122 LearnersLast updated on May 26th, 2025
Factors of 1672
Factors are the numbers that divide any given number evenly without 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 1672, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1672?
The numbers that divide 1672 evenly are known as factors of 1672.
A factor of 1672 is a number that divides the number without remainder.
The factors of 1672 are 1, 2, 4, 8, 11, 22, 38, 44, 76, 88, 152, 304, 418, 836, and 1672.
Negative factors of 1672: -1, -2, -4, -8, -11, -22, -38, -44, -76, -88, -152, -304, -418, -836, and -1672.
Prime factors of 1672: 2 and 11.
Prime factorization of 1672: 23 × 11 × 19.
The sum of factors of 1672: 1 + 2 + 4 + 8 + 11 + 22 + 38 + 44 + 76 + 88 + 152 + 304 + 418 + 836 + 1672 = 3676.
How to Find Factors of 1672?
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 1672. Identifying the numbers which are multiplied to get the number 1672 is the multiplication method.
Step 1: Multiply 1672 by 1, 1672 × 1 = 1672.
Step 2: Check for other numbers that give 1672 after multiplying:
2 × 836 = 1672
4 × 418 = 1672
8 × 209 = 1672
11 × 152 = 1672
22 × 76 = 1672
38 × 44 = 1672
Therefore, the positive factor pairs of 1672 are: (1, 1672), (2, 836), (4, 418), (8, 209), (11, 152), (22, 76), (38, 44).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers are factors. Factors can be calculated by following a simple division method
Step 1: Divide 1672 by 1, 1672 ÷ 1 = 1672.
Step 2: Continue dividing 1672 by the numbers until the remainder becomes 0.
1672 ÷ 1 = 1672
1672 ÷ 2 = 836
1672 ÷ 4 = 418
1672 ÷ 8 = 209
1672 ÷ 11 = 152
1672 ÷ 22 = 76
1672 ÷ 38 = 44
Therefore, the factors of 1672 are: 1, 2, 4, 8, 11, 22, 38, 44, 76, 88, 152, 304, 418, 836, and 1672.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 1672 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1672 ÷ 2 = 836
836 ÷ 2 = 418
418 ÷ 2 = 209
209 ÷ 11 = 19
19 ÷ 19 = 1
The prime factors of 1672 are 2, 11, and 19.
The prime factorization of 1672 is: 23 × 11 × 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, 1672 is divided by 2 to get 836.
Step 2: Now divide 836 by 2 to get 418.
Step 3: Then divide 418 by 2 to get 209.
Step 4: Divide 209 by 11 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1672 is: 23 × 11 × 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 1672: (1, 1672), (2, 836), (4, 418), (8, 209), (11, 152), (22, 76), (38, 44).
Negative factor pairs of 1672: (-1, -1672), (-2, -836), (-4, -418), (-8, -209), (-11, -152), (-22, -76), (-38, -44).
Common Mistakes and How to Avoid Them in Factors of 1672
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 1672, 1 and 1672 are also factors.
Mistake 2
Missing Negative Factors
We have used to mention only positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1672 consist of -1, -2, -4, 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 1672/1.5 = 1114.666..., 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 1672 are prime numbers. For example, 2, 11, and 19 are the prime factors of 1672, but it has other factors like 38, 76.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1672 as 2^3 × 11 × 19 and missing all the key factors.
Factors of 1672 Examples
Problem 1
A company has 8 departments and 1672 files. How will they distribute the files equally?
They will get 209 files each.
Explanation
To divide the files equally, we need to divide the total files by the number of departments.
1672/8 = 209
Problem 2
A garden is rectangular, the length of the garden is 19 meters, and the total area is 1672 square meters. Find the width?
88 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1672 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1672/19 = width
Width = 88.
Problem 3
There are 22 crates and 1672 apples. How many apples will be in each crate?
Each crate will have 76 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
1672/22 = 76
Problem 4
In a town, there are 1672 residents and 76 buses. How many residents are there in each bus?
There are 22 residents in each bus.
Explanation
Dividing the residents by the total buses, we will get the number of residents in each bus.
1672/76 = 22
Problem 5
1672 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 418 books.
Explanation
Divide total books by shelves.
1672/4 = 418
FAQs on Factors of 1672
1.What are the factors of 1672?
2.Mention the prime factors of 1672.
3.Is 1672 a multiple of 4?
4.Mention the factor pairs of 1672?
5.What is the square of 1672?
6.How can children in Canada use numbers in everyday life to understand Factors of 1672?
7.What are some fun ways kids in Canada can practice Factors of 1672 with numbers?
8.What role do numbers and Factors of 1672 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1672 skills?
Important Glossaries for Factors of 1672
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1672 are 1, 2, 4, 8, 11, 22, 38, 44, 76, 88, 152, 304, 418, 836, and 1672.
- Prime factors: The factors which are prime numbers. For example, 2, 11, and 19 are prime factors of 1672.
- 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 1672 are (1, 1672), (2, 836), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1672 is 23 × 11 × 19.
- Sum of factors: The total of all factors of a number added together. For example, the sum of factors of 1672 is 3676.
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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
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