116 LearnersLast updated on May 26th, 2025
Factors of 5670
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 5670, how they are used in real life, and tips to learn them quickly.
What are the Factors of 5670?
The numbers that divide 5670 evenly are known as factors of 5670.
A factor of 5670 is a number that divides the number without a remainder.
The factors of 5670 include numbers like 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 63, 90, 126, 189, 315, 630, 945, 1890, 2835, and 5670.
Negative factors of 5670: -1, -2, -3, -5, -6, -9, -10, -15, -18, -30, -45, -63, -90, -126, -189, -315, -630, -945, -1890, -2835, and -5670.
Prime factors of 5670: 2, 3, 3, 3, 5, and 7.
Prime factorization of 5670: 2 × 3³ × 5 × 7.
The sum of factors of 5670: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 30 + 45 + 63 + 90 + 126 + 189 + 315 + 630 + 945 + 1890 + 2835 + 5670 = 14535
How to Find Factors of 5670?
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 5670. Identifying the numbers which are multiplied to get the number 5670 is the multiplication method.
Step 1: Multiply 5670 by 1, 5670 × 1 = 5670.
Step 2: Check for other numbers that give 5670 after multiplying:
2 × 2835 = 5670
3 × 1890 = 5670
5 × 1134 = 5670
6 × 945 = 5670
9 × 630 = 5670
10 × 567 = 5670
15 × 378 = 5670
18 × 315 = 5670
30 × 189 = 5670
45 × 126 = 5670
63 × 90 = 5670
Therefore, the positive factor pairs of 5670 are: (1, 5670), (2, 2835), (3, 1890), (5, 1134), (6, 945), (9, 630), (10, 567), (15, 378), (18, 315), (30, 189), (45, 126), and (63, 90).
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 as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 5670 by 1, 5670 ÷ 1 = 5670.
Step 2: Continue dividing 5670 by the numbers until the remainder becomes 0.
5670 ÷ 1 = 5670
5670 ÷ 2 = 2835
5670 ÷ 3 = 1890
5670 ÷ 5 = 1134
5670 ÷ 6 = 945
5670 ÷ 9 = 630
5670 ÷ 10 = 567
5670 ÷ 15 = 378
5670 ÷ 18 = 315
5670 ÷ 30 = 189
5670 ÷ 45 = 126
5670 ÷ 63 = 90
Therefore, the factors of 5670 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 63, 90, 126, 189, 315, 630, 945, 1890, 2835, and 5670.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 5670 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
5670 ÷ 2 = 2835
2835 ÷ 3 = 945
945 ÷ 3 = 315
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
The prime factors of 5670 are 2, 3, 3, 3, 5, and 7.
The prime factorization of 5670 is: 2 × 3³ × 5 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 5670 is divided by 2 to get 2835.
Step 2: Now divide 2835 by 3 to get 945.
Step 3: Then divide 945 by 3 to get 315.
Step 4: Divide 315 by 3 to get 105.
Step 5: Divide 105 by 3 to get 35.
Step 6: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 5670 is: 2 × 3³ × 5 × 7.
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 5670: (1, 5670), (2, 2835), (3, 1890), (5, 1134), (6, 945), (9, 630), (10, 567), (15, 378), (18, 315), (30, 189), (45, 126), and (63, 90).
Negative factor pairs of 5670: (-1, -5670), (-2, -2835), (-3, -1890), (-5, -1134), (-6, -945), (-9, -630), (-10, -567), (-15, -378), (-18, -315), (-30, -189), (-45, -126), and (-63, -90).
Common Mistakes and How to Avoid Them in Factors of 5670
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 word. Always remember to include 1 and the number itself.
For example, in factors of 5670, 1 and 5670 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 5670 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 5670/1.5 = 3780, 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 5670 are prime numbers.
For example, 2 and 3 are some of the prime factors of 5670, 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 5670 as 2 × 3³ × 5 × 7 and missing all the key factors.
Factors of 5670 Examples
Problem 1
There are 6 teams and 5670 points. How many points does each team get if distributed equally?
Each team will get 945 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
5670/6 = 945
Problem 2
A rectangular stadium has a length of 90 meters and a total area of 5670 square meters. Find the width.
The width is 63 meters.
Explanation
To find the width of the stadium, we use the formula,
Area = length × width
5670 = 90 × width
To find the value of width, we need to shift 90 to the left side.
5670/90 = width
Width = 63
Problem 3
There are 9 storage containers, each with an equal number of items, totaling 5670 items. How many items in each container?
Each container will have 630 items.
Explanation
To find the items in each container, divide the total items by the number of containers.
5670/9 = 630
Problem 4
A concert has 5670 attendees, and there are 30 sections. How many attendees are there in each section?
Each section has 189 attendees.
Explanation
Dividing the attendees by the total sections, we will get the number of attendees in each section.
5670/30 = 189
Problem 5
5670 chairs need to be arranged in 10 rows. How many chairs will be in each row?
Each row will have 567 chairs.
Explanation
Divide the total chairs by the number of rows.
5670/10 = 567
FAQs on Factors of 5670
1.What are the factors of 5670?
2.Mention the prime factors of 5670.
3.Is 5670 a multiple of 9?
4.Mention the factor pairs of 5670.
5.What is the square of 5670?
6.How can children in United States use numbers in everyday life to understand Factors of 5670?
7.What are some fun ways kids in United States can practice Factors of 5670 with numbers?
8.What role do numbers and Factors of 5670 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 5670 skills?
Important Glossaries for Factor of 5670
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 5670 include 1, 2, 3, 5, 6, 9, 10, 15, and more.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 5670.
- 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 5670 are (1, 5670), (2, 2835), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.
- Division method: A method to find factors by dividing the number by other numbers until the remainder is zero.
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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.
