Factors of 405 are integers that can be divided evenly into 405. There are overall 10 factors of 405 among which 405 is the biggest factor and its prime factors are 3, 5. The Prime Factorization of 405 is 3⁴ × 5¹.

• All Factors of 405: 1, 3, 5, 9, 15, 27, 45, 81, 135 and 405
• Negative Factors of 405: -1, -3, -5, -9, -15, -27, -45, -81, -135 and -405
• Prime Factors of 405: 3, 5
• Prime Factorization of 405: 3⁴ × 5¹
• Sum of Factors of 405: 726

1.	What Are the Factors of 405?
2.	Factors of 405 by Prime Factorization
3.	Factors of 405 in Pairs
4.	FAQs on Factors of 405

Factors of 405 are pairs of those numbers whose products result in 405. These factors are either prime numbers or composite numbers.

How to Find the Factors of 405?

To find the factors of 405, we will have to find the list of numbers that would divide 405 without leaving any remainder.

• 405/5 = 81; therefore, 5 is a factor of 405 and 81 is also a factor of 405.
• 405/27 = 15; therefore, 27 is a factor of 405 and 15 is also a factor of 405.

Similarly we can find other factors. Hence, the factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.

☛ Also Check:

• Factors of 23 - The factors of 23 are 1, 23
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 13 - The factors of 13 are 1, 13

The number 405 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 405. The first step is to divide the number 405 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 405 ÷ 3 = 135
• 135 ÷ 3 = 45
• 45 ÷ 3 = 15
• 15 ÷ 3 = 5

Further dividing 5 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 5 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 405 can be written as 3⁴ × 5¹ where 3, 5 are prime.

Pair factors of 405 are the pairs of numbers that when multiplied give the product 405. The factors of 405 in pairs are:

• 1 × 405 = (1, 405)
• 3 × 135 = (3, 135)
• 5 × 81 = (5, 81)
• 9 × 45 = (9, 45)
• 15 × 27 = (15, 27)

Negative pair factors of 405 are:

• -1 × -405 = (-1, -405)
• -3 × -135 = (-3, -135)
• -5 × -81 = (-5, -81)
• -9 × -45 = (-9, -45)
• -15 × -27 = (-15, -27)

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