ 27 : Remainder = 0
  • Divide 2700 by 30: 2700 ÷ 30 : Remainder = 0
  • Divide 2700 by 36: 2700 ÷ 36 : Remainder = 0
  • Divide 2700 by 45: 2700 ÷ 45 : Remainder = 0
  • Divide 2700 by 50: 2700 ÷ 50 : Remainder = 0
  • Divide 2700 by 54: 2700 ÷ 54 : Remainder = 0
  • Divide 2700 by 60: 2700 ÷ 60 : Remainder = 0
  • Divide 2700 by 75: 2700 ÷ 75 : Remainder = 0
  • Divide 2700 by 90: 2700 ÷ 90 : Remainder = 0
  • Divide 2700 by 100: 2700 ÷ 100 : Remainder = 0
  • Divide 2700 by 108: 2700 ÷ 108 : Remainder = 0
  • Divide 2700 by 135: 2700 ÷ 135 : Remainder = 0
  • Divide 2700 by 150: 2700 ÷ 150 : Remainder = 0
  • Divide 2700 by 180: 2700 ÷ 180 : Remainder = 0
  • Divide 2700 by 225: 2700 ÷ 225 : Remainder = 0
  • Divide 2700 by 270: 2700 ÷ 270 : Remainder = 0
  • Divide 2700 by 300: 2700 ÷ 300 : Remainder = 0
  • Divide 2700 by 450: 2700 ÷ 450 : Remainder = 0
  • Divide 2700 by 540: 2700 ÷ 540 : Remainder = 0
  • Divide 2700 by 675: 2700 ÷ 675 : Remainder = 0
  • Divide 2700 by 900: 2700 ÷ 900 : Remainder = 0
  • Divide 2700 by 1350: 2700 ÷ 1350 : Remainder = 0
  • Divide 2700 by 2700: 2700 ÷ 2700 : Remainder = 0

Hence, Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, and 2700

2. Steps to find factors of 2700 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 2700 using the division method, follow these steps:

  • Step 1. Start dividing 2700 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 2700, which is 2. Divide 2700 by 2 to obtain the quotient (1350).
    2700 ÷ 2 = 1350
  • Step 3. Repeat step 1 with the obtained quotient (1350).
    1350 ÷ 2 = 675
    675 ÷ 3 = 225
    225 ÷ 3 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 2700 is, 2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2700 as shown below:

So, the prime factorization of 2700 is, 2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5.

3. Find factors of 2700 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 2700 would be the two numbers which, when multiplied, give 2700 as the result.

The following table represents the calculation of factors of 2700 in pairs:

Factor Pair Pair Factorization
1 and 2700 1 x 2700 = 2700
2 and 1350 2 x 1350 = 2700
3 and 900 3 x 900 = 2700
4 and 675 4 x 675 = 2700
5 and 540 5 x 540 = 2700
6 and 450 6 x 450 = 2700
9 and 300 9 x 300 = 2700
10 and 270 10 x 270 = 2700
12 and 225 12 x 225 = 2700
15 and 180 15 x 180 = 2700
18 and 150 18 x 150 = 2700
20 and 135 20 x 135 = 2700
25 and 108 25 x 108 = 2700
27 and 100 27 x 100 = 2700
30 and 90 30 x 90 = 2700
36 and 75 36 x 75 = 2700
45 and 60 45 x 60 = 2700
50 and 54 50 x 54 = 2700

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 2700. They are called negative pair factors.

Hence, the negative pairs of 2700 would be ( -1 , -2700 ) , ( -2 , -1350 ) , ( -3 , -900 ) , ( -4 , -675 ) , ( -5 , -540 ) , ( -6 , -450 ) , ( -9 , -300 ) , ( -10 , -270 ) , ( -12 , -225 ) , ( -15 , -180 ) , ( -18 , -150 ) , ( -20 , -135 ) , ( -25 , -108 ) , ( -27 , -100 ) , ( -30 , -90 ) , ( -36 , -75 ) , ( -45 , -60 ) and ( -50 , -54 ) .

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

  • Each number is a factor of itself. Eg. 2700 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 2700.
  • Every number is a factor of zero (0), since 2700 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, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700 are exact divisors of 2700.
  • Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. Each factor divides 2700 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700 are all less than or equal to 2700.

Frequently Asked Questions

  • Which is the smallest prime factor of 2700?

    Smallest prime factor of 2700 is 2.

  • Is 2700 a perfect square?

    No 2700 is not a perfect square.

  • What are five multiples of 2700?

    First five multiples of 2700 are 5400, 8100, 10800, 13500, 16200.

  • What is prime factorization of 2700?

    Prime factorization of 2700 is 2 x 2 x 3 x 3 x 3 x 5 x 5.

  • What are factors of 2700?

    Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.

  • How do you find factors of a negative number? ( eg. -2700 )?

    Factors of -2700 are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -90, -100, -108, -135, -150, -180, -225, -270, -300, -450, -540, -675, -900, -1350, -2700.

  • Is 2700 a whole number?

    Yes 2700 is a whole number.

  • Which is greatest factor of 2700?

    The greatest factor of 2700 is 1350.

  • What are the prime factors of 2700?

    The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
    Prime factors of 2700 are 2, 2, 3, 3, 3, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2700. Can you help her?

Prime factors of 2700 are 2, 2, 3, 3, 3, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 2700?

Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
Even factors of 2700 are 2, 4, 6, 10, 12, 18, 20, 30, 36, 50, 54, 60, 90, 100, 108, 150, 180, 270, 300, 450, 540, 900, 1350, 2700.
Hence, product of even factors of 2700 is; 2 x 4 x 6 x 10 x 12 x 18 x 20 x 30 x 36 x 50 x 54 x 60 x 90 x 100 x 108 x 150 x 180 x 270 x 300 x 450 x 540 x 900 x 1350 x 2700 = 6.147876261765083e+44.

Joy wants to calculate mean of all the factors of 2700. Help him in finding the mean of 2700.

Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2700 is 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 25 + 27 + 30 + 36 + 45 + 50 + 54 + 60 + 75 + 90 + 100 + 108 + 135 + 150 + 180 + 225 + 270 + 300 + 450 + 540 + 675 + 900 + 1350 + 2700 = 8680.
Hence, the mean of factors of 2700 is 8680 ÷ 36 = 241.11.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2700? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
Negative factors are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -25, -27, -30, -36, -45, -50, -54, -60, -75, -90, -100, -108, -135, -150, -180, -225, -270, -300, -450, -540, -675, -900, -1350, -2700.

How many factors are there for 2700?

Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700.
So there are in total 36 factors.

Joey wants to write all the prime factors of 2700 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2700 are 2, 2, 3, 3, 3, 5, 5.
So in exponential form it can be written as 22 x 33 x 52.

Kevin has been asked to write 35 factor(s) of 2700. Can you predict the answer?

35 factor(s) of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350.