Factors of 290
Factors of 290 are integers that can be divided evenly into 290. There are overall 8 factors of 290 i.e. 1, 2, 5, 10, 29, 58, 145, 290 where 290 is the biggest factor. The sum of all factors of 290 is 540. Its Prime Factors are 2 × 5 × 29 and (1, 290), (2, 145), (5, 58), (10, 29) are Pair Factors.
- All Factors of 290: 1, 2, 5, 10, 29, 58, 145 and 290
- Negative Factors of 290: -1, -2, -5, -10, -29, -58, -145 and -290
- Prime Factors of 290: 2, 5, 29
- Prime Factorization of 290: 21 × 51 × 291
- Sum of Factors of 290: 540
1. | What Are the Factors of 290? |
2. | Factors of 290 by Prime Factorization |
3. | Factors of 290 in Pairs |
4. | FAQs on Factors of 290 |

What are Factors of 290?
Factors of 290 are pairs of those numbers whose products result in 290. These factors are either prime numbers or composite numbers.
How to Find the Factors of 290?
To find the factors of 290, we will have to find the list of numbers that would divide 290 without leaving any remainder.
- 290/29 = 10; therefore, 29 is a factor of 290 and 10 is also a factor of 290.
- 290/58 = 5; therefore, 58 is a factor of 290 and 5 is also a factor of 290.
☛ Also Check:
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 17 - The factors of 17 are 1, 17
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
Factors of 290 by Prime Factorization
- 290 ÷ 2 = 145
Further dividing 145 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 145 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 290 can be written as 21 × 51 × 291 where 2, 5, 29 are prime.
Factors of 290 in Pairs
Pair factors of 290 are the pairs of numbers that when multiplied give the product 290. The factors of 290 in pairs are:
- 1 × 290 = (1, 290)
- 2 × 145 = (2, 145)
- 5 × 58 = (5, 58)
- 10 × 29 = (10, 29)
Negative pair factors of 290 are:
- -1 × -290 = (-1, -290)
- -2 × -145 = (-2, -145)
- -5 × -58 = (-5, -58)
- -10 × -29 = (-10, -29)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 290 Solved Examples
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Example 1: How many factors are there for 290?
Solution:
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290. Therefore, 290 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 290 and 59.
Solution:
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290 and factors of 59 are 1, 59.
Therefore, the Least Common Multiple (LCM) of 290 and 59 is 17110 and Greatest Common Divisor (GCD) of 290 and 59 is 1. -
Example 3: Find if 1, 29, 58, 145 and 155 are factors of 290.
Solution:
When we divide 290 by 155 it leaves a remainder. Therefore, the number 155 is not a factor of 290. All numbers except 155 are factors of 290.
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Example 4: Find the product of all the prime factors of 290.
Solution:
Since, the prime factors of 290 are 2, 5, 29. Therefore, the product of prime factors = 2 × 5 × 29 = 290.
FAQs on Factors of 290
What are the Factors of 290?
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290 and its negative factors are -1, -2, -5, -10, -29, -58, -145, -290.
What is the Sum of Factors of 290?
Sum of all factors of 290 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (291 + 1 - 1)/(29 - 1) = 540
What are Prime Factors of 290?
The prime factors of 290 are 2, 5, 29.
What is the Greatest Common Factor of 290 and 50?
The factors of 290 and 50 are 1, 2, 5, 10, 29, 58, 145, 290 and 1, 2, 5, 10, 25, 50 respectively.
Common factors of 290 and 50 are [1, 2, 5, 10].
Hence, the Greatest Common Factor of 290 and 50 is 10.
How Many Factors of 290 are also common to the Factors of 191?
Since, the factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290 and factors of 191 are 1, 191. Hence, 290 and 191 have only one common factor which is 1. Therefore, 290 and 191 are co-prime.
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