Factors of 430
Factors of 430 are numbers that, when multiplied in pairs give the product as 430. There are 8 factors of 430, which are 1, 2, 5, 10, 43, 86, 215, 430. Here, 430 is the biggest factor. The Pair Factors of 430 are (1, 430), (2, 215), (5, 86), (10, 43) and its Prime Factors are 2 × 5 × 43.
- All Factors of 430: 1, 2, 5, 10, 43, 86, 215 and 430
- Negative Factors of 430: -1, -2, -5, -10, -43, -86, -215 and -430
- Prime Factors of 430: 2, 5, 43
- Prime Factorization of 430: 21 × 51 × 431
- Sum of Factors of 430: 792
1. | What Are the Factors of 430? |
2. | Factors of 430 by Prime Factorization |
3. | Factors of 430 in Pairs |
4. | FAQs on Factors of 430 |
What are Factors of 430?
Factors of 430 are pairs of those numbers whose products result in 430. These factors are either prime numbers or composite numbers.
How to Find the Factors of 430?
To find the factors of 430, we will have to find the list of numbers that would divide 430 without leaving any remainder.
- 430/430 = 1; therefore, 430 is a factor of 430.
- 430/86 = 5; therefore, 86 is a factor of 430.
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- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
Factors of 430 by Prime Factorization
- 430 ÷ 2 = 215
Further dividing 215 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 215 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 430 can be written as 21 × 51 × 431 where 2, 5, 43 are prime.
Factors of 430 in Pairs
Pair factors of 430 are the pairs of numbers that when multiplied give the product 430. The factors of 430 in pairs are:
- 1 × 430 = (1, 430)
- 2 × 215 = (2, 215)
- 5 × 86 = (5, 86)
- 10 × 43 = (10, 43)
Negative pair factors of 430 are:
- -1 × -430 = (-1, -430)
- -2 × -215 = (-2, -215)
- -5 × -86 = (-5, -86)
- -10 × -43 = (-10, -43)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 430 Solved Examples
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Example 1: How many factors are there for 430?
Solution:
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. Therefore, 430 has 8 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 430 and 386.
Solution:
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430 and factors of 386 are 1, 2, 193, 386.
Therefore, the Least Common Multiple of 430 and 386 is 82990 and Greatest Common Factor (GCF) of 430 and 386 is 2. -
Example 3: Find if 2, 86, 197, 215 and 430 are factors of 430.
Solution:
When we divide 430 by 197 it leaves a remainder. Therefore, the number 197 is not a factor of 430. All numbers except 197 are factors of 430.
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Example 4: Find the product of all the prime factors of 430.
Solution:
Since, the prime factors of 430 are 2, 5, 43. Therefore, the product of prime factors = 2 × 5 × 43 = 430.
FAQs on Factors of 430
What are the Factors of 430?
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430 and its negative factors are -1, -2, -5, -10, -43, -86, -215, -430.
What is the Sum of all the Factors of 430?
Sum of all factors of 430 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (431 + 1 - 1)/(43 - 1) = 792
What are Prime Factors of 430?
The prime factors of 430 are 2, 5, 43.
What is the Greatest Common Factor of 430 and 82?
The factors of 430 and 82 are 1, 2, 5, 10, 43, 86, 215, 430 and 1, 2, 41, 82 respectively.
Common factors of 430 and 82 are [1, 2].
Hence, the Greatest Common Factor (GCF) of 430 and 82 is 2.
How Many Factors of 282 are also common to the Factors of 430?
Since, the factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430 and the factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.
Hence, [1, 2] are the common factors of 430 and 282.
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