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 1967, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1967 evenly are known as factors of 1967.
A factor of 1967 is a number that divides the number without remainder.
The factors of 1967 are 1 and 1967.
Negative factors of 1967: -1 and -1967.
Prime factors of 1967: 1967 itself, as it is a prime number.
Prime factorization of 1967: 1967.
The sum of factors of 1967: 1 + 1967 = 1968
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 1967.
Since 1967 is a prime number, there are no pairs of numbers other than 1 and the number itself.
Therefore, the positive factor pair of 1967 is: (1, 1967).
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 the following simple division method
Step 1: Divide 1967 by 1, 1967 ÷ 1 = 1967.
Step 2: Check if 1967 is divisible by any other numbers. Since 1967 is not divisible by any number other than 1 and itself, the factors of 1967 are: 1 and 1967.
The factors can be found by dividing with prime numbers. However, since 1967 is a prime number, it only has itself as its prime factor.
Using Prime Factorization: In this process, since 1967 is a prime number, the prime factorization is just 1967 itself.
The factor tree is a graphical representation of breaking down any number into prime factors. Since 1967 is a prime number, the factor tree is simple and consists only of the number itself. The prime factorization of 1967 is simply 1967.
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 pair of 1967: (1, 1967).
Negative factor pair of 1967: (-1, -1967).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 1967 students needs to be divided into teams. How can they be divided into equal teams?
They can only be divided into one team of 1967 students or 1967 teams of one student each.
Since 1967 is a prime number, it cannot be divided evenly into smaller whole number groups other than 1 and 1967 itself.
A charity event has 1967 chairs, and they want to arrange them in rows. What are the possible row arrangements?
They can arrange them in 1 row of 1967 chairs or 1967 rows of 1 chair each.
Since 1967 is a prime number, it cannot be arranged in equal rows of more than 1 chair per row other than the entire set of chairs in one row.
A library has 1967 books and wants to categorize them equally into sections. How can they do this?
They can have 1967 sections with 1 book each or 1 section with all 1967 books.
As 1967 is a prime number, it can only be divided into sections of size 1 or one large section.
A marathon has 1967 participants. How should they line up if each line should have the same number of participants?
They can line up in 1 line of 1967 participants or 1967 lines of 1 participant each.
Because 1967 is a prime number, the only equal ways to line up are one long line or multiple lines of a single participant.
1967 pieces of fruit are to be packed into boxes. How many boxes can they use if each box must contain the same number of pieces?
They can use 1 box with 1967 pieces or 1967 boxes with 1 piece each.
Being a prime number, 1967 can only be divided into equal groups of 1 or its entirety in a single group.
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.