Table Of Contents
206 LearnersLast updated on December 10th, 2024
Factors of 35
Do you find it hard to find the factors? The factors of 35 are numbers that divide 35 completely are the factors of 35. In real life, factors are helpful in scenarios like packing boxes and arranging seats. Here, this article tells us more about the factors of 35.
What are the Factors of 35
The factors of 35 are 1, 5, 7 and 35
Negative Factors: For each positive factor, there will always be a negative factor.
Negative factors: -1, -5, -7, -35
Prime Factors: These are the prime numbers themselves, having two factors
Prime factor: 5, 7
Prime Factorization: Prime factorization expresses the prime factors in its exponential form
It is expressed as 51 × 71
An overview of factors of 35
|
Positive Factors |
1, 5, 7, 35 |
|
Negative Factors |
-1, -5, -7, -35 |
|
Prime Factors |
5,7 |
|
Prime Factorization |
51 × 71 |
How to Find the Factors of 35
You can use various methods to find the factors of 35. Given below are the methods that can be used:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
In the multiplication method, we find the pairs of numbers that give 35 as the product.
Step 1: Find all the possible number that gives 35 as the product when paired together.
Step 2: These numbers are the factors of 35.
Step 3: Make a list of numbers that are grouped to give 35 as the product.
A list of numbers whose products are 35 is given below:
1 × 35 = 35
5 × 7 = 35
Finding Factors Using Division Method
The division method finds the divisor and the quotient. These are the factors of 35
Step-by-step process
Step 1: Always start the division of any number by 1. Both the number and 1 will be its factor. Example: 35÷1 = 35
Step 2: Move to the next integer and continue this process until you find the numbers that completely divide 35
Overview of Factors of 35 using the division method
Prime Factors and Prime Factorization
Prime factorization is the way of expressing the product of prime numbers in its exponential form.
Prime Factors of 35
There are two prime factors of 35
Prime factors of 35: 5, 7
Steps to find the prime factors of 35
Step 1: Start the division by 5
35÷5 = 7
Step 2: Now divide 7 by 7
7÷7 = 1
For the prime factorization method, the product of prime factors of 35 is expressed as 51 × 71
Factor Tree
Factor tree visually represents the breaking down of a number into its prime factor.
Factor Tree for 35:
Factor Pairs
Factor pairs of 35 are a team of 2 factors grouped together. Their product will be equal to the number, that is 35.
Positive Factor Pairs: (1,35), (5,7)
Negative Factor Pairs: (-1,-35), (-5,-7)
Common Mistakes and How to Avoid Them in Factors of 35
Factors of 35 Examples
Problem 1
Can you express 35 as a perfect square?
Explanation
Problem 2
What is the GCF of 35 and 45?
Explanation
Problem 3
Is 3 identified as a non-factor of 35?
Explanation
Problem 4
Product of factors of 35
Explanation
FAQs on Factors of 35
1.Is 35 a factor of 6?
2.What is 35 a prime factor?
3.What is the factor tree of 35?
4.Is 35 a factor of 24?
5.Is 35 a factor of 70?
Important Glossaries for Factors of 35
- Divisor: Number that divides another number
- Quotient: The number you get when you divide a number with another.
- Factors: Numbers that divide the given number, leaving zero as the remainder.
- GCF: The Greatest Common Factor is the largest possible number seen in two or more numbers.
Explore More numbers
Previous to Factors of 35
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.
