122 LearnersLast updated on May 26th, 2025
Factors of 695
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.
What are the Factors of 695?
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
How to Find Factors of 695?
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
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 695
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every whole number. Always remember to include 1 and the number itself.
For example, in factors of 695, 1 and 695 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 695 consist of -1, -5, -139, etc.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add a fraction as a factor. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 695/1.5 = 463.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 695 are prime numbers.
For example, 5 and 139 are the prime factors of 695, but it also has 1 and 695 as factors.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not breaking 695 as 5 × 139 and missing key factors.
Factors of 695 Examples
Problem 1
There are 5 families and 695 apples. How will they divide them equally?
They will get 139 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of families.
695/5 = 139
Problem 2
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.
Explanation
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.
Problem 3
There are 139 boxes and 695 marbles. How many marbles will be in each box?
Each box will have 5 marbles.
Explanation
To find the marbles in each box, divide the total number of marbles by the number of boxes.
695/139 = 5
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
695/5 = 139
Problem 5
695 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 139 books.
Explanation
Divide total books by shelves.
695/5 = 139
FAQs on Factors of 695
1.What are the factors of 695?
2.Mention the prime factors of 695.
3.Is 695 a multiple of 5?
4.Mention the factor pairs of 695?
5.What is the square of 695?
Important Glossaries for Factor of 695
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 695 are 1, 5, 139, and 695.
- Prime factors: The factors which are prime numbers. For example, 5 and 139 are prime factors of 695.
- 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 695 are (1, 695) and (5, 139).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 695 is 5 × 139.
- Multiples: A number is a multiple of another if it can be divided by that number without a remainder. For example, 695 is a multiple of 5.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
