Factors of 945 are the list of integers that we can split evenly into 945. There are overall 16 factors of 945, of which 3, 5, 7 are its prime factors. The sum of all factors of 945 is 1920.

• All Factors of 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315 and 945
• Prime Factors of 945: 3, 5, 7
• Prime Factorization of 945: 3³ × 5¹ × 7¹
• Sum of Factors of 945: 1920

1.	What Are the Factors of 945?
2.	Factors of 945 by Prime Factorization
3.	Factors of 945 in Pairs
4.	FAQs on Factors of 945

Factors of 945 are pairs of those numbers whose products result in 945. These factors are either prime numbers or composite numbers.

How to Find the Factors of 945?

To find the factors of 945, we will have to find the list of numbers that would divide 945 without leaving any remainder.

• 945/63 = 15; therefore, 63 is a factor of 945 and 15 is also a factor of 945.
• 945/315 = 3; therefore, 315 is a factor of 945 and 3 is also a factor of 945.

Similarly we can find other factors. Hence, the factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.

☛ Also Check:

• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• 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 17 - The factors of 17 are 1, 17

The number 945 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 945. The first step is to divide the number 945 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 945 ÷ 3 = 315
• 315 ÷ 3 = 105
• 105 ÷ 3 = 35

Further dividing 35 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 35 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 945 can be written as 3³ × 5¹ × 7¹ where 3, 5, 7 are prime.

Pair factors of 945 are the pairs of numbers that when multiplied give the product 945. The factors of 945 in pairs are:

• 1 × 945 = (1, 945)
• 3 × 315 = (3, 315)
• 5 × 189 = (5, 189)
• 7 × 135 = (7, 135)
• 9 × 105 = (9, 105)
• 15 × 63 = (15, 63)
• 21 × 45 = (21, 45)
• 27 × 35 = (27, 35)

Negative pair factors of 945 are:

• -1 × -945 = (-1, -945)
• -3 × -315 = (-3, -315)
• -5 × -189 = (-5, -189)
• -7 × -135 = (-7, -135)
• -9 × -105 = (-9, -105)
• -15 × -63 = (-15, -63)
• -21 × -45 = (-21, -45)
• -27 × -35 = (-27, -35)

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