Factors of 459 are integers that can be divided evenly into 459. There are 8 factors of 459 of which 459 itself is the biggest factor and its positive factors are 1, 3, 9, 17, 27, 51, 153, 459. The Pair Factors of 459 are (1, 459), (3, 153), (9, 51), (17, 27) and its Prime Factors are 3 × 17.

• All Factors of 459: 1, 3, 9, 17, 27, 51, 153 and 459
• Negative Factors of 459: -1, -3, -9, -17, -27, -51, -153 and -459
• Prime Factors of 459: 3, 17
• Prime Factorization of 459: 3³ × 17¹
• Sum of Factors of 459: 720

1.	What Are the Factors of 459?
2.	Factors of 459 by Prime Factorization
3.	Factors of 459 in Pairs
4.	FAQs on Factors of 459

Factors of 459 are pairs of those numbers whose products result in 459. These factors are either prime numbers or composite numbers.

How to Find the Factors of 459?

To find the factors of 459, we will have to find the list of numbers that would divide 459 without leaving any remainder.

• 459/153 = 3; therefore, 153 is a factor of 459 and 3 is also a factor of 459.
• 459/27 = 17; therefore, 27 is a factor of 459 and 17 is also a factor of 459.

Similarly we can find other factors. Hence, the factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459.

☛ Also Check:

• Factors of 17 - The factors of 17 are 1, 17
• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 459 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 459. The first step is to divide the number 459 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 459 ÷ 3 = 153
• 153 ÷ 3 = 51
• 51 ÷ 3 = 17

Further dividing 17 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 17 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 459 can be written as 3³ × 17¹ where 3, 17 are prime.

Pair factors of 459 are the pairs of numbers that when multiplied give the product 459. The factors of 459 in pairs are:

• 1 × 459 = (1, 459)
• 3 × 153 = (3, 153)
• 9 × 51 = (9, 51)
• 17 × 27 = (17, 27)

Negative pair factors of 459 are:

• -1 × -459 = (-1, -459)
• -3 × -153 = (-3, -153)
• -9 × -51 = (-9, -51)
• -17 × -27 = (-17, -27)

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