Last updated on May 26th, 2025
Factors are the 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 1770, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1770 evenly are known as factors of 1770.
A factor of 1770 is a number that divides the number without a remainder.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, and 1770.
Negative factors of 1770: -1, -2, -3, -5, -6, -10, -15, -30, -59, -118, -177, -295, -354, -590, -885, and -1770.
Prime factors of 1770: 2, 3, 5, and 59.
Prime factorization of 1770: 2 × 3 × 5 × 59.
The sum of factors of 1770: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 59 + 118 + 177 + 295 + 354 + 590 + 885 + 1770 = 4320
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 1770. Identifying the numbers which are multiplied to get the number 1770 is the multiplication method.
Step 1: Multiply 1770 by 1, 1770 × 1 = 1770.
Step 2: Check for other numbers that give 1770 after multiplying
2 × 885 = 1770
3 × 590 = 1770
5 × 354 = 1770
6 × 295 = 1770
10 × 177 = 1770
15 × 118 = 1770
30 × 59 = 1770
Therefore, the positive factor pairs of 1770 are: (1, 1770), (2, 885), (3, 590), (5, 354), (6, 295), (10, 177), (15, 118), and (30, 59).
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 1770 by 1, 1770 ÷ 1 = 1770.
Step 2: Continue dividing 1770 by the numbers until the remainder becomes 0.
1770 ÷ 1 = 1770
1770 ÷ 2 = 885
1770 ÷ 3 = 590
1770 ÷ 5 = 354
1770 ÷ 6 = 295
1770 ÷ 10 = 177
1770 ÷ 15 = 118
1770 ÷ 30 = 59
Therefore, the factors of 1770 are: 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, and 1770.
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 1770 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1770 ÷ 2 = 885
885 ÷ 3 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
The prime factors of 1770 are 2, 3, 5, and 59.
The prime factorization of 1770 is: 2 × 3 × 5 × 59.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1770 is divided by 2 to get 885.
Step 2: Now divide 885 by 3 to get 295.
Step 3: Then divide 295 by 5 to get 59. Here, 59 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1770 is: 2 × 3 × 5 × 59.
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 1770: (1, 1770), (2, 885), (3, 590), (5, 354), (6, 295), (10, 177), (15, 118), and (30, 59).
Negative factor pairs of 1770: (-1, -1770), (-2, -885), (-3, -590), (-5, -354), (-6, -295), (-10, -177), (-15, -118), and (-30, -59).
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 30 students, and each has 59 candies. How many candies are there in total?
There are 1770 candies in total.
To find the total candies, we multiply the number of students by the number of candies each student has.
30 × 59 = 1770
A garden is rectangular, the width of the garden is 10 meters and the total area is 1770 square meters. Find the length?
177 meters.
To find the length of the garden, we use the formula,
Area = length × width
1770 = length × 10
To find the value of the length, we need to divide 1770 by 10.
1770/10 = length
Length = 177.
There are 1770 toys and 59 boxes. How many toys will be in each box?
Each box will have 30 toys.
To find the toys in each box, divide the total toys by the number of boxes.
1770/59 = 30
In a company, there are 1770 employees, and 6 departments. How many employees are there in each department?
There are 295 employees in each department.
Dividing the employees by the total departments, we will get the number of employees in each department.
1770/6 = 295
1770 chairs need to be arranged in 15 sections. How many chairs will go in each section?
Each of the sections has 118 chairs.
Divide total chairs by sections.
1770/15 = 118
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.