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Factors of 35
Factors of 35 are the list of integers that we can split evenly into 35. It has a total of 4 factors of which 35 is the biggest factor and the positive factors of 35 are 1, 5, 7 and 35. The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).
 Factors of 35: 1, 5, 7 and 35
 Negative Factors of 35: 1, 5, 7 and 35
 Prime Factors of 35: 5, 7
 Prime Factorization of 35: 5 × 7 = 5 × 7
 Sum of Factors of 35: 48
1.  What Are the Factors of 35? 
2.  How to Calculate Factors of 35? 
3.  Factors of 35 by Prime Factorization 
4.  Factors of 35 in Pairs 
5.  Tips And Tricks 
6.  FAQs on Factors of 35 
What are the Factors of 35?
Factors of 35 are all the numbers which are multiplied to get 35 as the product. Factors of 35 are 1, 5, 7, and 35.
How to Calculate the Factors of 35?
Let's learn how to calculate factors of 35.
 Write down the number to be factored. Here the number is 35.
 Find the two numbers whose product gives 35. We know the product of 1 and 35 gives 35.
 Since 35 is an odd number, we cannot express it in terms of 2.
 Since it is a multiple of 5, we know that 5 × 7 = 35.
 We cannot find other numbers such that the product is 35.
Therefore the numbers 1,5, 7, and 35 are the factors of 35.
Explore factors using illustrations and interactive examples
 Factors of 37: The factors of 37 are 1 and 37.
 Factors of 15: The factors of 15 are 1 , 3, 5 and 15.
 Factors of 45: The factors of 45 are 1, 3, 5, 9, 15 and 45.
 Factors of 40: The factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40
 Factors of 25: The factors of 25 are 1, 5 and 25
Factors of 35 by Prime Factorization
Factors of 35 by prime factorization are given by using the following steps.
 Find the smallest prime number by which 35 can be divided without leaving any remainder.
 We see that 35 is divisible by 5.
 We can express 35 as 5 × 7.
We stop the factor tree as we cannot branch further as 5 and 7 are prime numbers. Therefore prime factorization of 35 is 5 × 7
Prime factorization can also be shown by upside down division method:
Factors of 35 in Pairs
The pair of numbers that makes 35 on multiplication are the factors of 35 in pairs.
Positive factorpairs  Negative factorpairs 
( 1, 35)  ( 1, 35) 
(5, 7)  (5, 7) 
Tips and Tricks:
 1 is the smallest factor of every number. Hence, it is a factor of 35.
 35 ends in 5 thus, 5 is one of its factors.
 35 is a semiprime number, it can be expressed as a product of two prime numbers.
Factors of 35 Solved Examples

Example 1: Jack went to a book outlet. He wanted to buy 35 books. If he can buy only 5 books at once, how many times does he have to go to book outlet to buy all the books?
Solution:
Jack can buy only 5 books at once. The pair factor of 5 which gives 35 as the product will give the answer to our problem.
We know that 5 × _____ = 35. Therefore, Jack will go 7 times to the book outlet to buy all the books. 
Example 2: Justin has 35 pizza boxes. In how many ways can he group the pizza box such that each stack gets equal pizza boxes?
Solution:
Justin has 35 pizzas. He can group them in 4 ways.
He can have a stack of 1 pizza box and 35 such groups.
He may prefer having stack of 5 pizza boxes and 7 such groups.
He could also have stack of 7 pizza boxes and 5 such groups.
He could have stack of 35 pizza boxes and only 1 group. Thus he can stack the pizza boxes in 4 ways. 
Example 3: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 35 and 53.
Solution:
The factors of 35 are 1, 5, 7, 35 and factors of 53 are 1, 53.
Therefore, the Least Common Multiple (LCM) of 35 and 53 is 1855 and Greatest Common Divisor (GCD) of 35 and 53 is 1.
FAQs on Factors of 35
What are the Factors of 35?
The factors of 35 are 1, 5, 7, 35 and its negative factors are 1, 5, 7, 35.
What is the Greatest Common Factor of 35 and 33?
The factors of 35 are 1, 5, 7, 35 and the factors of 33 are 1, 3, 11, 33. 35 and 33 have only one common factor which is 1. This implies that 35 and 33 are coprime.
Hence, the Greatest Common Factor (GCF) of 35 and 33 is 1.
What are the Prime Factors of 35?
The prime factors of 35 are 5, 7.
What is the Sum of the Factors of 35?
Factors of 35 are 1, 5, 7, 35 and, the sum of all these factors is 1 + 5 + 7 + 35 = 48
What are the Common Factors of 35 and 11?
Since, the factors of 35 are 1, 5, 7, 35 and factors of 11 are 1, 11. Hence, 35 and 11 have only one common factor which is 1. Therefore, 35 and 11 are coprime.
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