116 LearnersLast updated on May 26th, 2025
Factors of 1007
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 1007, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1007?
The numbers that divide 1007 evenly are known as factors of 1007.
A factor of 1007 is a number that divides the number without a remainder.
The factors of 1007 are 1, 19, 53, and 1007.
Negative factors of 1007: -1, -19, -53, and -1007.
Prime factors of 1007: 19 and 53.
Prime factorization of 1007: 19 × 53.
The sum of factors of 1007: 1 + 19 + 53 + 1007 = 1080
How to Find Factors of 1007?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1007. Identifying the numbers which are multiplied to get the number 1007 is the multiplication method.
Step 1: Multiply 1007 by 1, 1007 × 1 = 1007.
Step 2: Check for other numbers that give 1007 after multiplying 19 × 53 = 1007
Therefore, the positive factor pairs of 1007 are: (1, 1007) and (19, 53).
All these factor pairs result in 1007.
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 1007 by 1, 1007 ÷ 1 = 1007.
Step 2: Continue dividing 1007 by the numbers until the remainder becomes 0.
1007 ÷ 1 = 1007
1007 ÷ 19 = 53
Therefore, the factors of 1007 are: 1, 19, 53, 1007.
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 1007 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1007 ÷ 19 = 53
53 ÷ 53 = 1
The prime factors of 1007 are 19 and 53.
The prime factorization of 1007 is: 19 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1007 is divided by 19 to get 53.
Step 2: Now divide 53 by 53 to get 1. Here, 53 is the smallest prime number and cannot be divided anymore. So, the prime factorization of 1007 is: 19 × 53.
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 1007: (1, 1007) and (19, 53).
Negative factor pairs of 1007: (-1, -1007) and (-19, -53).
Common Mistakes and How to Avoid Them in Factors of 1007
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 1007, 1 and 1007 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1007 consist of -1, -19, -53, etc.
Mistake 3
Including the Fraction
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 1007/1.5 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 1007 are prime numbers.
For example, 19 and 53 are the prime factors of 1007, but it has other factors like 1 and 1007.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1007 as 19 × 53 and missing all the key factors.
Factors of 1007 Examples
Problem 1
There are 19 teams and 1007 fans. How will they distribute the fans equally among the teams?
They will have 53 fans each.
Explanation
To distribute the fans equally, we need to divide the total fans by the number of teams.
1007/19 = 53
Problem 2
A rectangular painting has a length of 53 cm and a total area of 1007 square cm. Find the width.
19 cm.
Explanation
To find the width of the painting, we use the formula,
Area = length × width
1007 = 53 × width
To find the value of width, we need to shift 53 to the left side.
1007/53 = width
Width = 19.
Problem 3
There are 53 boxes and 1007 candies. How many candies will be in each box?
Each box will have 19 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
1007/53 = 19
Problem 4
In a competition, there are 1007 participants, and 19 groups. How many participants are there in each group?
There are 53 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1007/19 = 53
Problem 5
1007 books need to be arranged in 19 shelves. How many books will go on each shelf?
Each of the shelves has 53 books.
Explanation
Divide total books by shelves.
1007/19 = 53
FAQs on Factors of 1007
1.What are the factors of 1007?
2.Mention the prime factors of 1007.
3.Is 1007 a multiple of 19?
4.Mention the factor pairs of 1007.
5.What is the square of 1007?
6.How can children in Oman use numbers in everyday life to understand Factors of 1007?
7.What are some fun ways kids in Oman can practice Factors of 1007 with numbers?
8.What role do numbers and Factors of 1007 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1007 skills?
Important Glossaries for Factor of 1007
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1007 are 1, 19, 53, and 1007.
- Prime factors: The factors which are prime numbers. For example, 19 and 53 are prime factors of 1007.
- 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 1007 are (1, 1007) and (19, 53).
- Prime factorization: The process of breaking down a composite number into its prime factors. For example, the prime factorization of 1007 is 19 × 53.
- Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 1007 are -1, -19, -53, and -1007.
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About BrightChamps in Oman
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.
