Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, and 6600

How to find factors of a number

1. Steps to find factors of 6600 using Division Method

Example: Find factors of 6600

  • Divide 6600 by 1: 6600 ÷ 1 : Remainder = 0
  • Divide 6600 by 2: 6600 ÷ 2 : Remainder = 0
  • Divide 6600 by 3: 6600 ÷ 3 : Remainder = 0
  • Divide 6600 by 4: 6600 ÷ 4 : Remainder = 0
  • Divide 6600 by 5: 6600 ÷ 5 : Remainder = 0
  • Divide 6600 by 6: 6600 ÷ 6 : Remainder = 0
  • Divide 6600 by 8: 6600 ÷ 8 : Remainder = 0
  • Divide 6600 by 10: 6600 ÷ 10 : Remainder = 0
  • Divide 6600 by 11: 6600 ÷ 11 : Remainder = 0
  • Divide 6600 by 12: 6600 ÷ 12 : Remainder = 0
  • Divide 6600 by 15: 6600 ÷ 15 : Remainder = 0
  • Divide 6600 by 20: 6600 ÷ 20 : Remainder = 0
  • Divide 6600 by 22: 6600 ÷ 22 : Remainder = 0
  • Divide 6600 by 24: 6600 ÷ 24 : Remainder = 0
  • Divide 6600 by 25: 6600 ÷ 25 : Remainder = 0
  • Divide 6600 by 30: 6600 ÷ 30 : Remainder = 0
  • Divide 6600 by 33: 6600 ÷ 33 : Remainder = 0
  • Divide 6600 by 40: 6600 ÷ 40 : Remainder = 0
  • Divide 6600 by 44: 6600 ÷ 44 : Remainder = 0
  • Divide 6600 by 50: 6600 ÷ 50 : Remainder = 0
  • Divide 6600 by 55: 6600 ÷ 55 : Remainder = 0
  • Divide 6600 by 60: 6600 ÷ 60 : Remainder = 0
  • Divide 6600 by 66: 6600 ÷ 66 : Remainder = 0
  • Divide 6600 by 75: 6600 ÷ 75 : Remainder = 0
  • Divide 6600 by 88: 6600 ÷ 88 : Remainder = 0
  • Divide 6600 by 100: 6600 ÷ 100 : Remainder = 0
  • Divide 6600 by 110: 6600 ÷ 110 : Remainder = 0
  • Divide 6600 by 120: 6600 ÷ 120 : Remainder = 0
  • Divide 6600 by 132: 6600 ÷ 132 : Remainder = 0
  • Divide 6600 by 150: 6600 ÷ 150 : Remainder = 0
  • Divide 6600 by 165: 6600 ÷ 165 : Remainder = 0
  • Divide 6600 by 200: 6600 ÷ 200 : Remainder = 0
  • Divide 6600 by 220: 6600 ÷ 220 : Remainder = 0
  • Divide 6600 by 264: 6600 ÷ 264 : Remainder = 0
  • Divide 6600 by 275: 6600 ÷ 275 : Remainder = 0
  • Divide 6600 by 300: 6600 ÷ 300 : Remainder = 0
  • Divide 6600 by 330: 6600 ÷ 330 : Remainder = 0
  • Divide 6600 by 440: 6600 ÷ 440 : Remainder = 0
  • Divide 6600 by 550: 6600 ÷ 550 : Remainder = 0
  • Divide 6600 by 600: 6600 ÷ 600 : Remainder = 0
  • Divide 6600 by 660: 6600 ÷ 660 : Remainder = 0
  • Divide 6600 by 825: 6600 ÷ 825 : Remainder = 0
  • Divide 6600 by 1100: 6600 ÷ 1100 : Remainder = 0
  • Divide 6600 by 1320: 6600 ÷ 1320 : Remainder = 0
  • Divide 6600 by 1650: 6600 ÷ 1650 : Remainder = 0
  • Divide 6600 by 2200: 6600 ÷ 2200 : Remainder = 0
  • Divide 6600 by 3300: 6600 ÷ 3300 : Remainder = 0
  • Divide 6600 by 6600: 6600 ÷ 6600 : Remainder = 0

Hence, Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, and 6600

2. Steps to find factors of 6600 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 6600 using the division method, follow these steps:

  • Step 1. Start dividing 6600 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 6600, which is 2. Divide 6600 by 2 to obtain the quotient (3300).
    6600 ÷ 2 = 3300
  • Step 3. Repeat step 1 with the obtained quotient (3300).
    3300 ÷ 2 = 1650
    1650 ÷ 2 = 825
    825 ÷ 3 = 275
    275 ÷ 5 = 55
    55 ÷ 5 = 11
    11 ÷ 11 = 1

So, the prime factorization of 6600 is, 6600 = 2 x 2 x 2 x 3 x 5 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 6600 as shown below:

So, the prime factorization of 6600 is, 6600 = 2 x 2 x 2 x 3 x 5 x 5 x 11.

3. Find factors of 6600 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 6600 would be the two numbers which, when multiplied, give 6600 as the result.

The following table represents the calculation of factors of 6600 in pairs:

Factor Pair Pair Factorization
1 and 6600 1 x 6600 = 6600
2 and 3300 2 x 3300 = 6600
3 and 2200 3 x 2200 = 6600
4 and 1650 4 x 1650 = 6600
5 and 1320 5 x 1320 = 6600
6 and 1100 6 x 1100 = 6600
8 and 825 8 x 825 = 6600
10 and 660 10 x 660 = 6600
11 and 600 11 x 600 = 6600
12 and 550 12 x 550 = 6600
15 and 440 15 x 440 = 6600
20 and 330 20 x 330 = 6600
22 and 300 22 x 300 = 6600
24 and 275 24 x 275 = 6600
25 and 264 25 x 264 = 6600
30 and 220 30 x 220 = 6600
33 and 200 33 x 200 = 6600
40 and 165 40 x 165 = 6600
44 and 150 44 x 150 = 6600
50 and 132 50 x 132 = 6600
55 and 120 55 x 120 = 6600
60 and 110 60 x 110 = 6600
66 and 100 66 x 100 = 6600
75 and 88 75 x 88 = 6600

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 6600. They are called negative pair factors.

Hence, the negative pairs of 6600 would be ( -1 , -6600 ) , ( -2 , -3300 ) , ( -3 , -2200 ) , ( -4 , -1650 ) , ( -5 , -1320 ) , ( -6 , -1100 ) , ( -8 , -825 ) , ( -10 , -660 ) , ( -11 , -600 ) , ( -12 , -550 ) , ( -15 , -440 ) , ( -20 , -330 ) , ( -22 , -300 ) , ( -24 , -275 ) , ( -25 , -264 ) , ( -30 , -220 ) , ( -33 , -200 ) , ( -40 , -165 ) , ( -44 , -150 ) , ( -50 , -132 ) , ( -55 , -120 ) , ( -60 , -110 ) , ( -66 , -100 ) and ( -75 , -88 ) .

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. 6600 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6600.
  • Every number is a factor of zero (0), since 6600 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, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600 are exact divisors of 6600.
  • Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600. Each factor divides 6600 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600 are all less than or equal to 6600.

Frequently Asked Questions

  • What are the prime factors of 6600?

    The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
    Prime factors of 6600 are 2, 2, 2, 3, 5, 5, 11.

  • What two numbers make 6600?

    Two numbers that make 6600 are 2 and 3300.

  • What is the greatest prime factors of 6600?

    The greatest prime factor of 6600 is 11.

  • What are factors of 6600?

    Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.

  • How do you find factors of a negative number? ( eg. -6600 )?

    Factors of -6600 are -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -20, -22, -24, -25, -30, -33, -40, -44, -50, -55, -60, -66, -75, -88, -100, -110, -120, -132, -150, -165, -200, -220, -264, -275, -300, -330, -440, -550, -600, -660, -825, -1100, -1320, -1650, -2200, -3300, -6600.

  • What are five multiples of 6600?

    First five multiples of 6600 are 13200, 19800, 26400, 33000, 39600.

  • Write some multiples of 6600?

    First five multiples of 6600 are 13200, 19800, 26400, 33000.

  • Is 6600 a perfect square?

    No 6600 is not a perfect square.

  • What two numbers make 6600?

    Two numbers that make 6600 are 2 and 3300.

Examples of Factors

What is prime factorization of 6600?

Prime factorization of 6600 is 2 x 2 x 2 x 3 x 5 x 5 x 11 = 23 x 3 x 52 x 11.

Sammy is puzzled while calculating the prime factors of 6600. Can you help him find them?

Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
Prime factors of 6600 are 2, 2, 2, 3, 5, 5, 11

Kevin has been asked to write 47 factor(s) of 6600. Can you predict the answer?

47 factor(s) of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300.

Joey wants to write all the prime factors of 6600 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 6600 are 2, 2, 2, 3, 5, 5, 11.
So in exponential form it can be written as 23 x 3 x 52 x 11.

How many factors are there for 6600?

Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
So there are in total 48 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 6600? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -10, -11, -12, -15, -20, -22, -24, -25, -30, -33, -40, -44, -50, -55, -60, -66, -75, -88, -100, -110, -120, -132, -150, -165, -200, -220, -264, -275, -300, -330, -440, -550, -600, -660, -825, -1100, -1320, -1650, -2200, -3300, -6600.

Can you help Rubel to find out the product of the even factors of 6600?

Factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
Even factors of 6600 are 2, 4, 6, 8, 10, 12, 20, 22, 24, 30, 40, 44, 50, 60, 66, 88, 100, 110, 120, 132, 150, 200, 220, 264, 300, 330, 440, 550, 600, 660, 1100, 1320, 1650, 2200, 3300, 6600.
Hence, product of even factors of 6600 is; 2 x 4 x 6 x 8 x 10 x 12 x 20 x 22 x 24 x 30 x 40 x 44 x 50 x 60 x 66 x 88 x 100 x 110 x 120 x 132 x 150 x 200 x 220 x 264 x 300 x 330 x 440 x 550 x 600 x 660 x 1100 x 1320 x 1650 x 2200 x 3300 x 6600 = 1.4802353165126781e+74.