Factors of 455
Factors of 455 are numbers that, when multiplied in pairs give the product as 455. It has a total of 8 factors of which 455 is the biggest factor and the positive factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. The Prime Factors and Pair Factors of 455 are 5 × 7 × 13 and (1, 455), (5, 91), (7, 65), (13, 35) respectively.
- All Factors of 455: 1, 5, 7, 13, 35, 65, 91 and 455
- Negative Factors of 455: -1, -5, -7, -13, -35, -65, -91 and -455
- Prime Factors of 455: 5, 7, 13
- Prime Factorization of 455: 51 × 71 × 131
- Sum of Factors of 455: 672
1. | What Are the Factors of 455? |
2. | Factors of 455 by Prime Factorization |
3. | Factors of 455 in Pairs |
4. | FAQs on Factors of 455 |
What are Factors of 455?
Factors of 455 are pairs of those numbers whose products result in 455. These factors are either prime numbers or composite numbers.
How to Find the Factors of 455?
To find the factors of 455, we will have to find the list of numbers that would divide 455 without leaving any remainder.
- 455/91 = 5; therefore, 91 is a factor of 455 and 5 is also a factor of 455.
- 455/65 = 7; therefore, 65 is a factor of 455 and 7 is also a factor of 455.
☛ Also Check:
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 26 - The factors of 26 are 1, 2, 13, 26
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
Factors of 455 by Prime Factorization
- 455 ÷ 5 = 91
Further dividing 91 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 91 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 455 can be written as 51 × 71 × 131 where 5, 7, 13 are prime.
Factors of 455 in Pairs
Pair factors of 455 are the pairs of numbers that when multiplied give the product 455. The factors of 455 in pairs are:
- 1 × 455 = (1, 455)
- 5 × 91 = (5, 91)
- 7 × 65 = (7, 65)
- 13 × 35 = (13, 35)
Negative pair factors of 455 are:
- -1 × -455 = (-1, -455)
- -5 × -91 = (-5, -91)
- -7 × -65 = (-7, -65)
- -13 × -35 = (-13, -35)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 455 Solved Examples
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Example 1: How many factors are there for 455?
Solution:
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. Therefore, 455 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 455 and 234.
Solution:
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455 and factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234.
Therefore, the Least Common Multiple (LCM) of 455 and 234 is 8190 and Highest Common Factor (HCF) of 455 and 234 is 13. -
Example 3: Find if 1, 5, 91, 297 and 455 are factors of 455.
Solution:
When we divide 455 by 297 it leaves a remainder. Therefore, the number 297 is not a factor of 455. All numbers except 297 are factors of 455.
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Example 4: Find the product of all the prime factors of 455.
Solution:
Since, the prime factors of 455 are 5, 7, 13. Therefore, the product of prime factors = 5 × 7 × 13 = 455.
FAQs on Factors of 455
What are the Factors of 455?
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455 and its negative factors are -1, -5, -7, -13, -35, -65, -91, -455.
What is the Sum of the Factors of 455?
Sum of all factors of 455 = (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) × (131 + 1 - 1)/(13 - 1) = 672
What are Pair Factors of 455?
The pair factors of 455 are (1, 455), (5, 91), (7, 65), (13, 35).
What is the Greatest Common Factor of 455 and 428?
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455 and the factors of 428 are 1, 2, 4, 107, 214, 428. 455 and 428 have only one common factor which is 1. This implies that 455 and 428 are co-prime.
Hence, the Greatest Common Factor (GCF) of 455 and 428 is 1.
How Many Factors of 253 are also common to the Factors of 455?
Since, the factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455 and factors of 253 are 1, 11, 23, 253. Hence, 455 and 253 have only one common factor which is 1. Therefore, 455 and 253 are co-prime.
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