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 505, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 505 evenly are known as factors of 505. A factor of 505 is a number that divides the number without remainder. The factors of 505 are 1, 5, 101, and 505. Negative factors of 505: -1, -5, -101, and -505. Prime factors of 505: 5 and 101. Prime factorization of 505: 5 × 101. The sum of factors of 505: 1 + 5 + 101 + 505 = 612
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 505. Identifying the numbers which are multiplied to get the number 505 is the multiplication method. Step 1: Multiply 505 by 1, 505 × 1 = 505. Step 2: Check for other numbers that give 505 after multiplying 5 × 101 = 505 Therefore, the positive factor pairs of 505 are: (1, 505) and (5, 101). All these factor pairs result in 505. For every positive factor, there is a negative factor.
Dividing the given numbers with 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 505 by 1, 505 ÷ 1 = 505. Step 2: Continue dividing 505 by the numbers until the remainder becomes 0. 505 ÷ 1 = 505 505 ÷ 5 = 101 505 ÷ 101 = 5 Therefore, the factors of 505 are: 1, 5, 101, 505.
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 505 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1. 505 ÷ 5 = 101 101 ÷ 101 = 1 The prime factors of 505 are 5 and 101. The prime factorization of 505 is: 5 × 101.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 505 is divided by 5 to get 101. Step 2: Now divide 101 by 101 to get 1. Here, 101 is a prime number, and cannot be divided further. So, the prime factorization of 505 is: 5 × 101. 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 505: (1, 505) and (5, 101). Negative factor pairs of 505: (-1, -505) and (-5, -101).
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 5 buses, and 505 passengers. How will they equally distribute the passengers?
Each bus will have 101 passengers.
To distribute the passengers equally, divide the total passengers by the number of buses. 505 ÷ 5 = 101
A park has a total of 505 trees planted in a rectangular fashion. If one side has 5 rows, how many trees are there in each row?
101 trees.
To find the number of trees per row, use the formula: Total trees = rows × trees per row 505 = 5 × trees per row 505 ÷ 5 = trees per row Trees per row = 101.
There are 101 groups, and 505 participants. How many participants are there in each group?
Each group will have 5 participants.
To find the participants in each group, divide the total participants by the number of groups. 505 ÷ 101 = 5
A library has 505 books, and 5 shelves. How many books will be on each shelf?
Each shelf will have 101 books.
Divide the total books by the number of shelves. 505 ÷ 5 = 101
505 apples need to be packed into 101 boxes. How many apples will go in each box?
Each box will have 5 apples.
Divide the total apples by the number of boxes. 505 ÷ 101 = 5
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 505 are 1, 5, 101, and 505. Prime factors: The factors which are prime numbers. For example, 5 and 101 are prime factors of 505. 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 505 are (1, 505) and (5, 101). Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 505 is 5 × 101. Multiples: Numbers that can be divided by another number without a remainder. For example, 505 is a multiple of 5.
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.