Factors of 845
Factors of 845 are integers that can be divided evenly into 845. There are 6 factors of 845, which are 1, 5, 13, 65, 169, 845. Here, 845 is the biggest factor. The Prime Factors and Pair Factors of 845 are 5 × 13 and (1, 845), (5, 169), (13, 65) respectively.
- All Factors of 845: 1, 5, 13, 65, 169 and 845
- Negative Factors of 845: -1, -5, -13, -65, -169 and -845
- Prime Factors of 845: 5, 13
- Prime Factorization of 845: 51 × 132
- Sum of Factors of 845: 1098
1. | What Are the Factors of 845? |
2. | Factors of 845 by Prime Factorization |
3. | Factors of 845 in Pairs |
4. | FAQs on Factors of 845 |
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What are Factors of 845?
Factors of 845 are pairs of those numbers whose products result in 845. These factors are either prime numbers or composite numbers.
How to Find the Factors of 845?
To find the factors of 845, we will have to find the list of numbers that would divide 845 without leaving any remainder.
- 845/65 = 13; therefore, 65 is a factor of 845 and 13 is also a factor of 845.
- 845/169 = 5; therefore, 169 is a factor of 845 and 5 is also a factor of 845.
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Factors of 845 by Prime Factorization
- 845 ÷ 5 = 169
Further dividing 169 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 169 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 845 can be written as 51 × 132 where 5, 13 are prime.
Factors of 845 in Pairs
Pair factors of 845 are the pairs of numbers that when multiplied give the product 845. The factors of 845 in pairs are:
- 1 × 845 = (1, 845)
- 5 × 169 = (5, 169)
- 13 × 65 = (13, 65)
Negative pair factors of 845 are:
- -1 × -845 = (-1, -845)
- -5 × -169 = (-5, -169)
- -13 × -65 = (-13, -65)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 845 Solved Examples
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Example 1: How many factors are there for 845?
Solution:
The factors of 845 are 1, 5, 13, 65, 169, 845. Therefore, 845 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 845 and 525.
Solution:
The factors of 845 are 1, 5, 13, 65, 169, 845 and factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525.
Therefore, the Least Common Multiple (LCM) of 845 and 525 is 88725 and Highest Common Factor (HCF) of 845 and 525 is 5. -
Example 3: Find if 5, 17, 65 and 169 are factors of 845.
Solution:
When we divide 845 by 17 it leaves a remainder. Therefore, the number 17 is not a factor of 845. All numbers except 17 are factors of 845.
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Example 4: Find the product of all the prime factors of 845.
Solution:
Since, the prime factors of 845 are 5, 13. Therefore, the product of prime factors = 5 × 13 = 65.
FAQs on Factors of 845
What are the Factors of 845?
The factors of 845 are 1, 5, 13, 65, 169, 845 and its negative factors are -1, -5, -13, -65, -169, -845.
What is the Sum of all the Factors of 845?
Since, all factors of 845 are 1, 5, 13, 65, 169, 845 therefore, the sum of its factors is 1 + 5 + 13 + 65 + 169 + 845 = 1098.
What are Prime Factors of 845?
The prime factors of 845 are 5, 13.
What is the Greatest Common Factor of 845 and 417?
The factors of 845 are 1, 5, 13, 65, 169, 845 and the factors of 417 are 1, 3, 139, 417. 845 and 417 have only one common factor which is 1. This implies that 845 and 417 are co-prime.
Hence, the Greatest Common Factor (GCF) of 845 and 417 is 1.
How Many Factors of 845 are also Factors of 468?
Since, the factors of 845 are 1, 5, 13, 65, 169, 845 and the factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468.
Hence, [1, 13] are the common factors of 845 and 468.
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