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 factor-pairs | Negative factor-pairs |
| ( 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 semi-prime number, it can be expressed as a product of two prime numbers.
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 co-prime.
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 co-prime.