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164 LearnersLast updated on December 9th, 2024
Factors of 1009
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 1009 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 1009?
Factors are whole numbers that, when multiplied, the product is equal to 1009.
1009 is a prime number, its only factors are 1 and 1009. For every factor, there is a corresponding negative factor, for 1009, the negative factors -1, -1009.
How to find the factors of 1009?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 1009.
Step 2: All the pairs found represent the factors of 1009.
1009 is a prime number. The only pair of numbers whose product is 1009 is 1×1009=1009.
The factors of 1009 are 1 and 1009 only.
Finding Factors by Division Method
Step 1: Start by dividing 1009 with the smallest number, and check the remainders.
Step 2: 1009 is prime, therefore the only divisors it has are 1 and 1009. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 1009 are 1 and 1009 only.
Prime factors and prime factorization
— 1009 is a prime number.
— The prime factorization of 1009 is 1009 times 1.
— Factors of 1009 are 1,1009
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 1009, only one branch will be extended as there are no other factors of the number.
Common mistakes and how to avoid them in the factors of 1009
Factors of 1009 examples
Problem 1
Is 7 a factor of 1009?
Explanation
Problem 2
Is 1009 a prime number?
Explanation
Problem 3
Which of the following is a factor of 1009: 1, 10, 100, 1009?
Explanation
FAQs on Factors of 1009
1. Is 1009 a twin prime?
2. What is a prime number that follows 1009?
3.What are the prime factors of 99?
4.What is the cube of 1009 ?
5.Is the cube root of 1009 rational?
Important Glossaries for Factors of 1009
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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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.
