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 1715, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1715 evenly are known as factors of 1715.
A factor of 1715 is a number that divides the number without remainder.
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, and 1715.
Negative factors of 1715: -1, -5, -7, -35, -49, -245, -343, and -1715.
Prime factors of 1715: 5 and 7.
Prime factorization of 1715: 5 × 73.
The sum of factors of 1715: 1 + 5 + 7 + 35 + 49 + 245 + 343 + 1715 = 2400
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 1715. Identifying the numbers which are multiplied to get the number 1715 is the multiplication method.
Step 1: Multiply 1715 by 1, 1715 × 1 = 1715.
Step 2: Check for other numbers that give 1715 after multiplying
5 × 343 = 1715
7 × 245 = 1715
35 × 49 = 1715
Therefore, the positive factor pairs of 1715 are: (1, 1715), (5, 343), (7, 245), (35, 49).
All these factor pairs result in 1715.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1715 by 1, 1715 ÷ 1 = 1715.
Step 2: Continue dividing 1715 by the numbers until the remainder becomes 0.
1715 ÷ 1 = 1715
1715 ÷ 5 = 343
1715 ÷ 7 = 245
1715 ÷ 35 = 49
Therefore, the factors of 1715 are: 1, 5, 7, 35, 49, 245, 343, 1715.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1715 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1715 ÷ 5 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 1715 are 5 and 7.
The prime factorization of 1715 is: 5 × 73.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1715 is divided by 5 to get 343.
Step 2: Now divide 343 by 7 to get 49.
Step 3: Then divide 49 by 7 to get 7.
Step 4: Divide 7 by 7 to get 1. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1715 is: 5 × 73.
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 1715: (1, 1715), (5, 343), (7, 245), and (35, 49).
Negative factor pairs of 1715: (-1, -1715), (-5, -343), (-7, -245), and (-35, -49).
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 7 teams and 1715 apples. How will they divide it equally?
They will get 245 apples each.
To divide the apples equally, we need to divide the total apples with the number of teams.
1715/7 = 245
A rectangular garden's length is 35 meters, and the total area is 1715 square meters. Find the width?
49 meters.
To find the width of the garden, we use the formula,
Area = length × width
1715 = 35 × width
To find the value of width, we need to shift 35 to the left side.
1715/35 = width
Width = 49.
There are 5 boxes and 1715 candies. How many candies will be in each box?
Each box will have 343 candies.
To find the candies in each box, divide the total candies with the number of boxes.
1715/5 = 343
In a conference, there are 1715 participants, and 49 groups. How many participants are there in each group?
There are 35 participants in each group.
Dividing the participants with the total groups, we will get the number of participants in each group.
1715/49 = 35
1715 books need to be arranged in 245 stacks. How many books will go in each stack?
Each stack will have 7 books.
Divide total books with stacks.
1715/245 = 7
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.