Factors of 675 are the list of integers that can be evenly divided into 675. There are overall 12 factors of 675 among which 675 is the biggest factor and its prime factors are 3, 5. The Prime Factorization of 675 is 3³ × 5².

• All Factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225 and 675
• Prime Factors of 675: 3, 5
• Prime Factorization of 675: 3³ × 5²
• Sum of Factors of 675: 1240

1.	What Are the Factors of 675?
2.	Factors of 675 by Prime Factorization
3.	Factors of 675 in Pairs
4.	FAQs on Factors of 675

Factors of 675 are pairs of those numbers whose products result in 675. These factors are either prime numbers or composite numbers.

How to Find the Factors of 675?

To find the factors of 675, we will have to find the list of numbers that would divide 675 without leaving any remainder.

• 675/225 = 3; therefore, 225 is a factor of 675 and 3 is also a factor of 675.
• 675/5 = 135; therefore, 5 is a factor of 675 and 135 is also a factor of 675.

Similarly we can find other factors. Hence, the factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675.

☛ Also Check:

• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The number 675 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 675. The first step is to divide the number 675 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 675 ÷ 3 = 225
• 225 ÷ 3 = 75
• 75 ÷ 3 = 25

Further dividing 25 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 25 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 675 can be written as 3³ × 5² where 3, 5 are prime.

Pair factors of 675 are the pairs of numbers that when multiplied give the product 675. The factors of 675 in pairs are:

• 1 × 675 = (1, 675)
• 3 × 225 = (3, 225)
• 5 × 135 = (5, 135)
• 9 × 75 = (9, 75)
• 15 × 45 = (15, 45)
• 25 × 27 = (25, 27)

Negative pair factors of 675 are:

• -1 × -675 = (-1, -675)
• -3 × -225 = (-3, -225)
• -5 × -135 = (-5, -135)
• -9 × -75 = (-9, -75)
• -15 × -45 = (-15, -45)
• -25 × -27 = (-25, -27)

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