Factors of 3780 are numbers that, when multiplied in pairs give the product as 3780. It has total 48 factors of which 3780 is the biggest factor and the prime factors of 3780 are 2, 3, 5, 7. The sum of all factors of 3780 is 13440.

• All Factors of 3780: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890 and 3780
• Prime Factors of 3780: 2, 3, 5, 7
• Prime Factorization of 3780: 2² × 3³ × 5¹ × 7¹
• Sum of Factors of 3780: 13440

1.	What Are the Factors of 3780?
2.	Factors of 3780 by Prime Factorization
3.	Factors of 3780 in Pairs
4.	FAQs on Factors of 3780

Factors of 3780 are pairs of those numbers whose products result in 3780. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3780?

To find the factors of 3780, we will have to find the list of numbers that would divide 3780 without leaving any remainder.

• 3780/2 = 1890; therefore, 2 is a factor of 3780 and 1890 is also a factor of 3780.
• 3780/35 = 108; therefore, 35 is a factor of 3780 and 108 is also a factor of 3780.

Similarly we can find other factors. Hence, the factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780.

☛ Also Check:

• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32

The number 3780 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3780. The first step is to divide the number 3780 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 3780 ÷ 2 = 1890
• 1890 ÷ 2 = 945

Further dividing 945 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 945 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 3780 can be written as 2² × 3³ × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 3780 are the pairs of numbers that when multiplied give the product 3780. The factors of 3780 in pairs are:

• 1 × 3780 = (1, 3780)
• 2 × 1890 = (2, 1890)
• 3 × 1260 = (3, 1260)
• 4 × 945 = (4, 945)
• 5 × 756 = (5, 756)
• 6 × 630 = (6, 630)
• 7 × 540 = (7, 540)
• 9 × 420 = (9, 420)
• 10 × 378 = (10, 378)
• 12 × 315 = (12, 315)
• 14 × 270 = (14, 270)
• 15 × 252 = (15, 252)
• 18 × 210 = (18, 210)
• 20 × 189 = (20, 189)
• 21 × 180 = (21, 180)
• 27 × 140 = (27, 140)
• 28 × 135 = (28, 135)
• 30 × 126 = (30, 126)
• 35 × 108 = (35, 108)
• 36 × 105 = (36, 105)
• 42 × 90 = (42, 90)
• 45 × 84 = (45, 84)
• 54 × 70 = (54, 70)
• 60 × 63 = (60, 63)

Negative pair factors of 3780 are:

• -1 × -3780 = (-1, -3780)
• -2 × -1890 = (-2, -1890)
• -3 × -1260 = (-3, -1260)
• -4 × -945 = (-4, -945)
• -5 × -756 = (-5, -756)
• -6 × -630 = (-6, -630)
• -7 × -540 = (-7, -540)
• -9 × -420 = (-9, -420)
• -10 × -378 = (-10, -378)
• -12 × -315 = (-12, -315)
• -14 × -270 = (-14, -270)
• -15 × -252 = (-15, -252)
• -18 × -210 = (-18, -210)
• -20 × -189 = (-20, -189)
• -21 × -180 = (-21, -180)
• -27 × -140 = (-27, -140)
• -28 × -135 = (-28, -135)
• -30 × -126 = (-30, -126)
• -35 × -108 = (-35, -108)
• -36 × -105 = (-36, -105)
• -42 × -90 = (-42, -90)
• -45 × -84 = (-45, -84)
• -54 × -70 = (-54, -70)
• -60 × -63 = (-60, -63)

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