Factors of 1290
Factors of 1290 are the list of integers that we can split evenly into 1290. It has total 16 factors of which 1290 is the biggest factor and the prime factors of 1290 are 2, 3, 5, 43. The Prime Factorization of 1290 is 21 × 31 × 51 × 431.
- All Factors of 1290: 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645 and 1290
- Prime Factors of 1290: 2, 3, 5, 43
- Prime Factorization of 1290: 21 × 31 × 51 × 431
- Sum of Factors of 1290: 3168
1. | What Are the Factors of 1290? |
2. | Factors of 1290 by Prime Factorization |
3. | Factors of 1290 in Pairs |
4. | FAQs on Factors of 1290 |

What are Factors of 1290?
Factors of 1290 are pairs of those numbers whose products result in 1290. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1290?
To find the factors of 1290, we will have to find the list of numbers that would divide 1290 without leaving any remainder.
- 1290/3 = 430; therefore, 3 is a factor of 1290 and 430 is also a factor of 1290.
- 1290/15 = 86; therefore, 15 is a factor of 1290 and 86 is also a factor of 1290.
☛ Also Check:
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
Factors of 1290 by Prime Factorization
- 1290 ÷ 2 = 645
Further dividing 645 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 645 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 1290 can be written as 21 × 31 × 51 × 431 where 2, 3, 5, 43 are prime.
Factors of 1290 in Pairs
Pair factors of 1290 are the pairs of numbers that when multiplied give the product 1290. The factors of 1290 in pairs are:
- 1 × 1290 = (1, 1290)
- 2 × 645 = (2, 645)
- 3 × 430 = (3, 430)
- 5 × 258 = (5, 258)
- 6 × 215 = (6, 215)
- 10 × 129 = (10, 129)
- 15 × 86 = (15, 86)
- 30 × 43 = (30, 43)
Negative pair factors of 1290 are:
- -1 × -1290 = (-1, -1290)
- -2 × -645 = (-2, -645)
- -3 × -430 = (-3, -430)
- -5 × -258 = (-5, -258)
- -6 × -215 = (-6, -215)
- -10 × -129 = (-10, -129)
- -15 × -86 = (-15, -86)
- -30 × -43 = (-30, -43)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1290 Solved Examples
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Example 1: How many factors are there for 1290?
Solution:
The factors of 1290 are too many, therefore if we can find the prime factorization of 1290, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz 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 1290 = 21 × 31 × 51 × 431
Therefore, the total number of factors are (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 × 2 = 16 -
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1290 and 930.
Solution:
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290 and factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930.
Therefore, the Least Common Multiple (LCM) of 1290 and 930 is 39990 and Greatest Common Divisor (GCD) of 1290 and 930 is 30. -
Example 3: Find if 1, 5, 6, 43, 86, 258, 388 and 1290 are factors of 1290.
Solution:
When we divide 1290 by 388 it leaves a remainder. Therefore, the number 388 is not a factor of 1290. All numbers except 388 are factors of 1290.
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Example 4: Find the product of all the prime factors of 1290.
Solution:
Since, the prime factors of 1290 are 2, 3, 5, 43. Therefore, the product of prime factors = 2 × 3 × 5 × 43 = 1290.
FAQs on Factors of 1290
What are the Factors of 1290?
The factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290 and its negative factors are -1, -2, -3, -5, -6, -10, -15, -30, -43, -86, -129, -215, -258, -430, -645, -1290.
What is the Sum of all the Factors of 1290?
Sum of all factors of 1290 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (431 + 1 - 1)/(43 - 1) = 3168
What are Pair Factors of 1290?
The pair factors of 1290 are (1, 1290), (2, 645), (3, 430), (5, 258), (6, 215), (10, 129), (15, 86), (30, 43).
What is the Greatest Common Factor of 1290 and 244?
The factors of 1290 and 244 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290 and 1, 2, 4, 61, 122, 244 respectively.
Common factors of 1290 and 244 are [1, 2].
Hence, the GCF of 1290 and 244 is 2.
How Many Factors of 340 are also common to the Factors of 1290?
Since, the factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290 and the factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Hence, [1, 2, 5, 10] are the common factors of 1290 and 340.
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