118 LearnersLast updated on May 26th, 2025
Factors of 1645
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 1645, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1645?
The numbers that divide 1645 evenly are known as factors of 1645. A factor of 1645 is a number that divides the number without remainder. The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, and 1645. Negative factors of 1645: -1, -5, -7, -35, -47, -235, -329, and -1645. Prime factors of 1645: 5, 7, and 47. Prime factorization of 1645: 5 × 7 × 47. The sum of factors of 1645: 1 + 5 + 7 + 35 + 47 + 235 + 329 + 1645 = 2304
How to Find Factors of 1645?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using 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 1645. Identifying the numbers which are multiplied to get the number 1645 is the multiplication method. Step 1: Multiply 1645 by 1, 1645 × 1 = 1645. Step 2: Check for other numbers that give 1645 after multiplying 5 × 329 = 1645 7 × 235 = 1645 47 × 35 = 1645 Therefore, the positive factor pairs of 1645 are: (1, 1645), (5, 329), (7, 235), (35, 47). All these factor pairs result in 1645. 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 a simple division method: Step 1: Divide 1645 by 1, 1645 ÷ 1 = 1645. Step 2: Continue dividing 1645 by the numbers until the remainder becomes 0. 1645 ÷ 1 = 1645 1645 ÷ 5 = 329 1645 ÷ 7 = 235 1645 ÷ 35 = 47 Therefore, the factors of 1645 are: 1, 5, 7, 35, 47, 235, 329, 1645.
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 1645 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 1645 ÷ 5 = 329 329 ÷ 7 = 47 47 ÷ 47 = 1 The prime factors of 1645 are 5, 7, and 47. The prime factorization of 1645 is: 5 × 7 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows: Step 1: Firstly, 1645 is divided by 5 to get 329. Step 2: Now divide 329 by 7 to get 47. Here, 47 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1645 is: 5 × 7 × 47. 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 1645: (1, 1645), (5, 329), (7, 235), and (35, 47). Negative factor pairs of 1645: (-1, -1645), (-5, -329), (-7, -235), and (-35, -47).
Common Mistakes and How to Avoid Them in Factors of 1645
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 as 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 whole number. Always remember to include 1 and the number itself. For example, in factors of 1645, 1 and 1645 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. For example, the factors of 1645 consist of -1, -5, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be a factor. For example, thinking 1.5 is a factor, because 1645/1.5 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 1645 are prime numbers. While 5, 7, and 47 are the prime factors of 1645, it has other factors like 35, 235.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors. For example, not breaking 1645 as 5 × 7 × 47 and missing all the key factors.
Factors of 1645 Examples
Problem 1
There are 7 teams and 1645 points in total. How many points will each team have if divided equally?
They will get 235 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams. 1645/7 = 235
Problem 2
A rectangular garden has a length of 47 meters and a total area of 1645 square meters. Find the width.
35 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1645 = 47 × width To find the value of the width, we need to shift 47 to the left side. 1645/47 = width Width = 35.
Problem 3
There are 5 containers and 1645 marbles. How many marbles will be in each container?
Each container will have 329 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the number of containers. 1645/5 = 329
Problem 4
In a workshop, there are 1645 tools and 35 sets. How many tools are there in each set?
There are 47 tools in each set.
Explanation
Dividing the tools by the total sets, we will get the number of tools in each set. 1645/35 = 47
Problem 5
1645 chairs need to be arranged in 47 rows. How many chairs will go in each row?
Each row has 35 chairs.
Explanation
Divide total chairs by rows. 1645/47 = 35
FAQs on Factors of 1645
1.What are the factors of 1645?
2.Mention the prime factors of 1645.
3.Is 1645 a multiple of 7?
4.Mention the factor pairs of 1645?
5.What is the square of 1645?
6.How can children in Canada use numbers in everyday life to understand Factors of 1645?
7.What are some fun ways kids in Canada can practice Factors of 1645 with numbers?
8.What role do numbers and Factors of 1645 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1645 skills?
Important Glossaries for Factor of 1645
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1645 are 1, 5, 7, 35, 47, 235, 329, and 1645. Prime factors: The factors which are prime numbers. For example, 5, 7, and 47 are prime factors of 1645. 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 1645 are (1, 1645), (5, 329), etc. Multiple: A number that can be divided by another number without a remainder. For example, 1645 is a multiple of 5 and 7. Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1645 is 5 × 7 × 47.
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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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