Factors of 1890 are numbers that, when multiplied in pairs give the product as 1890. It has total 32 factors of which 1890 is the biggest factor and the prime factors of 1890 are 2, 3, 5, 7. The sum of all factors of 1890 is 5760.

• All Factors of 1890: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945 and 1890
• Prime Factors of 1890: 2, 3, 5, 7
• Prime Factorization of 1890: 2¹ × 3³ × 5¹ × 7¹
• Sum of Factors of 1890: 5760

1.	What Are the Factors of 1890?
2.	Factors of 1890 by Prime Factorization
3.	Factors of 1890 in Pairs
4.	FAQs on Factors of 1890

Factors of 1890 are pairs of those numbers whose products result in 1890. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1890?

To find the factors of 1890, we will have to find the list of numbers that would divide 1890 without leaving any remainder.

• 1890/9 = 210; therefore, 9 is a factor of 1890 and 210 is also a factor of 1890.
• 1890/15 = 126; therefore, 15 is a factor of 1890 and 126 is also a factor of 1890.

Similarly we can find other factors. Hence, the factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.

☛ Also Check:

• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 21 - The factors of 21 are 1, 3, 7, 21

The number 1890 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1890. The first step is to divide the number 1890 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 1890 can be written as 2¹ × 3³ × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 1890 are the pairs of numbers that when multiplied give the product 1890. The factors of 1890 in pairs are:

• 1 × 1890 = (1, 1890)
• 2 × 945 = (2, 945)
• 3 × 630 = (3, 630)
• 5 × 378 = (5, 378)
• 6 × 315 = (6, 315)
• 7 × 270 = (7, 270)
• 9 × 210 = (9, 210)
• 10 × 189 = (10, 189)
• 14 × 135 = (14, 135)
• 15 × 126 = (15, 126)
• 18 × 105 = (18, 105)
• 21 × 90 = (21, 90)
• 27 × 70 = (27, 70)
• 30 × 63 = (30, 63)
• 35 × 54 = (35, 54)
• 42 × 45 = (42, 45)

Negative pair factors of 1890 are:

• -1 × -1890 = (-1, -1890)
• -2 × -945 = (-2, -945)
• -3 × -630 = (-3, -630)
• -5 × -378 = (-5, -378)
• -6 × -315 = (-6, -315)
• -7 × -270 = (-7, -270)
• -9 × -210 = (-9, -210)
• -10 × -189 = (-10, -189)
• -14 × -135 = (-14, -135)
• -15 × -126 = (-15, -126)
• -18 × -105 = (-18, -105)
• -21 × -90 = (-21, -90)
• -27 × -70 = (-27, -70)
• -30 × -63 = (-30, -63)
• -35 × -54 = (-35, -54)
• -42 × -45 = (-42, -45)

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