119 LearnersLast updated on May 26th, 2025
Factors of 787
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 787, how they are used in real life, and tips to learn them quickly.
What are the Factors of 787?
The numbers that divide 787 evenly are known as factors of 787.
A factor of 787 is a number that divides the number without a remainder.
The factors of 787 are 1, 787.
Negative factors of 787: -1, -787.
Since 787 is a prime number, it does not have any other factors besides 1 and itself.
The sum of factors of 787: 1 + 787 = 788
How to Find Factors of 787?
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 787.
However, since 787 is a prime number, it does not have any multiplication pairs other than 1 × 787 = 787.
Therefore, the positive factor pairs of 787 are: (1, 787).
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 that result in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 787 by 1, 787 ÷ 1 = 787.
Step 2: Check if there are any other numbers that divide 787 evenly. Since 787 is a prime number, no other numbers divide it evenly except 1 and 787.
Prime Factors and Prime Factorization
For prime numbers like 787, the only prime factors are the number itself. Prime factorization of 787 simply involves recognizing that 787 cannot be divided evenly by any other prime number except itself and 1. Therefore, the prime factorization of 787 is 787.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. However, for a prime number like 787, the factor tree is straightforward.
Step 1: Recognize that 787 is a prime number. Since 787 cannot be divided by other primes, the factor tree consists of the number itself: 787.
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 787: (1, 787).
Negative factor pairs of 787: (-1, -787).
Common Mistakes and How to Avoid Them in Factors of 787
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 787, 1 and 787 are factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 787 include -1 and -787.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 787/1.5 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 a number must be prime. For 787, it is itself a prime number.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not recognizing that 787 is a prime number might lead to unnecessary calculations.
Factors of 787 Examples
Problem 1
There is 1 box and 787 marbles. How will you distribute them?
All marbles will go into the single box.
Explanation
To distribute the marbles, we divide the total marbles by the number of boxes.
787/1 = 787
Problem 2
A bridge is 787 meters long and has only one support pillar. How long is the unsupported span?
787 meters.
Explanation
Since the bridge has only one support pillar at one end, the unsupported span is the entire length of the bridge.
Problem 3
There are 787 pages in a book and 1 bookmark. How many pages will each bookmark keep track of?
The bookmark will keep track of 787 pages.
Explanation
Each bookmark will track the entire book since there is only one bookmark.
787/1 = 787
Problem 4
A painter has 787 ml of paint to apply evenly in one continuous stroke. How much paint will be applied?
787 ml.
Explanation
In one continuous stroke, the entire amount of paint will be used.
787/1 = 787
Problem 5
An artist has made a single long brushstroke 787 meters long. How long is each stroke?
787 meters.
Explanation
The artist made one continuous stroke, which is the entire length.
787/1 = 787
FAQs on Factors of 787
1.What are the factors of 787?
2.What is the prime factorization of 787?
3.Is 787 a multiple of any number other than 1 and itself?
4.What are the factor pairs of 787?
5.Is 787 a prime number?
6.How can children in Qatar use numbers in everyday life to understand Factors of 787?
7.What are some fun ways kids in Qatar can practice Factors of 787 with numbers?
8.What role do numbers and Factors of 787 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 787 skills?
Important Glossaries for Factor of 787
- Factors: Numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 787 are 1 and 787.
- Prime factors: The factors which are prime numbers. For example, 787 itself is a prime factor.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 787 is (1, 787).
- Prime number: A number that has no divisors other than 1 and itself. For example, 787 is a prime number.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, -1 and -787 are negative factors of 787.
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About BrightChamps in Qatar
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.
