Factors of 1575 are the list of integers that can be evenly divided into 1575. There are overall 18 factors of 1575, of which 3, 5, 7 are its prime factors. The sum of all factors of 1575 is 3224.

• All Factors of 1575: 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525 and 1575
• Prime Factors of 1575: 3, 5, 7
• Prime Factorization of 1575: 3² × 5² × 7¹
• Sum of Factors of 1575: 3224

1.	What Are the Factors of 1575?
2.	Factors of 1575 by Prime Factorization
3.	Factors of 1575 in Pairs
4.	FAQs on Factors of 1575

Factors of 1575 are pairs of those numbers whose products result in 1575. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1575?

To find the factors of 1575, we will have to find the list of numbers that would divide 1575 without leaving any remainder.

• 1575/1 = 1575; therefore, 1 is a factor of 1575.
• 1575/3 = 525; therefore, 3 is a factor of 1575.

Similarly we can find other factors. Hence, the factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

The number 1575 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1575. The first step is to divide the number 1575 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 1575 ÷ 3 = 525
• 525 ÷ 3 = 175

Further dividing 175 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 175 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 1575 can be written as 3² × 5² × 7¹ where 3, 5, 7 are prime.

Pair factors of 1575 are the pairs of numbers that when multiplied give the product 1575. The factors of 1575 in pairs are:

• 1 × 1575 = (1, 1575)
• 3 × 525 = (3, 525)
• 5 × 315 = (5, 315)
• 7 × 225 = (7, 225)
• 9 × 175 = (9, 175)
• 15 × 105 = (15, 105)
• 21 × 75 = (21, 75)
• 25 × 63 = (25, 63)
• 35 × 45 = (35, 45)

Negative pair factors of 1575 are:

• -1 × -1575 = (-1, -1575)
• -3 × -525 = (-3, -525)
• -5 × -315 = (-5, -315)
• -7 × -225 = (-7, -225)
• -9 × -175 = (-9, -175)
• -15 × -105 = (-15, -105)
• -21 × -75 = (-21, -75)
• -25 × -63 = (-25, -63)
• -35 × -45 = (-35, -45)

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