Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 507, how they are used in real life, and tips to learn them quickly.
The numbers that divide 507 evenly are known as factors of 507. A factor of 507 is a number that divides the number without a remainder. The factors of 507 are 1, 3, 13, 39, 169, and 507. Negative factors of 507: -1, -3, -13, -39, -169, and -507. Prime factors of 507: 3 and 13. Prime factorization of 507: 3 × 13 × 13. The sum of factors of 507: 1 + 3 + 13 + 39 + 169 + 507 = 732
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
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 507. Identifying the numbers that are multiplied to get the number 507 is the multiplication method. Step 1: Multiply 507 by 1, 507 × 1 = 507. Step 2: Check for other numbers that give 507 after multiplying 3 × 169 = 507 13 × 39 = 507 Therefore, the positive factor pairs of 507 are: (1, 507), (3, 169), (13, 39). All these factor pairs result in 507. 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 507 by 1, 507 ÷ 1 = 507. Step 2: Continue dividing 507 by the numbers until the remainder becomes 0. 507 ÷ 1 = 507 507 ÷ 3 = 169 507 ÷ 13 = 39 Therefore, the factors of 507 are: 1, 3, 13, 39, 169, 507.
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 507 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1. 507 ÷ 3 = 169 169 ÷ 13 = 13 13 ÷ 13 = 1 The prime factors of 507 are 3 and 13. The prime factorization of 507 is: 3 × 13 × 13.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows - Step 1: Firstly, 507 is divided by 3 to get 169. Step 2: Now divide 169 by 13 to get 13. Step 3: 13 is a prime number and cannot be divided further. So, the prime factorization of 507 is: 3 × 13 × 13. 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 507: (1, 507), (3, 169), (13, 39). Negative factor pairs of 507: (-1, -507), (-3, -169), (-13, -39).
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 3 teams and 507 marbles. How will they divide it equally?
They will get 169 marbles each.
To divide the marbles equally, we need to divide the total marbles with the number of teams. 507/3 = 169
A garden is rectangular, the length of the garden is 13 meters and the total area is 507 square meters. Find the width?
39 meters.
To find the width of the garden, we use the formula, Area = length × width 507 = 13 × width To find the value of width, we need to shift 13 to the left side. 507/13 = width Width = 39.
There are 169 gift boxes and 507 candies. How many candies will be in each box?
Each box will have 3 candies.
To find the candies in each box, divide the total candies with the boxes. 507/169 = 3
In a library, there are 507 books, and 13 shelves. How many books are there on each shelf?
There are 39 books on each shelf.
Dividing the books with the total shelves, we will get the number of books on each shelf. 507/13 = 39
507 apples need to be packed in 13 crates. How many apples will go in each crate?
Each of the crates has 39 apples.
Divide total apples with crates. 507/13 = 39
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 507 are 1, 3, 13, 39, 169, and 507. Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 507. 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 507 are (1, 507), (3, 169), and (13, 39). Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to the given number. Division method: A process to find factors by dividing the given number by whole numbers and checking for zero remainders.
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.