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 1678, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1678 evenly are known as factors of 1678.
A factor of 1678 is a number that divides the number without remainder.
The factors of 1678 are 1, 2, 839, and 1678.
Negative factors of 1678: -1, -2, -839, and -1678.
Prime factors of 1678: 2 and 839.
Prime factorization of 1678: 2 × 839.
The sum of factors of 1678: 1 + 2 + 839 + 1678 = 2520
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 1678. Identifying the numbers which are multiplied to get the number 1678 is the multiplication method.
Step 1: Multiply 1678 by 1, 1678 × 1 = 1678.
Step 2: Check for other numbers that give 1678 after multiplying 2 × 839 = 1678
Therefore, the positive factor pairs of 1678 are: (1, 1678), (2, 839). All these factor pairs result in 1678.
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 1678 by 1, 1678 ÷ 1 = 1678.
Step 2: Continue dividing 1678 by the numbers until the remainder becomes 0.
1678 ÷ 1 = 1678
1678 ÷ 2 = 839
Therefore, the factors of 1678 are: 1, 2, 839, 1678.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1678 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1678 ÷ 2 = 839
839 is a prime number, so we stop here.
The prime factors of 1678 are 2 and 839.
The prime factorization of 1678 is: 2 × 839.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1678 is divided by 2 to get 839. 839 is a prime number and cannot be divided anymore. So, the prime factorization of 1678 is: 2 × 839.
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 1678: (1, 1678), (2, 839).
Negative factor pairs of 1678: (-1, -1678), (-2, -839).
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 2 teams and 1678 points. How will they divide the points equally?
They will get 839 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1678/2 = 839
A fence is 1678 meters long and needs to be divided into segments of 839 meters each. How many segments will there be?
There will be 2 segments.
To find the number of segments, we divide the total length of the fence by the length of each segment.
1678/839 = 2
There are 1678 apples to be packed into 839 boxes. How many apples will be in each box?
Each box will have 2 apples.
To find the apples in each box, divide the total apples by the boxes.
1678/839 = 2
A classroom has 1678 chairs and 2 rows. How many chairs are there in each row?
There are 839 chairs in each row.
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1678/2 = 839
1678 plants need to be arranged in 839 pots. How many plants will go in each pot?
Each pot will have 2 plants.
Divide total plants by pots.
1678/839 = 2
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.