Factors of 445
Factors of 445 are integers that can be divided evenly into 445. There are overall 4 factors of 445 among which 445 is the biggest factor and 1, 5, 89, 445 are positive factors. The Pair Factors of 445 are (1, 445), (5, 89) and its Prime Factors are 5 × 89.
- All Factors of 445: 1, 5, 89 and 445
- Negative Factors of 445: -1, -5, -89 and -445
- Prime Factors of 445: 5, 89
- Prime Factorization of 445: 51 × 891
- Sum of Factors of 445: 540
1. | What Are the Factors of 445? |
2. | Factors of 445 by Prime Factorization |
3. | Factors of 445 in Pairs |
4. | FAQs on Factors of 445 |
What are Factors of 445?
Factors of 445 are pairs of those numbers whose products result in 445. These factors are either prime numbers or composite numbers.
How to Find the Factors of 445?
To find the factors of 445, we will have to find the list of numbers that would divide 445 without leaving any remainder.
- 445/89 = 5; therefore, 89 is a factor of 445 and 5 is also a factor of 445.
- 445/445 = 1; therefore, 445 is a factor of 445 and 1 is also a factor of 445.
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- Factors of 11 - The factors of 11 are 1, 11
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 445 by Prime Factorization
- 445 ÷ 5 = 89
Further dividing 89 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 89 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 445 can be written as 51 × 891 where 5, 89 are prime.
Factors of 445 in Pairs
Pair factors of 445 are the pairs of numbers that when multiplied give the product 445. The factors of 445 in pairs are:
- 1 × 445 = (1, 445)
- 5 × 89 = (5, 89)
Negative pair factors of 445 are:
- -1 × -445 = (-1, -445)
- -5 × -89 = (-5, -89)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 445 Solved Examples
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Example 1: How many factors are there for 445?
Solution:
The factors of 445 are 1, 5, 89, 445. Therefore, 445 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 445 and 107.
Solution:
The factors of 445 are 1, 5, 89, 445 and factors of 107 are 1, 107.
Therefore, the Lowest Common Multiple (LCM) of 445 and 107 is 47615 and Highest Common Factor (HCF) of 445 and 107 is 1. -
Example 3: Find if 89, 138 and 445 are factors of 445.
Solution:
When we divide 445 by 138 it leaves a remainder. Therefore, the number 138 is not a factor of 445. All numbers except 138 are factors of 445.
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Example 4: Find the product of all the prime factors of 445.
Solution:
Since, the prime factors of 445 are 5, 89. Therefore, the product of prime factors = 5 × 89 = 445.
FAQs on Factors of 445
What are the Factors of 445?
The factors of 445 are 1, 5, 89, 445 and its negative factors are -1, -5, -89, -445.
What is the Sum of all the Factors of 445?
Since, all factors of 445 are 1, 5, 89, 445 therefore, the sum of its factors is 1 + 5 + 89 + 445 = 540.
What are Pair Factors of 445?
The pair factors of 445 are (1, 445), (5, 89).
What is the Greatest Common Factor of 445 and 214?
The factors of 445 are 1, 5, 89, 445 and the factors of 214 are 1, 2, 107, 214. 445 and 214 have only one common factor which is 1. This implies that 445 and 214 are co-prime.
Hence, the Greatest Common Factor (GCF) of 445 and 214 is 1.
How Many Factors of 445 are also Factors of 340?
Since, the factors of 445 are 1, 5, 89, 445 and the factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Hence, [1, 5] are the common factors of 445 and 340.
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