Factors of 3840 are the list of integers that we can split evenly into 3840. There are overall 36 factors of 3840, of which 2, 3, 5 are its prime factors. The Prime Factorization of 3840 is 2⁸ × 3¹ × 5¹.

• All Factors of 3840: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920 and 3840
• Prime Factors of 3840: 2, 3, 5
• Prime Factorization of 3840: 2⁸ × 3¹ × 5¹
• Sum of Factors of 3840: 12264

1.	What Are the Factors of 3840?
2.	Factors of 3840 by Prime Factorization
3.	Factors of 3840 in Pairs
4.	FAQs on Factors of 3840

Factors of 3840 are pairs of those numbers whose products result in 3840. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3840?

To find the factors of 3840, we will have to find the list of numbers that would divide 3840 without leaving any remainder.

• 3840/768 = 5; therefore, 768 is a factor of 3840 and 5 is also a factor of 3840.
• 3840/20 = 192; therefore, 20 is a factor of 3840 and 192 is also a factor of 3840.

Similarly we can find other factors. Hence, the factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840.

☛ Also Check:

• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The number 3840 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3840. The first step is to divide the number 3840 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3840 ÷ 2 = 1920
• 1920 ÷ 2 = 960
• 960 ÷ 2 = 480
• 480 ÷ 2 = 240
• 240 ÷ 2 = 120
• 120 ÷ 2 = 60
• 60 ÷ 2 = 30
• 30 ÷ 2 = 15

Further dividing 15 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 15 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 3840 can be written as 2⁸ × 3¹ × 5¹ where 2, 3, 5 are prime.

Pair factors of 3840 are the pairs of numbers that when multiplied give the product 3840. The factors of 3840 in pairs are:

• 1 × 3840 = (1, 3840)
• 2 × 1920 = (2, 1920)
• 3 × 1280 = (3, 1280)
• 4 × 960 = (4, 960)
• 5 × 768 = (5, 768)
• 6 × 640 = (6, 640)
• 8 × 480 = (8, 480)
• 10 × 384 = (10, 384)
• 12 × 320 = (12, 320)
• 15 × 256 = (15, 256)
• 16 × 240 = (16, 240)
• 20 × 192 = (20, 192)
• 24 × 160 = (24, 160)
• 30 × 128 = (30, 128)
• 32 × 120 = (32, 120)
• 40 × 96 = (40, 96)
• 48 × 80 = (48, 80)
• 60 × 64 = (60, 64)

Negative pair factors of 3840 are:

• -1 × -3840 = (-1, -3840)
• -2 × -1920 = (-2, -1920)
• -3 × -1280 = (-3, -1280)
• -4 × -960 = (-4, -960)
• -5 × -768 = (-5, -768)
• -6 × -640 = (-6, -640)
• -8 × -480 = (-8, -480)
• -10 × -384 = (-10, -384)
• -12 × -320 = (-12, -320)
• -15 × -256 = (-15, -256)
• -16 × -240 = (-16, -240)
• -20 × -192 = (-20, -192)
• -24 × -160 = (-24, -160)
• -30 × -128 = (-30, -128)
• -32 × -120 = (-32, -120)
• -40 × -96 = (-40, -96)
• -48 × -80 = (-48, -80)
• -60 × -64 = (-60, -64)

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