Factors of 426
Factors of 426 are the list of integers that we can split evenly into 426. There are overall 8 factors of 426 among which 426 is the biggest factor and 1, 2, 3, 6, 71, 142, 213, 426 are positive factors. The Prime Factors of 426 are 2 × 3 × 71 and its Factors in Pairs are (1, 426), (2, 213), (3, 142), (6, 71).
- All Factors of 426: 1, 2, 3, 6, 71, 142, 213 and 426
- Negative Factors of 426: -1, -2, -3, -6, -71, -142, -213 and -426
- Prime Factors of 426: 2, 3, 71
- Prime Factorization of 426: 21 × 31 × 711
- Sum of Factors of 426: 864
1. | What Are the Factors of 426? |
2. | Factors of 426 by Prime Factorization |
3. | Factors of 426 in Pairs |
4. | FAQs on Factors of 426 |
What are Factors of 426?
Factors of 426 are pairs of those numbers whose products result in 426. These factors are either prime numbers or composite numbers.
How to Find the Factors of 426?
To find the factors of 426, we will have to find the list of numbers that would divide 426 without leaving any remainder.
- 426/213 = 2; therefore, 213 is a factor of 426 and 2 is also a factor of 426.
- 426/3 = 142; therefore, 3 is a factor of 426 and 142 is also a factor of 426.
☛ Also Check:
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 17 - The factors of 17 are 1, 17
Factors of 426 by Prime Factorization
- 426 ÷ 2 = 213
Further dividing 213 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 213 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 426 can be written as 21 × 31 × 711 where 2, 3, 71 are prime.
Factors of 426 in Pairs
Pair factors of 426 are the pairs of numbers that when multiplied give the product 426. The factors of 426 in pairs are:
- 1 × 426 = (1, 426)
- 2 × 213 = (2, 213)
- 3 × 142 = (3, 142)
- 6 × 71 = (6, 71)
Negative pair factors of 426 are:
- -1 × -426 = (-1, -426)
- -2 × -213 = (-2, -213)
- -3 × -142 = (-3, -142)
- -6 × -71 = (-6, -71)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 426 Solved Examples
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Example 1: How many factors are there for 426?
Solution:
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426. Therefore, 426 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 426 and 253.
Solution:
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426 and factors of 253 are 1, 11, 23, 253.
Therefore, the Least Common Multiple (LCM) of 426 and 253 is 107778 and Highest Common Factor (HCF) of 426 and 253 is 1. -
Example 3: Find if 2, 6, 71, 142 and 156 are factors of 426.
Solution:
When we divide 426 by 156 it leaves a remainder. Therefore, the number 156 is not a factor of 426. All numbers except 156 are factors of 426.
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Example 4: Find the product of all the prime factors of 426.
Solution:
Since, the prime factors of 426 are 2, 3, 71. Therefore, the product of prime factors = 2 × 3 × 71 = 426.
FAQs on Factors of 426
What are the Factors of 426?
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426 and its negative factors are -1, -2, -3, -6, -71, -142, -213, -426.
What is the Sum of Factors of 426?
Sum of all factors of 426 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (711 + 1 - 1)/(71 - 1) = 864
What are Prime Factors of 426?
The prime factors of 426 are 2, 3, 71.
What is the Greatest Common Factor of 426 and 202?
The factors of 426 and 202 are 1, 2, 3, 6, 71, 142, 213, 426 and 1, 2, 101, 202 respectively.
Common factors of 426 and 202 are [1, 2].
Hence, the Greatest Common Factor of 426 and 202 is 2.
What are the Common Factors of 426 and 416?
Since, the factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426 and the factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416.
Hence, [1, 2] are the common factors of 426 and 416.
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