Last updated on May 26th, 2025
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.
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
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
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
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.
To divide the points equally, we need to divide the total points by the number of teams. 1645/7 = 235
A rectangular garden has a length of 47 meters and a total area of 1645 square meters. Find the width.
35 meters.
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.
There are 5 containers and 1645 marbles. How many marbles will be in each container?
Each container will have 329 marbles.
To find the marbles in each container, divide the total marbles by the number of containers. 1645/5 = 329
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.
Dividing the tools by the total sets, we will get the number of tools in each set. 1645/35 = 47
1645 chairs need to be arranged in 47 rows. How many chairs will go in each row?
Each row has 35 chairs.
Divide total chairs by rows. 1645/47 = 35
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.
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.