Factors of 620
Factors of 620 are numbers that, when multiplied in pairs give the product as 620. There are overall 12 factors of 620, of which 2, 5, 31 are its prime factors. The Prime Factorization of 620 is 22 × 51 × 311.
- All Factors of 620: 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310 and 620
- Prime Factors of 620: 2, 5, 31
- Prime Factorization of 620: 22 × 51 × 311
- Sum of Factors of 620: 1344
1. | What Are the Factors of 620? |
2. | Factors of 620 by Prime Factorization |
3. | Factors of 620 in Pairs |
4. | FAQs on Factors of 620 |
What are Factors of 620?
Factors of 620 are pairs of those numbers whose products result in 620. These factors are either prime numbers or composite numbers.
How to Find the Factors of 620?
To find the factors of 620, we will have to find the list of numbers that would divide 620 without leaving any remainder.
- 620/310 = 2; therefore, 310 is a factor of 620 and 2 is also a factor of 620.
- 620/155 = 4; therefore, 155 is a factor of 620 and 4 is also a factor of 620.
☛ Also Check:
- 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 11 - The factors of 11 are 1, 11
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
Factors of 620 by Prime Factorization
- 620 ÷ 2 = 310
- 310 ÷ 2 = 155
Further dividing 155 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 155 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 620 can be written as 22 × 51 × 311 where 2, 5, 31 are prime.
Factors of 620 in Pairs
Pair factors of 620 are the pairs of numbers that when multiplied give the product 620. The factors of 620 in pairs are:
- 1 × 620 = (1, 620)
- 2 × 310 = (2, 310)
- 4 × 155 = (4, 155)
- 5 × 124 = (5, 124)
- 10 × 62 = (10, 62)
- 20 × 31 = (20, 31)
Negative pair factors of 620 are:
- -1 × -620 = (-1, -620)
- -2 × -310 = (-2, -310)
- -4 × -155 = (-4, -155)
- -5 × -124 = (-5, -124)
- -10 × -62 = (-10, -62)
- -20 × -31 = (-20, -31)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 620 Solved Examples
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Example 1: How many factors are there for 620?
Solution:
The factors of 620 are too many, therefore if we can find the prime factorization of 620, 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 620 = 22 × 51 × 311
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 620 and 164.
Solution:
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620 and factors of 164 are 1, 2, 4, 41, 82, 164.
Therefore, the Least Common Multiple of 620 and 164 is 25420 and Greatest Common Factor (GCF) of 620 and 164 is 4. -
Example 3: Find if 2, 4, 5, 20, 62, 155 and 164 are factors of 620.
Solution:
When we divide 620 by 164 it leaves a remainder. Therefore, the number 164 is not a factor of 620. All numbers except 164 are factors of 620.
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Example 4: Find the product of all the prime factors of 620.
Solution:
Since, the prime factors of 620 are 2, 5, 31. Therefore, the product of prime factors = 2 × 5 × 31 = 310.
FAQs on Factors of 620
What are the Factors of 620?
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620 and its negative factors are -1, -2, -4, -5, -10, -20, -31, -62, -124, -155, -310, -620.
What is the Sum of the Factors of 620?
Sum of all factors of 620 = (22 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (311 + 1 - 1)/(31 - 1) = 1344
What are the Prime Factors of 620?
The prime factors of 620 are 2, 5, 31.
What is the Greatest Common Factor of 620 and 459?
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620 and the factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. 620 and 459 have only one common factor which is 1. This implies that 620 and 459 are co-prime.
Hence, the Greatest Common Factor (GCF) of 620 and 459 is 1.
How Many Factors of 620 are also common to the Factors of 397?
Since, the factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620 and factors of 397 are 1, 397. Hence, 620 and 397 have only one common factor which is 1. Therefore, 620 and 397 are co-prime.
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