Factors of 1680 are the list of integers that we can split evenly into 1680. There are 40 factors of 1680, of which the following are its prime factors 2, 3, 5, 7. The sum of all factors of 1680 is 5952.

• All Factors of 1680: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840 and 1680
• Prime Factors of 1680: 2, 3, 5, 7
• Prime Factorization of 1680: 2⁴ × 3¹ × 5¹ × 7¹
• Sum of Factors of 1680: 5952

1.	What Are the Factors of 1680?
2.	Factors of 1680 by Prime Factorization
3.	Factors of 1680 in Pairs
4.	FAQs on Factors of 1680

Factors of 1680 are pairs of those numbers whose products result in 1680. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1680?

To find the factors of 1680, we will have to find the list of numbers that would divide 1680 without leaving any remainder.

• 1680/28 = 60; therefore, 28 is a factor of 1680 and 60 is also a factor of 1680.
• 1680/20 = 84; therefore, 20 is a factor of 1680 and 84 is also a factor of 1680.

Similarly we can find other factors. Hence, the factors of 1680 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.

☛ Also Check:

• Factors of 31 - The factors of 31 are 1, 31
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 125 - The factors of 125 are 1, 5, 25, 125

The number 1680 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1680. The first step is to divide the number 1680 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1680 ÷ 2 = 840
• 840 ÷ 2 = 420
• 420 ÷ 2 = 210
• 210 ÷ 2 = 105

Further dividing 105 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 105 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 1680 can be written as 2⁴ × 3¹ × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 1680 are the pairs of numbers that when multiplied give the product 1680. The factors of 1680 in pairs are:

• 1 × 1680 = (1, 1680)
• 2 × 840 = (2, 840)
• 3 × 560 = (3, 560)
• 4 × 420 = (4, 420)
• 5 × 336 = (5, 336)
• 6 × 280 = (6, 280)
• 7 × 240 = (7, 240)
• 8 × 210 = (8, 210)
• 10 × 168 = (10, 168)
• 12 × 140 = (12, 140)
• 14 × 120 = (14, 120)
• 15 × 112 = (15, 112)
• 16 × 105 = (16, 105)
• 20 × 84 = (20, 84)
• 21 × 80 = (21, 80)
• 24 × 70 = (24, 70)
• 28 × 60 = (28, 60)
• 30 × 56 = (30, 56)
• 35 × 48 = (35, 48)
• 40 × 42 = (40, 42)

Negative pair factors of 1680 are:

• -1 × -1680 = (-1, -1680)
• -2 × -840 = (-2, -840)
• -3 × -560 = (-3, -560)
• -4 × -420 = (-4, -420)
• -5 × -336 = (-5, -336)
• -6 × -280 = (-6, -280)
• -7 × -240 = (-7, -240)
• -8 × -210 = (-8, -210)
• -10 × -168 = (-10, -168)
• -12 × -140 = (-12, -140)
• -14 × -120 = (-14, -120)
• -15 × -112 = (-15, -112)
• -16 × -105 = (-16, -105)
• -20 × -84 = (-20, -84)
• -21 × -80 = (-21, -80)
• -24 × -70 = (-24, -70)
• -28 × -60 = (-28, -60)
• -30 × -56 = (-30, -56)
• -35 × -48 = (-35, -48)
• -40 × -42 = (-40, -42)

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