Factors of 1800 are the list of integers that can be evenly divided into 1800. It has total 36 factors of which 1800 is the biggest factor and the prime factors of 1800 are 2, 3, 5. The sum of all factors of 1800 is 6045.

• All Factors of 1800: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900 and 1800
• Prime Factors of 1800: 2, 3, 5
• Prime Factorization of 1800: 2³ × 3² × 5²
• Sum of Factors of 1800: 6045

1.	What Are the Factors of 1800?
2.	Factors of 1800 by Prime Factorization
3.	Factors of 1800 in Pairs
4.	FAQs on Factors of 1800

Factors of 1800 are pairs of those numbers whose products result in 1800. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1800?

To find the factors of 1800, we will have to find the list of numbers that would divide 1800 without leaving any remainder.

• 1800/90 = 20; therefore, 90 is a factor of 1800 and 20 is also a factor of 1800.
• 1800/8 = 225; therefore, 8 is a factor of 1800 and 225 is also a factor of 1800.

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

☛ Also Check:

• Factors of 13 - The factors of 13 are 1, 13
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The number 1800 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1800. The first step is to divide the number 1800 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 1800 can be written as 2³ × 3² × 5² where 2, 3, 5 are prime.

Pair factors of 1800 are the pairs of numbers that when multiplied give the product 1800. The factors of 1800 in pairs are:

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

Negative pair factors of 1800 are:

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

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