Factors of 854
Factors of 854 are integers that can be divided evenly into 854. There are 8 factors of 854 of which 854 itself is the biggest factor and its positive factors are 1, 2, 7, 14, 61, 122, 427, 854. The sum of all factors of 854 is 1488 and its factors in Pairs are (1, 854), (2, 427), (7, 122), (14, 61).
- All Factors of 854: 1, 2, 7, 14, 61, 122, 427 and 854
- Negative Factors of 854: -1, -2, -7, -14, -61, -122, -427 and -854
- Prime Factors of 854: 2, 7, 61
- Prime Factorization of 854: 21 × 71 × 611
- Sum of Factors of 854: 1488
1. | What Are the Factors of 854? |
2. | Factors of 854 by Prime Factorization |
3. | Factors of 854 in Pairs |
4. | FAQs on Factors of 854 |

What are Factors of 854?
Factors of 854 are pairs of those numbers whose products result in 854. These factors are either prime numbers or composite numbers.
How to Find the Factors of 854?
To find the factors of 854, we will have to find the list of numbers that would divide 854 without leaving any remainder.
- 854/14 = 61; therefore, 14 is a factor of 854 and 61 is also a factor of 854.
- 854/7 = 122; therefore, 7 is a factor of 854 and 122 is also a factor of 854.
☛ Also Check:
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
Factors of 854 by Prime Factorization
- 854 ÷ 2 = 427
Further dividing 427 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 427 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 854 can be written as 21 × 71 × 611 where 2, 7, 61 are prime.
Factors of 854 in Pairs
Pair factors of 854 are the pairs of numbers that when multiplied give the product 854. The factors of 854 in pairs are:
- 1 × 854 = (1, 854)
- 2 × 427 = (2, 427)
- 7 × 122 = (7, 122)
- 14 × 61 = (14, 61)
Negative pair factors of 854 are:
- -1 × -854 = (-1, -854)
- -2 × -427 = (-2, -427)
- -7 × -122 = (-7, -122)
- -14 × -61 = (-14, -61)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 854 Solved Examples
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Example 1: How many factors are there for 854?
Solution:
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. Therefore, 854 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 854 and 39.
Solution:
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854 and factors of 39 are 1, 3, 13, 39.
Therefore, the Least Common Multiple (LCM) of 854 and 39 is 33306 and Greatest Common Divisor (GCD) of 854 and 39 is 1. -
Example 3: Find if 14, 61, 122, 808 and 854 are factors of 854.
Solution:
When we divide 854 by 808 it leaves a remainder. Therefore, the number 808 is not a factor of 854. All numbers except 808 are factors of 854.
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Example 4: Find the product of all the prime factors of 854.
Solution:
Since, the prime factors of 854 are 2, 7, 61. Therefore, the product of prime factors = 2 × 7 × 61 = 854.
FAQs on Factors of 854
What are the Factors of 854?
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854 and its negative factors are -1, -2, -7, -14, -61, -122, -427, -854.
What is the Sum of all the Factors of 854?
Sum of all factors of 854 = (21 + 1 - 1)/(2 - 1) × (71 + 1 - 1)/(7 - 1) × (611 + 1 - 1)/(61 - 1) = 1488
What are Prime Factors of 854?
The prime factors of 854 are 2, 7, 61.
What is the Greatest Common Factor of 854 and 483?
The factors of 854 and 483 are 1, 2, 7, 14, 61, 122, 427, 854 and 1, 3, 7, 21, 23, 69, 161, 483 respectively.
Common factors of 854 and 483 are [1, 7].
Hence, the GCF of 854 and 483 is 7.
How Many Factors of 854 are also Factors of 298?
Since, the factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854 and the factors of 298 are 1, 2, 149, 298.
Hence, [1, 2] are the common factors of 854 and 298.
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