Factors of 435
Factors of 435 are numbers that, when multiplied in pairs give the product as 435. It has a total of 8 factors of which 435 is the biggest factor and the positive factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. The Pair Factors of 435 are (1, 435), (3, 145), (5, 87), (15, 29) and its Prime Factors are 3 × 5 × 29.
- All Factors of 435: 1, 3, 5, 15, 29, 87, 145 and 435
- Negative Factors of 435: -1, -3, -5, -15, -29, -87, -145 and -435
- Prime Factors of 435: 3, 5, 29
- Prime Factorization of 435: 31 × 51 × 291
- Sum of Factors of 435: 720
1. | What Are the Factors of 435? |
2. | Factors of 435 by Prime Factorization |
3. | Factors of 435 in Pairs |
4. | FAQs on Factors of 435 |
![Factors of 435](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-435.png)
What are Factors of 435?
Factors of 435 are pairs of those numbers whose products result in 435. These factors are either prime numbers or composite numbers.
How to Find the Factors of 435?
To find the factors of 435, we will have to find the list of numbers that would divide 435 without leaving any remainder.
- 435/435 = 1; therefore, 435 is a factor of 435.
- 435/5 = 87; therefore, 5 is a factor of 435.
☛ Also Check:
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 9 - The factors of 9 are 1, 3, 9
Factors of 435 by Prime Factorization
- 435 ÷ 3 = 145
Further dividing 145 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 145 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 435 can be written as 31 × 51 × 291 where 3, 5, 29 are prime.
Factors of 435 in Pairs
Pair factors of 435 are the pairs of numbers that when multiplied give the product 435. The factors of 435 in pairs are:
- 1 × 435 = (1, 435)
- 3 × 145 = (3, 145)
- 5 × 87 = (5, 87)
- 15 × 29 = (15, 29)
Negative pair factors of 435 are:
- -1 × -435 = (-1, -435)
- -3 × -145 = (-3, -145)
- -5 × -87 = (-5, -87)
- -15 × -29 = (-15, -29)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 435 Solved Examples
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Example 1: How many factors are there for 435?
Solution:
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. Therefore, 435 has 8 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 435 and 390.
Solution:
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435 and factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390.
Therefore, the Least Common Multiple of 435 and 390 is 11310 and Highest Common Factor (HCF) of 435 and 390 is 15. -
Example 3: Find if 1, 15, 29, 87 and 254 are factors of 435.
Solution:
When we divide 435 by 254 it leaves a remainder. Therefore, the number 254 is not a factor of 435. All numbers except 254 are factors of 435.
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Example 4: Find the product of all the prime factors of 435.
Solution:
Since, the prime factors of 435 are 3, 5, 29. Therefore, the product of prime factors = 3 × 5 × 29 = 435.
FAQs on Factors of 435
What are the Factors of 435?
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435 and its negative factors are -1, -3, -5, -15, -29, -87, -145, -435.
What is the Sum of all Factors of 435?
Sum of all factors of 435 = (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (291 + 1 - 1)/(29 - 1) = 720
What Numbers are the Prime Factors of 435?
The prime factors of 435 are 3, 5, 29.
What is the Greatest Common Factor of 435 and 273?
The factors of 435 and 273 are 1, 3, 5, 15, 29, 87, 145, 435 and 1, 3, 7, 13, 21, 39, 91, 273 respectively.
Common factors of 435 and 273 are [1, 3].
Hence, the Greatest Common Factor of 435 and 273 is 3.
How Many Factors of 435 are also common to the Factors of 386?
Since, the factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435 and factors of 386 are 1, 2, 193, 386. Hence, 435 and 386 have only one common factor which is 1. Therefore, 435 and 386 are co-prime.
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