Last updated on May 26th, 2025
Factors of 620 are numbers that can divide 620 completely without the remainder. We often use factors like organizing events and seating arrangements in our daily lives. In this topic, we will know more about the factors of 620 and the different methods to find them.
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, and 620.
Positive factors: These are negative counterparts of the positive factors.
Positive factors: -1, -2, -4, -5, -10, -20, -31, -62, -124, -155, -310, -620
Negative factors: These are the negative counterparts of the positive factors.
Negative factors: -1, -2, -4, -5, -10, -20, -31, -62, -124, -155, -310, -620
Prime factors: Prime factors are the prime numbers themselves, when multiplied together, give 620 as the product.
Prime factors: 2, 5, 31
Prime Factorization: Prime factorization involves breaking 620 into its prime factors.
It is expressed as 2² × 5 × 31
There are different methods to find the factors of 620.
Methods to find the factors of 620:
This breakdown helps in understanding the various factors of 620, whether they are positive or negative, as well as how prime factorization works for this number.
The multiplication method finds the pair of factors that give 620 as their product.
Step 1: Find the pair of numbers whose product is 620.
Step 2: The factors are those numbers that, when multiplied, give 620.
Step 3: Make a list of numbers whose product will be 620.
A list of numbers whose products are 620 is given below:
The division method finds the numbers that fully divide the given number. The steps are given below:
Step 1: Since every number is divisible by 1, 1 will always be a factor.
Example: 620 ÷ 1 = 620
Step 2: Move to the next integer. The factors of the number include the number that is used to divide and the number of times the particular number is divided.
Multiplying prime numbers to get the given number as their product is called prime factors. A number when it is simplified using the factors of that number and is expressed in the form of prime factors is the prime factorization of a number.
Prime Factors of 620: Number 620 has the prime factors 2, 5, and 31.
To find the prime factors of 620, we can divide 620 with the prime numbers like 2, 5, and 31 from the list of factors of 620.
Step 1: Divide 620 by the prime number 2
620 ÷ 2 = 310
Step 2: Divide 310 by the prime number 2
310 ÷ 2 = 155
Step 3: Divide 155 by the prime number 5
155 ÷ 5 = 31
Step 4: Divide 31 by the prime number 31
31 ÷ 31 = 1
Prime Factorization of 620: Prime factorization breaks down the prime factors of 620.
Expressed as 2² × 5 × 31
The prime factorization is visually represented using the factor tree. It helps to understand the process easily.
This tree shows the breakdown of 620 into its prime factors: 2 × 2 × 5 × 31.
In this factor tree, each branch splits into prime factors.
Factors of 620 can be written in both positive pairs and negative pairs. They are like team members. Their product will be equal to the number given.
Positive Factor Pairs: (1, 620), (2, 310), (4, 155), (5, 124), (10, 62), (20, 31)
Negative Factor Pairs: (-1, -620), (-2, -310), (-4, -155), (-5, -124), (-10, -62), (-20, -31)
Mistakes can occur while finding the factors. Learn about the common errors that can occur. Solutions to solve the common mistakes are given below.
Can you check whether 31 and 62 are co-prime?
No, 31 and 62 are not co-prime
To check whether two numbers are co-prime, list their factors first. Once you have listed the factors, identify the common factors and determine the GCF. If the GCF is greater than 1, then the numbers are not co-prime.
Factors of 31: 1, 31
Factors of 62: 1, 2, 31, 62
Here, the GCF is 31. So 31 and 62 are not co-prime. For co-prime, the GCF of numbers should be 1.
Verify whether 620 is a multiple of 5
Yes, 620 is a multiple of 5
A number is a multiple of 5 if it ends in 0 or 5. Since 620 ends in 0, it is divisible by 5, making it a multiple of 5.
Identify the perfect square from the factors of 620
The perfect square factor of 620 is 4 and the root is 2
A perfect square is a number we get when the same number is multiplied twice. When 2 is multiplied twice (2×2) we get the perfect square 4.
Are 12 and 620 co-prime?
No, 12 and 620 are not co-prime
To check whether two numbers are co-prime, list their factors first. Once you have listed the factors, identify the common factors and determine the GCF. If the GCF is greater than 1, then the numbers are not co-prime.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 620: 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Here, the GCF is 2. So 12 and 620 are not co-prime. For co-prime, the GCF of numbers should be 1.
Can 620 be evenly divided by 31?
Yes, 620 can be evenly divided by 31
To check divisibility, divide 620 by 31. The quotient is 20, with no remainder. Since the division results in a whole number, 620 is divisible by 31.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.