Factors of 1845 are the list of integers that can be evenly divided into 1845. It has total 12 factors of which 1845 is the biggest factor and the prime factors of 1845 are 3, 5, 41. The Prime Factorization of 1845 is 3² × 5¹ × 41¹.

• All Factors of 1845: 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615 and 1845
• Prime Factors of 1845: 3, 5, 41
• Prime Factorization of 1845: 3² × 5¹ × 41¹
• Sum of Factors of 1845: 3276

1.	What Are the Factors of 1845?
2.	Factors of 1845 by Prime Factorization
3.	Factors of 1845 in Pairs
4.	FAQs on Factors of 1845

Factors of 1845 are pairs of those numbers whose products result in 1845. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1845?

To find the factors of 1845, we will have to find the list of numbers that would divide 1845 without leaving any remainder.

• 1845/15 = 123; therefore, 15 is a factor of 1845 and 123 is also a factor of 1845.
• 1845/369 = 5; therefore, 369 is a factor of 1845 and 5 is also a factor of 1845.

Similarly we can find other factors. Hence, the factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845.

☛ Also Check:

• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 51 - The factors of 51 are 1, 3, 17, 51

The number 1845 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1845. The first step is to divide the number 1845 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 1845 ÷ 3 = 615
• 615 ÷ 3 = 205

Further dividing 205 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 205 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 1845 can be written as 3² × 5¹ × 41¹ where 3, 5, 41 are prime.

Pair factors of 1845 are the pairs of numbers that when multiplied give the product 1845. The factors of 1845 in pairs are:

• 1 × 1845 = (1, 1845)
• 3 × 615 = (3, 615)
• 5 × 369 = (5, 369)
• 9 × 205 = (9, 205)
• 15 × 123 = (15, 123)
• 41 × 45 = (41, 45)

Negative pair factors of 1845 are:

• -1 × -1845 = (-1, -1845)
• -3 × -615 = (-3, -615)
• -5 × -369 = (-5, -369)
• -9 × -205 = (-9, -205)
• -15 × -123 = (-15, -123)
• -41 × -45 = (-41, -45)

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