Last updated on May 26th, 2025
Factors are 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 1699, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1699 evenly are known as factors of 1699.
A factor of 1699 is a number that divides the number without a remainder.
Since 1699 is a prime number, it has only two factors: 1 and 1699.
Negative factors of 1699: -1 and -1699.
Prime factors of 1699: 1699 itself as it is a prime number.
Prime factorization of 1699: 1699 (since it is prime).
The sum of factors of 1699: 1 + 1699 = 1700
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 1699. Since 1699 is a prime number, the only multiplication that gives 1699 is:
Step 1: Multiply 1699 by 1, 1699 × 1 = 1699.
Therefore, the positive factor pair of 1699 is: (1, 1699).
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 which result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1699 by 1, 1699 ÷ 1 = 1699.
Step 2: Verify that 1699 is not divisible by any number other than 1 and 1699 itself.
Therefore, the factors of 1699 are: 1 and 1699.
The factors can be found by dividing with prime numbers. Since 1699 is a prime number, it cannot be broken down further into other prime factors. The prime factorization of 1699 is: 1699.
A factor tree is a graphical representation of breaking down any number into prime factors. However, since 1699 is a prime number, it does not have a factor tree other than itself and 1.
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 1699: (1, 1699).
Negative factor pair of 1699: (-1, -1699).
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 1,699 marbles. How can you distribute them evenly among a group of students without any remainder?
You can either distribute them to one student who gets all 1,699 marbles, or each student gets one marble.
1699 is a prime number, so it can only be divided by 1 and itself without a remainder.
Thus, you can either give all marbles to one student or give one marble to each of 1,699 students.
A farmer has 1,699 apples and wants to arrange them in rows such that each row has the same number of apples. How many apples can be in each row?
There can be 1,699 apples in one row or 1 apple in each of 1,699 rows.
Since 1699 is a prime number, it can only be divided evenly by 1 and itself, allowing only these two options.
A library has 1,699 books and wants to store them on shelves with the same number of books per shelf. How many books can each shelf have?
Each shelf can have 1,699 books in one shelf or 1 book per shelf if there are 1,699 shelves.
1699 is a prime number, so it can only be divided by 1 and itself without a remainder, resulting in these two possibilities.
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.