Last updated on May 26th, 2025
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.
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
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 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.
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.
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.
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).
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 is 1 box and 787 marbles. How will you distribute them?
All marbles will go into the single box.
To distribute the marbles, we divide the total marbles by the number of boxes.
787/1 = 787
A bridge is 787 meters long and has only one support pillar. How long is the unsupported span?
787 meters.
Since the bridge has only one support pillar at one end, the unsupported span is the entire length of the bridge.
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.
Each bookmark will track the entire book since there is only one bookmark.
787/1 = 787
A painter has 787 ml of paint to apply evenly in one continuous stroke. How much paint will be applied?
787 ml.
In one continuous stroke, the entire amount of paint will be used.
787/1 = 787
An artist has made a single long brushstroke 787 meters long. How long is each stroke?
787 meters.
The artist made one continuous stroke, which is the entire length.
787/1 = 787
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.