Factors of 1260
Factors of 1260 are integers that can be divided evenly into 1260. It has total 36 factors of which 1260 is the biggest factor and the prime factors of 1260 are 2, 3, 5, 7. The sum of all factors of 1260 is 4368.
 All Factors of 1260: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630 and 1260
 Prime Factors of 1260: 2, 3, 5, 7
 Prime Factorization of 1260: 2^{2} × 3^{2} × 5^{1} × 7^{1}
 Sum of Factors of 1260: 4368
1.  What Are the Factors of 1260? 
2.  Factors of 1260 by Prime Factorization 
3.  Factors of 1260 in Pairs 
4.  FAQs on Factors of 1260 
What are Factors of 1260?
Factors of 1260 are pairs of those numbers whose products result in 1260. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1260?
To find the factors of 1260, we will have to find the list of numbers that would divide 1260 without leaving any remainder.
 1260/9 = 140; therefore, 9 is a factor of 1260 and 140 is also a factor of 1260.
 1260/210 = 6; therefore, 210 is a factor of 1260 and 6 is also a factor of 1260.
☛ Also Check:
 Factors of 56  The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
 Factors of 5  The factors of 5 are 1, 5
 Factors of 36  The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
 Factors of 24  The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
 Factors of 70  The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
Factors of 1260 by Prime Factorization
 1260 ÷ 2 = 630
 630 ÷ 2 = 315
Further dividing 315 by 2 gives a nonzero remainder. So we stop the process and continue dividing the number 315 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 1260 can be written as 2^{2} × 3^{2} × 5^{1} × 7^{1} where 2, 3, 5, 7 are prime.
Factors of 1260 in Pairs
Pair factors of 1260 are the pairs of numbers that when multiplied give the product 1260. The factors of 1260 in pairs are:
 1 × 1260 = (1, 1260)
 2 × 630 = (2, 630)
 3 × 420 = (3, 420)
 4 × 315 = (4, 315)
 5 × 252 = (5, 252)
 6 × 210 = (6, 210)
 7 × 180 = (7, 180)
 9 × 140 = (9, 140)
 10 × 126 = (10, 126)
 12 × 105 = (12, 105)
 14 × 90 = (14, 90)
 15 × 84 = (15, 84)
 18 × 70 = (18, 70)
 20 × 63 = (20, 63)
 21 × 60 = (21, 60)
 28 × 45 = (28, 45)
 30 × 42 = (30, 42)
 35 × 36 = (35, 36)
Negative pair factors of 1260 are:
 1 × 1260 = (1, 1260)
 2 × 630 = (2, 630)
 3 × 420 = (3, 420)
 4 × 315 = (4, 315)
 5 × 252 = (5, 252)
 6 × 210 = (6, 210)
 7 × 180 = (7, 180)
 9 × 140 = (9, 140)
 10 × 126 = (10, 126)
 12 × 105 = (12, 105)
 14 × 90 = (14, 90)
 15 × 84 = (15, 84)
 18 × 70 = (18, 70)
 20 × 63 = (20, 63)
 21 × 60 = (21, 60)
 28 × 45 = (28, 45)
 30 × 42 = (30, 42)
 35 × 36 = (35, 36)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1260 Solved Examples

Example 1: How many factors are there for 1260?
Solution:
The factors of 1260 are too many, therefore if we can find the prime factorization of 1260, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^{x} × b^{y} × c^{z} where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 1260 = 2^{2} × 3^{2} × 5^{1} × 7^{1}
Therefore, the total number of factors are (2 + 1) × (2 + 1) × (1 + 1) × (1 + 1) = 3 × 3 × 2 × 2 = 36 
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 1260 and 102.
Solution:
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260 and factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102.
Therefore, the Lowest Common Multiple (LCM) of 1260 and 102 is 21420 and Greatest Common Factor (GCF) of 1260 and 102 is 6. 
Example 3: Find if 5, 10, 14, 21, 105, 210, 420 and 1018 are factors of 1260.
Solution:
When we divide 1260 by 1018 it leaves a remainder. Therefore, the number 1018 is not a factor of 1260. All numbers except 1018 are factors of 1260.

Example 4: Find the product of all the prime factors of 1260.
Solution:
Since, the prime factors of 1260 are 2, 3, 5, 7. Therefore, the product of prime factors = 2 × 3 × 5 × 7 = 210.
FAQs on Factors of 1260
What are the Factors of 1260?
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260 and its negative factors are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260.
What is the Sum of all Factors of 1260?
Sum of all factors of 1260 = (2^{2 + 1}  1)/(2  1) × (3^{2 + 1}  1)/(3  1) × (5^{1 + 1}  1)/(5  1) × (7^{1 + 1}  1)/(7  1) = 4368
What numbers are the Pair Factors of 1260?
The pair factors of 1260 are (1, 1260), (2, 630), (3, 420), (4, 315), (5, 252), (6, 210), (7, 180), (9, 140), (10, 126), (12, 105), (14, 90), (15, 84), (18, 70), (20, 63), (21, 60), (28, 45), (30, 42), (35, 36).
What is the Greatest Common Factor of 1260 and 968?
The factors of 1260 and 968 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260 and 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968 respectively.
Common factors of 1260 and 968 are [1, 2, 4].
Hence, the Greatest Common Factor (GCF) of 1260 and 968 is 4.
How Many Factors of 1189 are also common to the Factors of 1260?
Since, the factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260 and factors of 1189 are 1, 29, 41, 1189. Hence, 1260 and 1189 have only one common factor which is 1. Therefore, 1260 and 1189 are coprime.