113 LearnersLast updated on May 26th, 2025
Factors of 699
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 699, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 699?
The numbers that divide 699 evenly are known as factors of 699.
A factor of 699 is a number that divides the number without a remainder.
The factors of 699 are 1, 3, 233, and 699.
Negative factors of 699: -1, -3, -233, and -699.
Prime factors of 699: 3 and 233.
Prime factorization of 699: 3 × 233.
The sum of factors of 699: 1 + 3 + 233 + 699 = 936.
How to Find Factors of 699?
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
Finding Factors Using Multiplication
To find factors using multiplication, we identify the pairs of numbers that multiply to give 699. Identifying these numbers is the multiplication method.
Step 1: Multiply 699 by 1, 699 × 1 = 699.
Step 2: Check for other numbers that give 699 after multiplying: 3 × 233 = 699
Therefore, the positive factor pairs of 699 are (1, 699) and (3, 233).
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 in whole numbers as factors. Factors can be calculated by following the simple division method:
Step 1: Divide 699 by 1, 699 ÷ 1 = 699.
Step 2: Continue dividing 699 by the numbers until the remainder becomes 0.
699 ÷ 1 = 699
699 ÷ 3 = 233
Therefore, the factors of 699 are 1, 3, 233, and 699.
Prime Factors and Prime Factorization
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 a factor tree
Using Prime Factorization: In this process, prime factors of 699 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
699 ÷ 3 = 233
233 is a prime number, so it cannot be divided further.
The prime factors of 699 are 3 and 233.
The prime factorization of 699 is: 3 × 233.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 699 is divided by 3 to get 233. Since 233 is a prime number, it cannot be divided further. So, the prime factorization of 699 is: 3 × 233.
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 699: (1, 699) and (3, 233).
Negative factor pairs of 699: (-1, -699) and (-3, -233).
Common Mistakes and How to Avoid Them in Factors of 699
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 699, 1 and 699 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 699 include -1, -3, -233, etc.
Mistake 3
Including the Fraction
Children might sometimes include fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 as a factor, because 699/2.5 = 279.6, 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, assuming all the factors of 699 are prime numbers.
For example, 3 and 233 are the prime factors of 699, but it has other factors like 1, 699.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 699 as 3 × 233 and missing key factors.
Factors of 699 Examples
Problem 1
There are 3 friends and 699 candies. How will they divide it equally?
They will get 233 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
699/3 = 233
Problem 2
A plot is rectangular, the length of the plot is 3 meters and the total area is 699 square meters. Find the width?
233 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
699 = 3 × width
To find the value of width, we need to shift 3 to the left side.
699/3 = width Width = 233.
Problem 3
There are 699 apples and 233 baskets. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
699/233 = 3
Problem 4
In a competition, there are 699 participants, and 3 teams. How many participants are there in each team?
There are 233 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
699/3 = 233
Problem 5
699 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 233 books.
Explanation
Divide total books by shelves.
699/3 = 233
FAQs on Factors of 699
1.What are the factors of 699?
2.Mention the prime factors of 699.
3.Is 699 a multiple of 3?
4.Mention the factor pairs of 699?
5.What is the square of 699?
6.How can children in United States use numbers in everyday life to understand Factors of 699?
7.What are some fun ways kids in United States can practice Factors of 699 with numbers?
8.What role do numbers and Factors of 699 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 699 skills?
Important Glossaries for Factors of 699
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 699 are 1, 3, 233, and 699.
- Prime factors: The factors which are prime numbers. For example, 3 and 233 are prime factors of 699.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 699 is 3 × 233.
- Factor pairs: Two numbers that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 699 are (1, 699) and (3, 233).
- Negative factors: Factors that are negative numbers. For example, -1, -3, -233, and -699 are negative factors of 699.
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About BrightChamps in United States
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.
