Factors of 3465 are numbers that, when multiplied in pairs give the product as 3465. There are overall 24 factors of 3465, of which 3, 5, 7, 11 are its prime factors. The sum of all factors of 3465 is 7488.

• All Factors of 3465: 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155 and 3465
• Prime Factors of 3465: 3, 5, 7, 11
• Prime Factorization of 3465: 3² × 5¹ × 7¹ × 11¹
• Sum of Factors of 3465: 7488

1.	What Are the Factors of 3465?
2.	Factors of 3465 by Prime Factorization
3.	Factors of 3465 in Pairs
4.	FAQs on Factors of 3465

Factors of 3465 are pairs of those numbers whose products result in 3465. These factors are either prime numbers or composite numbers.

How to Find the Factors of 3465?

To find the factors of 3465, we will have to find the list of numbers that would divide 3465 without leaving any remainder.

• 3465/385 = 9; therefore, 385 is a factor of 3465 and 9 is also a factor of 3465.
• 3465/105 = 33; therefore, 105 is a factor of 3465 and 33 is also a factor of 3465.

Similarly we can find other factors. Hence, the factors of 3465 are 1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155, 3465.

☛ Also Check:

• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81

The number 3465 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 3465. The first step is to divide the number 3465 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 3465 ÷ 3 = 1155
• 1155 ÷ 3 = 385

Further dividing 385 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 385 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 3465 can be written as 3² × 5¹ × 7¹ × 11¹ where 3, 5, 7, 11 are prime.

Pair factors of 3465 are the pairs of numbers that when multiplied give the product 3465. The factors of 3465 in pairs are:

• 1 × 3465 = (1, 3465)
• 3 × 1155 = (3, 1155)
• 5 × 693 = (5, 693)
• 7 × 495 = (7, 495)
• 9 × 385 = (9, 385)
• 11 × 315 = (11, 315)
• 15 × 231 = (15, 231)
• 21 × 165 = (21, 165)
• 33 × 105 = (33, 105)
• 35 × 99 = (35, 99)
• 45 × 77 = (45, 77)
• 55 × 63 = (55, 63)

Negative pair factors of 3465 are:

• -1 × -3465 = (-1, -3465)
• -3 × -1155 = (-3, -1155)
• -5 × -693 = (-5, -693)
• -7 × -495 = (-7, -495)
• -9 × -385 = (-9, -385)
• -11 × -315 = (-11, -315)
• -15 × -231 = (-15, -231)
• -21 × -165 = (-21, -165)
• -33 × -105 = (-33, -105)
• -35 × -99 = (-35, -99)
• -45 × -77 = (-45, -77)
• -55 × -63 = (-55, -63)

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