Factors of 424
Factors of 424 are integers that can be divided evenly into 424. There are 8 factors of 424 of which 424 itself is the biggest factor and its positive factors are 1, 2, 4, 8, 53, 106, 212, 424. The sum of all factors of 424 is 810 and its factors in Pairs are (1, 424), (2, 212), (4, 106), (8, 53).
- All Factors of 424: 1, 2, 4, 8, 53, 106, 212 and 424
- Negative Factors of 424: -1, -2, -4, -8, -53, -106, -212 and -424
- Prime Factors of 424: 2, 53
- Prime Factorization of 424: 23 × 531
- Sum of Factors of 424: 810
1. | What Are the Factors of 424? |
2. | Factors of 424 by Prime Factorization |
3. | Factors of 424 in Pairs |
4. | FAQs on Factors of 424 |
What are Factors of 424?
Factors of 424 are pairs of those numbers whose products result in 424. These factors are either prime numbers or composite numbers.
How to Find the Factors of 424?
To find the factors of 424, we will have to find the list of numbers that would divide 424 without leaving any remainder.
- 424/8 = 53; therefore, 8 is a factor of 424 and 53 is also a factor of 424.
- 424/106 = 4; therefore, 106 is a factor of 424 and 4 is also a factor of 424.
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- Factors of 65 - The factors of 65 are 1, 5, 13, 65
Factors of 424 by Prime Factorization
- 424 ÷ 2 = 212
- 212 ÷ 2 = 106
- 106 ÷ 2 = 53
Further dividing 53 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 424 can be written as 23 × 531 where 2, 53 are prime.
Factors of 424 in Pairs
Pair factors of 424 are the pairs of numbers that when multiplied give the product 424. The factors of 424 in pairs are:
- 1 × 424 = (1, 424)
- 2 × 212 = (2, 212)
- 4 × 106 = (4, 106)
- 8 × 53 = (8, 53)
Negative pair factors of 424 are:
- -1 × -424 = (-1, -424)
- -2 × -212 = (-2, -212)
- -4 × -106 = (-4, -106)
- -8 × -53 = (-8, -53)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 424 Solved Examples
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Example 1: How many factors are there for 424?
Solution:
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. Therefore, 424 has 8 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 424 and 255.
Solution:
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424 and factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.
Therefore, the Least Common Multiple of 424 and 255 is 108120 and Greatest Common Divisor (GCD) of 424 and 255 is 1. -
Example 3: Find if 1, 2, 53, 382 and 424 are factors of 424.
Solution:
When we divide 424 by 382 it leaves a remainder. Therefore, the number 382 is not a factor of 424. All numbers except 382 are factors of 424.
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Example 4: Find the product of all the prime factors of 424.
Solution:
Since, the prime factors of 424 are 2, 53. Therefore, the product of prime factors = 2 × 53 = 106.
FAQs on Factors of 424
What are the Factors of 424?
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424 and its negative factors are -1, -2, -4, -8, -53, -106, -212, -424.
What is the Sum of the Factors of 424?
Sum of all factors of 424 = (23 + 1 - 1)/(2 - 1) × (531 + 1 - 1)/(53 - 1) = 810
What numbers are the Pair Factors of 424?
The pair factors of 424 are (1, 424), (2, 212), (4, 106), (8, 53).
What is the Greatest Common Factor of 424 and 273?
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424 and the factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273. 424 and 273 have only one common factor which is 1. This implies that 424 and 273 are co-prime.
Hence, the Greatest Common Factor (GCF) of 424 and 273 is 1.
How Many Factors of 424 are also Factors of 363?
Since, the factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424 and factors of 363 are 1, 3, 11, 33, 121, 363. Hence, 424 and 363 have only one common factor which is 1. Therefore, 424 and 363 are co-prime.
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