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 1700, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1700 evenly are known as factors of 1700.
A factor of 1700 is a number that divides the number without remainder.
The factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, and 1700.
Negative factors of 1700: -1, -2, -4, -5, -10, -17, -20, -25, -34, -50, -68, -85, -100, -170, -340, -425, -850, and -1700.
Prime factors of 1700: 2, 5, and 17.
Prime factorization of 1700: 2² × 5² × 17.
The sum of factors of 1700: 1 + 2 + 4 + 5 + 10 + 17 + 20 + 25 + 34 + 50 + 68 + 85 + 100 + 170 + 340 + 425 + 850 + 1700 = 3916
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 1700. Identifying the numbers which are multiplied to get the number 1700 is the multiplication method.
Step 1: Multiply 1700 by 1, 1700 × 1 = 1700.
Step 2: Check for other numbers that give 1700 after multiplying
2 × 850 = 1700
4 × 425 = 1700
5 × 340 = 1700
10 × 170 = 1700
17 × 100 = 1700
20 × 85 = 1700
25 × 68 = 1700
34 × 50 = 1700
Therefore, the positive factor pairs of 1700 are: (1, 1700), (2, 850), (4, 425), (5, 340), (10, 170), (17, 100), (20, 85), (25, 68), and (34, 50).
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 simple division method
Step 1: Divide 1700 by 1, 1700 ÷ 1 = 1700.
Step 2: Continue dividing 1700 by the numbers until the remainder becomes 0.
1700 ÷ 1 = 1700
1700 ÷ 2 = 850
1700 ÷ 4 = 425
1700 ÷ 5 = 340
1700 ÷ 10 = 170
1700 ÷ 17 = 100
1700 ÷ 20 = 85
1700 ÷ 25 = 68
1700 ÷ 34 = 50
Therefore, the factors of 1700 are: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700.
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1700 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1700 ÷ 2 = 850
850 ÷ 2 = 425
425 ÷ 5 = 85
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 1700 are 2, 5, and 17.
The prime factorization of 1700 is: 2² × 5² × 17.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1700 is divided by 2 to get 850.
Step 2: Now divide 850 by 2 to get 425.
Step 3: Then divide 425 by 5 to get 85.
Step 4: Divide 85 by 5 to get 17. Here, 17 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1700 is: 2² × 5² × 17.
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 1700: (1, 1700), (2, 850), (4, 425), (5, 340), (10, 170), (17, 100), (20, 85), (25, 68), (34, 50).
Negative factor pairs of 1700: (-1, -1700), (-2, -850), (-4, -425), (-5, -340), (-10, -170), (-17, -100), (-20, -85), (-25, -68), (-34, -50).
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 34 students and 1700 candies. How will they divide it equally?
They will get 50 candies each.
To divide the candies equally, we need to divide the total candies with the number of students.
1700/34 = 50
A rectangular plot has a length of 25 meters and a total area of 1700 square meters. Find the width?
68 meters.
To find the width of the plot, we use the formula,
Area = length × width
1700 = 25 × width
To find the value of width, we need to shift 25 to the left side.
1700/25 = width
Width = 68.
There are 85 boxes and 1700 marbles. How many marbles will be in each box?
Each box will have 20 marbles.
To find the marbles in each box, divide the total marbles with the boxes.
1700/85 = 20
In a school, there are 1700 students, and 50 classes. How many students are there in each class?
There are 34 students in each class.
Dividing the students with the total classes, we will get the number of students in each class.
1700/50 = 34
1700 apples need to be packed in 100 baskets. How many apples will go in each basket?
Each of the baskets has 17 apples.
Divide total apples with baskets.
1700/100 = 17
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.