133 LearnersLast updated on May 30th, 2025
Factors of 1207
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.
What are the Factors of 1207?
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
How to Find Factors of 1207?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1207
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1207, 1 and 1207 are also factors.
Mistake 2
Missing Negative Factors
We have used only positive factors many times. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1207 consist of -1, -17, -71, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1207/1.5 = 804.666, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1207 are prime numbers.
For example, 17 and 71 are the prime factors of 1207, but it has other factors like 1 and 1207.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1207 as 17 × 71 and missing all the key factors.
Factors of 1207 Examples
Problem 1
There are 71 students and 1207 books. How will they distribute the books equally?
They will get 17 books each.
Explanation
To distribute the books equally, we need to divide the total books by the number of students.
1207/71 = 17
Problem 2
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.
Explanation
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.
Problem 3
There are 17 racks and 1207 CDs. How many CDs will be in each rack?
Each rack will have 71 CDs.
Explanation
To find the CDs in each rack, divide the total CDs by the number of racks.
1207/17 = 71
Problem 4
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.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
1207/17 = 71
Problem 5
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.
Explanation
Divide total books by shelves.
1207/71 = 17
FAQs on Factors of 1207
1.What are the factors of 1207?
2.Mention the prime factors of 1207.
3.Is 1207 a multiple of 17?
4.Mention the factor pairs of 1207?
5.What is the square of 1207?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1207?
7.What are some fun ways kids in Thailand can practice Factors of 1207 with numbers?
8.What role do numbers and Factors of 1207 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1207 skills?
Important Glossaries for Factors of 1207
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1207 are 1, 17, 71, and 1207.
- Prime factors: The factors which are prime numbers. For example, 17 and 71 are prime factors of 1207.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1207 are (1, 1207) and (17, 71).
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to the given number. For example, using 17 × 71 to find factors of 1207.
- Division method: A technique to determine factors by dividing the number by possible factors until the remainder is zero. For example, dividing 1207 by its factors like 1, 17, 71, and 1207.
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About BrightChamps in Thailand
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
