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 695, how they are used in real life, and tips to learn them quickly.
The numbers that divide 695 evenly are known as factors of 695.
A factor of 695 is a number that divides the number without a remainder.
The factors of 695 are 1, 5, 139, and 695.
Negative factors of 695: -1, -5, -139, and -695.
Prime factors of 695: 5 and 139.
Prime factorization of 695: 5 × 139.
The sum of factors of 695: 1 + 5 + 139 + 695 = 840
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 695. Identifying the numbers which are multiplied to get the number 695 is the multiplication method.
Step 1: Multiply 695 by 1, 695 × 1 = 695.
Step 2: Check for other numbers that give 695 after multiplying:
5 × 139 = 695
Therefore, the positive factor pairs of 695 are: (1, 695) and (5, 139).
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 695 by 1, 695 ÷ 1 = 695.
Step 2: Continue dividing 695 by the numbers until the remainder becomes 0.
695 ÷ 1 = 695
695 ÷ 5 = 139
Therefore, the factors of 695 are: 1, 5, 139, 695.
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 695 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
695 ÷ 5 = 139
139 ÷ 139 = 1
The prime factors of 695 are 5 and 139.
The prime factorization of 695 is: 5 × 139.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 695 is divided by 5 to get 139.
Step 2: 139 is a prime number, so it cannot be divided further. So, the prime factorization of 695 is: 5 × 139.
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 695: (1, 695), (5, 139).
Negative factor pairs of 695: (-1, -695), (-5, -139).
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 families and 695 apples. How will they divide them equally?
They will get 139 apples each.
To divide the apples equally, we need to divide the total apples by the number of families.
695/5 = 139
A garden is rectangular, the length of the garden is 5 meters, and the total area is 695 square meters. Find the width.
139 meters.
To find the width of the garden, we use the formula:
Area = length × width
695 = 5 × width
To find the value of width, we need to divide 695 by 5.
695/5 = width
Width = 139.
There are 139 boxes and 695 marbles. How many marbles will be in each box?
Each box will have 5 marbles.
To find the marbles in each box, divide the total number of marbles by the number of boxes.
695/139 = 5
In a class, there are 695 students, and 5 groups. How many students are there in each group?
There are 139 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
695/5 = 139
695 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 139 books.
Divide total books by shelves.
695/5 = 139
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.