126 LearnersLast updated on May 26th, 2025
Factors of 570
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 570, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 570?
The numbers that divide 570 evenly are known as factors of 570.
A factor of 570 is a number that divides the number without a remainder.
The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, and 570.
Negative factors of 570: -1, -2, -3, -5, -6, -10, -15, -19, -30, -38, -57, -95, -114, -190, -285, and -570.
Prime factors of 570: 2, 3, 5, and 19.
Prime factorization of 570: 2 × 3 × 5 × 19.
The sum of factors of 570: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 19 + 30 + 38 + 57 + 95 + 114 + 190 + 285 + 570 = 1440
How to Find Factors of 570?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 570. Identifying the numbers which are multiplied to get the number 570 is the multiplication method.
Step 1: Multiply 570 by 1, 570 × 1 = 570.
Step 2: Check for other numbers that give 570 after multiplying
2 × 285 = 570
3 × 190 = 570
5 × 114 = 570
6 × 95 = 570
10 × 57 = 570
15 × 38 = 570
19 × 30 = 570
Therefore, the positive factor pairs of 570 are: (1, 570), (2, 285), (3, 190), (5, 114), (6, 95), (10, 57), (15, 38), and (19, 30). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 570 by 1, 570 ÷ 1 = 570.
Step 2: Continue dividing 570 by the numbers until the remainder becomes 0.
570 ÷ 1 = 570
570 ÷ 2 = 285
570 ÷ 3 = 190
570 ÷ 5 = 114
570 ÷ 6 = 95
570 ÷ 10 = 57
570 ÷ 15 = 38
570 ÷ 19 = 30
Therefore, the factors of 570 are: 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, and 570.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 570 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
570 ÷ 2 = 285
285 ÷ 3 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
The prime factors of 570 are 2, 3, 5, and 19.
The prime factorization of 570 is: 2 × 3 × 5 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 570 is divided by 2 to get 285.
Step 2: Now divide 285 by 3 to get 95.
Step 3: Then divide 95 by 5 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 570 is: 2 × 3 × 5 × 19.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 570: (1, 570), (2, 285), (3, 190), (5, 114), (6, 95), (10, 57), (15, 38), and (19, 30).
Negative factor pairs of 570: (-1, -570), (-2, -285), (-3, -190), (-5, -114), (-6, -95), (-10, -57), (-15, -38), and (-19, -30).
Common Mistakes and How to Avoid Them in Factors of 570
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 570, 1 and 570 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 570 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 570/1.5 = 380, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 570 are prime numbers.
For example, 2, 3, 5, and 19 are the prime factors of 570, but it has other factors like 6, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 570 as 2 × 3 × 5 × 19 and missing all the key factors.
Factors of 570 Examples
Problem 1
A gardener wants to plant 570 flowers in 19 flower beds. How many flowers will each bed have?
Each bed will have 30 flowers.
Explanation
To distribute the flowers equally, we need to divide the total flowers by the number of flower beds.
570/19 = 30
Problem 2
A rectangular garden has a width of 15 meters and a total area of 570 square meters. Find the length.
38 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
570 = length × 15
To find the value of length, we need to shift 15 to the left side.
570/15 = length
Length = 38.
Problem 3
There are 6 teams and 570 players. How many players will be in each team?
Each team will have 95 players.
Explanation
To find the players in each team, divide the total players by the teams.
570/6 = 95
Problem 4
A school has 570 students and 10 buses. How many students are there on each bus?
There are 57 students on each bus.
Explanation
Dividing the students by the total buses, we will get the number of students on each bus.
570/10 = 57
Problem 5
570 apples need to be packed into 3 boxes. How many apples will go into each box?
Each of the boxes will have 190 apples.
Explanation
Divide the total apples by the number of boxes.
570/3 = 190
FAQs on Factors of 570
1.What are the factors of 570?
2.Mention the prime factors of 570.
3.Is 570 a multiple of 19?
4.Mention the factor pairs of 570?
5.What is the product of the prime factors of 570?
Important Glossaries for Factors of 570
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, and 570.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 19 are prime factors of 570.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 570 are (1, 570), (2, 285), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 570 is 2 × 3 × 5 × 19.
- Multiple: A number that can be divided by another number without a remainder. For example, 570 is a multiple of 19.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
