Factors of 1330
Factors of 1330 are integers that can be divided evenly into 1330. There are 16 factors of 1330 of which 1330 itself is the biggest factor and its prime factors are 2, 5, 7, 19 The sum of all factors of 1330 is 2880.
- All Factors of 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665 and 1330
- Prime Factors of 1330: 2, 5, 7, 19
- Prime Factorization of 1330: 21 × 51 × 71 × 191
- Sum of Factors of 1330: 2880
1. | What Are the Factors of 1330? |
2. | Factors of 1330 by Prime Factorization |
3. | Factors of 1330 in Pairs |
4. | FAQs on Factors of 1330 |

What are Factors of 1330?
Factors of 1330 are pairs of those numbers whose products result in 1330. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1330?
To find the factors of 1330, we will have to find the list of numbers that would divide 1330 without leaving any remainder.
- 1330/19 = 70; therefore, 19 is a factor of 1330 and 70 is also a factor of 1330.
- 1330/95 = 14; therefore, 95 is a factor of 1330 and 14 is also a factor of 1330.
☛ Also Check:
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 37 - The factors of 37 are 1, 37
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
Factors of 1330 by Prime Factorization
- 1330 ÷ 2 = 665
Further dividing 665 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 665 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 1330 can be written as 21 × 51 × 71 × 191 where 2, 5, 7, 19 are prime.
Factors of 1330 in Pairs
Pair factors of 1330 are the pairs of numbers that when multiplied give the product 1330. The factors of 1330 in pairs are:
- 1 × 1330 = (1, 1330)
- 2 × 665 = (2, 665)
- 5 × 266 = (5, 266)
- 7 × 190 = (7, 190)
- 10 × 133 = (10, 133)
- 14 × 95 = (14, 95)
- 19 × 70 = (19, 70)
- 35 × 38 = (35, 38)
Negative pair factors of 1330 are:
- -1 × -1330 = (-1, -1330)
- -2 × -665 = (-2, -665)
- -5 × -266 = (-5, -266)
- -7 × -190 = (-7, -190)
- -10 × -133 = (-10, -133)
- -14 × -95 = (-14, -95)
- -19 × -70 = (-19, -70)
- -35 × -38 = (-35, -38)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1330 Solved Examples
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Example 1: How many factors are there for 1330?
Solution:
The factors of 1330 are too many, therefore if we can find the prime factorization of 1330, 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 1330 = 21 × 51 × 71 × 191
Therefore, the total number of factors are (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 2 × 2 × 2 × 2 = 16 -
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 1330 and 604.
Solution:
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330 and factors of 604 are 1, 2, 4, 151, 302, 604.
Therefore, the Lowest Common Multiple (LCM) of 1330 and 604 is 401660 and Highest Common Factor (HCF) of 1330 and 604 is 2. -
Example 3: Find if 7, 14, 35, 133, 190, 266, 446 and 1330 are factors of 1330.
Solution:
When we divide 1330 by 446 it leaves a remainder. Therefore, the number 446 is not a factor of 1330. All numbers except 446 are factors of 1330.
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Example 4: Find the product of all the prime factors of 1330.
Solution:
Since, the prime factors of 1330 are 2, 5, 7, 19. Therefore, the product of prime factors = 2 × 5 × 7 × 19 = 1330.
FAQs on Factors of 1330
What are the Factors of 1330?
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330 and its negative factors are -1, -2, -5, -7, -10, -14, -19, -35, -38, -70, -95, -133, -190, -266, -665, -1330.
What is the Sum of Factors of 1330?
Sum of all factors of 1330 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) × (191 + 1 - 1)/(19 - 1) = 2880
What are the Pair Factors of 1330?
The pair factors of 1330 are (1, 1330), (2, 665), (5, 266), (7, 190), (10, 133), (14, 95), (19, 70), (35, 38).
What is the Greatest Common Factor of 1330 and 1098?
The factors of 1330 and 1098 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330 and 1, 2, 3, 6, 9, 18, 61, 122, 183, 366, 549, 1098 respectively.
Common factors of 1330 and 1098 are [1, 2].
Hence, the Greatest Common Factor of 1330 and 1098 is 2.
What are the Common Factors of 1330 and 468?
Since, the factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330 and the factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468.
Hence, [1, 2] are the common factors of 1330 and 468.
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