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 805, how they are used in real life, and tips to learn them quickly.
The numbers that divide 805 evenly are known as factors of 805.
A factor of 805 is a number that divides the number without remainder.
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, and 805.
Negative factors of 805: -1, -5, -7, -23, -35, -115, -161, and -805.
Prime factors of 805: 5, 7, and 23.
Prime factorization of 805: 5 × 7 × 23.
The sum of factors of 805: 1 + 5 + 7 + 23 + 35 + 115 + 161 + 805 = 1152
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 805. Identifying the numbers which are multiplied to get the number 805 is the multiplication method.
Step 1: Multiply 805 by 1, 805 × 1 = 805.
Step 2: Check for other numbers that give 805 after multiplying
5 × 161 = 805
7 × 115 = 805
23 × 35 = 805
Therefore, the positive factor pairs of 805 are: (1, 805), (5, 161), (7, 115), (23, 35). All these factor pairs result in 805.
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 simple division method
Step 1: Divide 805 by 1, 805 ÷ 1 = 805.
Step 2: Continue dividing 805 by the numbers until the remainder becomes 0.
805 ÷ 1 = 805
805 ÷ 5 = 161
805 ÷ 7 = 115
805 ÷ 23 = 35
Therefore, the factors of 805 are: 1, 5, 7, 23, 35, 115, 161, 805.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 805 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
805 ÷ 5 = 161
161 ÷ 7 = 23
23 ÷ 23 = 1
The prime factors of 805 are 5, 7, and 23.
The prime factorization of 805 is: 5 × 7 × 23.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 805 is divided by 5 to get 161.
Step 2: Now divide 161 by 7 to get 23.
Step 3: Divide 23 by 23 to get 1. Here, 23 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 805 is: 5 × 7 × 23.
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 805: (1, 805), (5, 161), (7, 115), and (23, 35).
Negative factor pairs of 805: (-1, -805), (-5, -161), (-7, -115), and (-23, -35).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 23 people is planning a road trip, and they have 805 miles to cover. How many miles will each person be responsible for if they divide the distance equally?
Each person will be responsible for 35 miles.
To divide the distance equally, we need to divide the total miles by the number of people.
805/23 = 35
A long piece of ribbon measuring 805 meters needs to be cut into shorter pieces, each 7 meters long. How many pieces can be cut?
115 pieces.
To find out how many pieces can be cut, divide the total length by the length of each piece.
805/7 = 115
A baker has 805 cupcakes and wants to pack them into boxes, each holding 161 cupcakes. How many boxes will he need?
The baker will need 5 boxes.
To find the number of boxes, divide the total cupcakes by the number each box can hold.
805/161 = 5
A classroom of 35 students is organizing a charity marathon of 805 meters. How many meters will each student run if the distance is shared equally?
Each student will run 23 meters.
Dividing the total distance by the number of participants gives the distance each will run.
805/35 = 23
A factory produces 805 gadgets and needs to package them into boxes of 5. How many boxes will be needed?
161 boxes are needed.
Divide the total number of gadgets by the number each box can hold.
805/5 = 161
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.