Factors of 6600 are numbers that, when multiplied in pairs give the product as 6600. There are overall 48 factors of 6600 among which 6600 is the biggest factor and its prime factors are 2, 3, 5, 11. The sum of all factors of 6600 is 22320.

• All Factors of 6600: 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
• Prime Factors of 6600: 2, 3, 5, 11
• Prime Factorization of 6600: 2³ × 3¹ × 5² × 11¹
• Sum of Factors of 6600: 22320

1.	What Are the Factors of 6600?
2.	Factors of 6600 by Prime Factorization
3.	Factors of 6600 in Pairs
4.	FAQs on Factors of 6600

Factors of 6600 are pairs of those numbers whose products result in 6600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 6600?

To find the factors of 6600, we will have to find the list of numbers that would divide 6600 without leaving any remainder.

• 6600/11 = 600; therefore, 11 is a factor of 6600 and 600 is also a factor of 6600.
• 6600/1650 = 4; therefore, 1650 is a factor of 6600 and 4 is also a factor of 6600.

Similarly we can find other factors. Hence, 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.

☛ Also Check:

• Factors of 31 - The factors of 31 are 1, 31
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The number 6600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 6600. The first step is to divide the number 6600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 6600 ÷ 2 = 3300
• 3300 ÷ 2 = 1650
• 1650 ÷ 2 = 825

Further dividing 825 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 825 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 6600 can be written as 2³ × 3¹ × 5² × 11¹ where 2, 3, 5, 11 are prime.

Pair factors of 6600 are the pairs of numbers that when multiplied give the product 6600. The factors of 6600 in pairs are:

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

Negative pair factors of 6600 are:

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

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.