Factors of 3600 are integers that can be divided evenly into 3600. There are 45 factors of 3600 of which 3600 itself is the biggest factor and its prime factors are 2, 3, 5 The sum of all factors of 3600 is 12493.

• All Factors of 3600: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800 and 3600
• Prime Factors of 3600: 2, 3, 5
• Prime Factorization of 3600: 2⁴ × 3² × 5²
• Sum of Factors of 3600: 12493

1.	What Are the Factors of 3600?
2.	Factors of 3600 by Prime Factorization
3.	Factors of 3600 in Pairs
4.	FAQs on Factors of 3600

Factors of 3600 are pairs of those numbers whose products result in 3600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3600?

To find the factors of 3600, we will have to find the list of numbers that would divide 3600 without leaving any remainder.

• 3600/180 = 20; therefore, 180 is a factor of 3600 and 20 is also a factor of 3600.
• 3600/4 = 900; therefore, 4 is a factor of 3600 and 900 is also a factor of 3600.

Similarly we can find other factors. Hence, the factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.

☛ Also Check:

• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 3600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3600. The first step is to divide the number 3600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3600 ÷ 2 = 1800
• 1800 ÷ 2 = 900
• 900 ÷ 2 = 450
• 450 ÷ 2 = 225

Further dividing 225 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 225 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 3600 can be written as 2⁴ × 3² × 5² where 2, 3, 5 are prime.

Pair factors of 3600 are the pairs of numbers that when multiplied give the product 3600. The factors of 3600 in pairs are:

• 1 × 3600 = (1, 3600)
• 2 × 1800 = (2, 1800)
• 3 × 1200 = (3, 1200)
• 4 × 900 = (4, 900)
• 5 × 720 = (5, 720)
• 6 × 600 = (6, 600)
• 8 × 450 = (8, 450)
• 9 × 400 = (9, 400)
• 10 × 360 = (10, 360)
• 12 × 300 = (12, 300)
• 15 × 240 = (15, 240)
• 16 × 225 = (16, 225)
• 18 × 200 = (18, 200)
• 20 × 180 = (20, 180)
• 24 × 150 = (24, 150)
• 25 × 144 = (25, 144)
• 30 × 120 = (30, 120)
• 36 × 100 = (36, 100)
• 40 × 90 = (40, 90)
• 45 × 80 = (45, 80)
• 48 × 75 = (48, 75)
• 50 × 72 = (50, 72)
• 60 × 60 = (60, 60)

Negative pair factors of 3600 are:

• -1 × -3600 = (-1, -3600)
• -2 × -1800 = (-2, -1800)
• -3 × -1200 = (-3, -1200)
• -4 × -900 = (-4, -900)
• -5 × -720 = (-5, -720)
• -6 × -600 = (-6, -600)
• -8 × -450 = (-8, -450)
• -9 × -400 = (-9, -400)
• -10 × -360 = (-10, -360)
• -12 × -300 = (-12, -300)
• -15 × -240 = (-15, -240)
• -16 × -225 = (-16, -225)
• -18 × -200 = (-18, -200)
• -20 × -180 = (-20, -180)
• -24 × -150 = (-24, -150)
• -25 × -144 = (-25, -144)
• -30 × -120 = (-30, -120)
• -36 × -100 = (-36, -100)
• -40 × -90 = (-40, -90)
• -45 × -80 = (-45, -80)
• -48 × -75 = (-48, -75)
• -50 × -72 = (-50, -72)
• -60 × -60 = (-60, -60)

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