124 LearnersLast updated on May 26th, 2025
Factors of 707
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 707, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 707?
The numbers that divide 707 evenly are known as factors of 707.
A factor of 707 is a number that divides the number without remainder.
The factors of 707 are 1, 7, 101, and 707.
Negative factors of 707: -1, -7, -101, and -707.
Prime factors of 707: 7 and 101.
Prime factorization of 707: 7 × 101.
The sum of factors of 707: 1 + 7 + 101 + 707 = 816
How to Find Factors of 707?
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 707. Identifying the numbers which are multiplied to get the number 707 is the multiplication method.
Step 1: Multiply 707 by 1, 707 × 1 = 707.
Step 2: Check for other numbers that give 707 after multiplying
7 × 101 = 707
Therefore, the positive factor pairs of 707 are: (1, 707) and (7, 101).
All these factor pairs result in 707. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 707 by 1, 707 ÷ 1 = 707.
Step 2: Continue dividing 707 by the numbers until the remainder becomes 0.
707 ÷ 1 = 707
707 ÷ 7 = 101
Therefore, the factors of 707 are: 1, 7, 101, 707.
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 707 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
707 ÷ 7 = 101
101 ÷ 101 = 1
The prime factors of 707 are 7 and 101.
The prime factorization of 707 is: 7 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 707 is divided by 7 to get 101.
Step 2: Now divide 101 by 101 to get 1.
Here, 101 is a prime number that cannot be divided anymore. So, the prime factorization of 707 is: 7 × 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 707: (1, 707) and (7, 101).
Negative factor pairs of 707: (-1, -707) and (-7, -101).
Common Mistakes and How to Avoid Them in Factors of 707
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 number. Always remember to include 1 and the number itself.
For example, in factors of 707, 1 and 707 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 707 consist of -1, -7, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 707/1.5 = 471.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 707 are prime numbers.
For example, 7 and 101 are the prime factors of 707, but it has other factors like 1 and 707.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 707 as 7 × 101 and missing all the key factors.
Factors of 707 Examples
Problem 1
There are 7 teams and 707 participants. How will they divide equally among the teams?
They will get 101 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
707/7 = 101
Problem 2
A wall is rectangular, the height of the wall is 7 meters and the total area is 707 square meters. Find the length?
101 meters.
Explanation
To find the length of the wall, we use the formula,
Area = length × height
707 = 7 × length
To find the value of length, we need to shift 7 to the left side.
707/7 = length
Length = 101.
Problem 3
There are 101 shelves and 707 books. How many books will be on each shelf?
Each shelf will have 7 books.
Explanation
To find the books on each shelf, divide the total books by the number of shelves.
707/101 = 7
Problem 4
In a sports event, there are 707 participants and 101 groups. How many participants are there in each group?
There are 7 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
707/101 = 7
Problem 5
707 apples need to be packed in 101 crates. How many apples will go in each crate?
Each of the crates has 7 apples.
Explanation
Divide total apples by crates.
707/101 = 7
FAQs on Factors of 707
1.What are the factors of 707?
2.Mention the prime factors of 707.
3.Is 707 a multiple of 7?
4.Mention the factor pairs of 707?
5.What is the square of 707?
Important Glossaries for Factor of 707
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 707 are 1, 7, 101, and 707.
- Prime factors: The factors which are prime numbers. For example, 7 and 101 are prime factors of 707.
- 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 707 are (1, 707) and (7, 101).
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
- Prime factorization: The process of breaking down a number into the multiplication of its prime factors, such as 7 × 101 for 707.
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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.
