Last updated on May 26th, 2025
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 1723, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1723 evenly are known as factors of 1723.
A factor of 1723 is a number that divides the number without remainder.
The factors of 1723 are 1 and 1723 since 1723 is a prime number.
Negative factors of 1723: -1 and -1723.
Prime factors of 1723: 1723 itself, as it is a prime number.
The sum of factors of 1723: 1 + 1723 = 1724
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 1723. Since 1723 is a prime number, the multiplication method will show:
Step 1: Multiply 1723 by 1, 1723 × 1 = 1723.
Therefore, the only positive factor pair of 1723 is: (1, 1723).
For every positive factor, there is a negative factor.
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 1723 by 1, 1723 ÷ 1 = 1723.
Since 1723 is a prime number, no other divisions will result in whole numbers without a remainder.
Therefore, the factors of 1723 are: 1 and 1723.
Since 1723 is a prime number, it does not have a prime factorization that involves smaller prime numbers. The prime factorization of 1723 is simply the number itself: 1723.
Two numbers that are multiplied to give a specific number are called factor pairs.
Both positive and negative factors constitute factor pairs.
Positive factor pair of 1723: (1, 1723).
Negative factor pair of 1723: (-1, -1723).
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 are 1723 apples. If they are packed into boxes with 1 apple each, how many boxes are needed?
1723 boxes are needed.
To pack the apples into boxes with 1 apple each, the number of boxes required is equal to the number of apples:
1723/1 = 1723.
A straight road is 1723 meters long and has lamp posts at both ends. How many lamp posts are needed if they are placed 1 meter apart?
1724 lamp posts.
Lamp posts are placed 1 meter apart with one at each end.
Therefore, 1723 meters require
1723+1 = 1724 lamp posts.
A ribbon is 1723 meters long. If it is cut into pieces of 1 meter each, how many pieces will there be?
There will be 1723 pieces.
To cut the ribbon into 1-meter pieces, you divide the total length by the piece length:
1723/1 = 1723.
There are 1723 students and each student gets 1 notebook. How many notebooks are distributed?
1723 notebooks are distributed.
Each student receives 1 notebook, so the number of notebooks distributed is equal to the number of students:
1723.
A package contains 1723 identical items. If you take out 1 item, how many items remain?
1722 items remain.
If you remove 1 item from 1723, the remaining number of items is:
1723 - 1 = 1722.
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.