Last updated on May 30th, 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 1207, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1207 evenly are known as factors of 1207.
A factor of 1207 is a number that divides the number without remainder.
The factors of 1207 are 1, 17, 71, and 1207.
Negative factors of 1207: -1, -17, -71, and -1207.
Prime factors of 1207: 17 and 71.
Prime factorization of 1207: 17 × 71.
The sum of factors of 1207: 1 + 17 + 71 + 1207 = 1296
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 1207. Identifying the numbers which are multiplied to get the number 1207 is the multiplication method.
Step 1: Multiply 1207 by 1, 1207 × 1 = 1207.
Step 2: Check for other numbers that give 1207 after multiplying 17 × 71 = 1207
Therefore, the positive factor pairs of 1207 are: (1, 1207) and (17, 71).
All these factor pairs result in 1207.
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 a simple division method
Step 1: Divide 1207 by 1, 1207 ÷ 1 = 1207.
Step 2: Continue dividing 1207 by the numbers until the remainder becomes 0.
1207 ÷ 1 = 1207
1207 ÷ 17 = 71
1207 ÷ 71 = 17
1207 ÷ 1207 = 1
Therefore, the factors of 1207 are: 1, 17, 71, and 1207.
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 1207 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1207 ÷ 17 = 71
71 ÷ 71 = 1
The prime factors of 1207 are 17 and 71.
The prime factorization of 1207 is: 17 × 71.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1207 is divided by 17 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1207 is: 17 × 71.
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 1207: (1, 1207) and (17, 71).
Negative factor pairs of 1207: (-1, -1207) and (-17, -71).
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 71 students and 1207 books. How will they distribute the books equally?
They will get 17 books each.
To distribute the books equally, we need to divide the total books by the number of students.
1207/71 = 17
A garden is rectangular, the length of the garden is 17 meters, and the total area is 1207 square meters. Find the width?
71 meters.
To find the width of the garden, we use the formula, Area = length × width
1207 = 17 × width
To find the value of width, we need to shift 17 to the left side.
1207/17 = width
Width = 71.
There are 17 racks and 1207 CDs. How many CDs will be in each rack?
Each rack will have 71 CDs.
To find the CDs in each rack, divide the total CDs by the number of racks.
1207/17 = 71
In a conference, there are 1207 attendees, and 17 groups. How many attendees are there in each group?
There are 71 attendees in each group.
Dividing the attendees by the total groups, we will get the number of attendees in each group.
1207/17 = 71
A library has 1207 books to be arranged in 71 shelves. How many books will go on each shelf?
Each of the shelves has 17 books.
Divide total books by shelves.
1207/71 = 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.