Factors of 2100 are the list of integers that we can split evenly into 2100. There are total 36 factors of 2100, of which 2, 3, 5, 7 are its prime factors. The Prime Factorization of 2100 is 2² × 3¹ × 5² × 7¹.

• All Factors of 2100: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050 and 2100
• Prime Factors of 2100: 2, 3, 5, 7
• Prime Factorization of 2100: 2² × 3¹ × 5² × 7¹
• Sum of Factors of 2100: 6944

1.	What Are the Factors of 2100?
2.	Factors of 2100 by Prime Factorization
3.	Factors of 2100 in Pairs
4.	FAQs on Factors of 2100

Factors of 2100 are pairs of those numbers whose products result in 2100. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2100?

To find the factors of 2100, we will have to find the list of numbers that would divide 2100 without leaving any remainder.

• 2100/1 = 2100; therefore, 1 is a factor of 2100.
• 2100/140 = 15; therefore, 140 is a factor of 2100.

Similarly we can find other factors. Hence, the factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100.

☛ Also Check:

• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 39 - The factors of 39 are 1, 3, 13, 39

The number 2100 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2100. The first step is to divide the number 2100 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2100 ÷ 2 = 1050
• 1050 ÷ 2 = 525

Further dividing 525 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 525 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 2100 can be written as 2² × 3¹ × 5² × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 2100 are the pairs of numbers that when multiplied give the product 2100. The factors of 2100 in pairs are:

• 1 × 2100 = (1, 2100)
• 2 × 1050 = (2, 1050)
• 3 × 700 = (3, 700)
• 4 × 525 = (4, 525)
• 5 × 420 = (5, 420)
• 6 × 350 = (6, 350)
• 7 × 300 = (7, 300)
• 10 × 210 = (10, 210)
• 12 × 175 = (12, 175)
• 14 × 150 = (14, 150)
• 15 × 140 = (15, 140)
• 20 × 105 = (20, 105)
• 21 × 100 = (21, 100)
• 25 × 84 = (25, 84)
• 28 × 75 = (28, 75)
• 30 × 70 = (30, 70)
• 35 × 60 = (35, 60)
• 42 × 50 = (42, 50)

Negative pair factors of 2100 are:

• -1 × -2100 = (-1, -2100)
• -2 × -1050 = (-2, -1050)
• -3 × -700 = (-3, -700)
• -4 × -525 = (-4, -525)
• -5 × -420 = (-5, -420)
• -6 × -350 = (-6, -350)
• -7 × -300 = (-7, -300)
• -10 × -210 = (-10, -210)
• -12 × -175 = (-12, -175)
• -14 × -150 = (-14, -150)
• -15 × -140 = (-15, -140)
• -20 × -105 = (-20, -105)
• -21 × -100 = (-21, -100)
• -25 × -84 = (-25, -84)
• -28 × -75 = (-28, -75)
• -30 × -70 = (-30, -70)
• -35 × -60 = (-35, -60)
• -42 × -50 = (-42, -50)

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