Factors of 3960 are the list of integers that we can split evenly into 3960. There are overall 48 factors of 3960 among which 3960 is the biggest factor and 2, 3, 5, 11 are its prime factors. The Prime Factorization of 3960 is 2³ × 3² × 5¹ × 11¹.

• All Factors of 3960: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980 and 3960
• Prime Factors of 3960: 2, 3, 5, 11
• Prime Factorization of 3960: 2³ × 3² × 5¹ × 11¹
• Sum of Factors of 3960: 14040

1.	What Are the Factors of 3960?
2.	Factors of 3960 by Prime Factorization
3.	Factors of 3960 in Pairs
4.	FAQs on Factors of 3960

Factors of 3960 are pairs of those numbers whose products result in 3960. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3960?

To find the factors of 3960, we will have to find the list of numbers that would divide 3960 without leaving any remainder.

• 3960/330 = 12; therefore, 330 is a factor of 3960 and 12 is also a factor of 3960.
• 3960/22 = 180; therefore, 22 is a factor of 3960 and 180 is also a factor of 3960.

Similarly we can find other factors. Hence, the factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960.

☛ Also Check:

• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45

The number 3960 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3960. The first step is to divide the number 3960 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3960 ÷ 2 = 1980
• 1980 ÷ 2 = 990
• 990 ÷ 2 = 495

Further dividing 495 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 495 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 3960 can be written as 2³ × 3² × 5¹ × 11¹ where 2, 3, 5, 11 are prime.

Pair factors of 3960 are the pairs of numbers that when multiplied give the product 3960. The factors of 3960 in pairs are:

• 1 × 3960 = (1, 3960)
• 2 × 1980 = (2, 1980)
• 3 × 1320 = (3, 1320)
• 4 × 990 = (4, 990)
• 5 × 792 = (5, 792)
• 6 × 660 = (6, 660)
• 8 × 495 = (8, 495)
• 9 × 440 = (9, 440)
• 10 × 396 = (10, 396)
• 11 × 360 = (11, 360)
• 12 × 330 = (12, 330)
• 15 × 264 = (15, 264)
• 18 × 220 = (18, 220)
• 20 × 198 = (20, 198)
• 22 × 180 = (22, 180)
• 24 × 165 = (24, 165)
• 30 × 132 = (30, 132)
• 33 × 120 = (33, 120)
• 36 × 110 = (36, 110)
• 40 × 99 = (40, 99)
• 44 × 90 = (44, 90)
• 45 × 88 = (45, 88)
• 55 × 72 = (55, 72)
• 60 × 66 = (60, 66)

Negative pair factors of 3960 are:

• -1 × -3960 = (-1, -3960)
• -2 × -1980 = (-2, -1980)
• -3 × -1320 = (-3, -1320)
• -4 × -990 = (-4, -990)
• -5 × -792 = (-5, -792)
• -6 × -660 = (-6, -660)
• -8 × -495 = (-8, -495)
• -9 × -440 = (-9, -440)
• -10 × -396 = (-10, -396)
• -11 × -360 = (-11, -360)
• -12 × -330 = (-12, -330)
• -15 × -264 = (-15, -264)
• -18 × -220 = (-18, -220)
• -20 × -198 = (-20, -198)
• -22 × -180 = (-22, -180)
• -24 × -165 = (-24, -165)
• -30 × -132 = (-30, -132)
• -33 × -120 = (-33, -120)
• -36 × -110 = (-36, -110)
• -40 × -99 = (-40, -99)
• -44 × -90 = (-44, -90)
• -45 × -88 = (-45, -88)
• -55 × -72 = (-55, -72)
• -60 × -66 = (-60, -66)

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