Factors of 465 are the list of integers that we can split evenly into 465. There are total 8 factors of 465 i.e. 1, 3, 5, 15, 31, 93, 155, 465. The Pair Factors of 465 are (1, 465), (3, 155), (5, 93), (15, 31) and its Prime Factors are 3 × 5 × 31.

• All Factors of 465: 1, 3, 5, 15, 31, 93, 155 and 465
• Negative Factors of 465: -1, -3, -5, -15, -31, -93, -155 and -465
• Prime Factors of 465: 3, 5, 31
• Prime Factorization of 465: 3¹ × 5¹ × 31¹
• Sum of Factors of 465: 768

1.	What Are the Factors of 465?
2.	Factors of 465 by Prime Factorization
3.	Factors of 465 in Pairs
4.	FAQs on Factors of 465

Factors of 465 are pairs of those numbers whose products result in 465. These factors are either prime numbers or composite numbers.

How to Find the Factors of 465?

To find the factors of 465, we will have to find the list of numbers that would divide 465 without leaving any remainder.

• 465/1 = 465; therefore, 1 is a factor of 465.
• 465/5 = 93; therefore, 5 is a factor of 465.

Similarly we can find other factors. Hence, the factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465.

☛ Also Check:

• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The number 465 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 465. The first step is to divide the number 465 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 465 ÷ 3 = 155

Further dividing 155 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 155 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 465 can be written as 3¹ × 5¹ × 31¹ where 3, 5, 31 are prime.

Pair factors of 465 are the pairs of numbers that when multiplied give the product 465. The factors of 465 in pairs are:

• 1 × 465 = (1, 465)
• 3 × 155 = (3, 155)
• 5 × 93 = (5, 93)
• 15 × 31 = (15, 31)

Negative pair factors of 465 are:

• -1 × -465 = (-1, -465)
• -3 × -155 = (-3, -155)
• -5 × -93 = (-5, -93)
• -15 × -31 = (-15, -31)

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