Factors of 401
Factors of 401 are the list of integers that we can split evenly into 401. There are overall 2 factors of 401 i.e. 1, 401 where 401 is the biggest factor. The sum of all factors of 401 is 402. Its Prime Factors is 401 and (1, 401) are Pair Factors.
- All Factors of 401: 1 and 401
- Negative Factors of 401: -1 and -401
- Prime Factors of 401: 401
- Prime Factorization of 401: 4011
- Sum of Factors of 401: 402
1. | What Are the Factors of 401? |
2. | Factors of 401 by Prime Factorization |
3. | Factors of 401 in Pairs |
4. | FAQs on Factors of 401 |
What are Factors of 401?
Factors of 401 are pairs of those numbers whose products result in 401. These factors are either prime numbers or composite numbers.
How to Find the Factors of 401?
To find the factors of 401, we will have to find the list of numbers that would divide 401 without leaving any remainder.
- 401/401 = 1; therefore, 401 is a factor of 401.
- 401/1 = 401; therefore, 1 is a factor of 401.
☛ Also Check:
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 125 - The factors of 125 are 1, 5, 25, 125
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 401 by Prime Factorization
So, the prime factorization of 401 can be written as 4011 where 401 is prime.
Factors of 401 in Pairs
Pair factors of 401 are the pairs of numbers that when multiplied give the product 401. The factors of 401 in pairs are:
- 1 × 401 = (1, 401)
Negative pair factors of 401 are:
- -1 × -401 = (-1, -401)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 401 Solved Examples
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Example 1: How many factors are there for 401?
Solution:
The factors of 401 are 1, 401. Therefore, 401 has 2 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 401 and 218.
Solution:
The factors of 401 are 1, 401 and factors of 218 are 1, 2, 109, 218.
Therefore, the LCM of 401 and 218 is 87418 and Highest Common Factor (HCF) of 401 and 218 is 1. -
Example 3: Find if 1 and 217 are factors of 401.
Solution:
When we divide 401 by 217 it leaves a remainder. Therefore, the number 217 is not a factor of 401. All numbers except 217 are factors of 401.
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Example 4: Find the product of all the factors of 401.
Solution:
Since, the factors of 401 are 1, 401. Therefore, the product of factors = 1 × 401 = 401.
FAQs on Factors of 401
What are the Factors of 401?
The factors of 401 are 1, 401 and its negative factors are -1, -401.
What is the Sum of all the Factors of 401?
All the Factors of 401 are 1, 401 and therefore the sum of all these factors is 1 + 401 = 402
What numbers are the Pair Factors of 401?
The pair factors of 401 are (1, 401).
What is the Greatest Common Factor of 401 and 345?
The factors of 401 are 1, 401 and the factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345. 401 and 345 have only one common factor which is 1. This implies that 401 and 345 are co-prime.
Hence, the Greatest Common Factor (GCF) of 401 and 345 is 1.
How Many Factors of 69 are also common to the Factors of 401?
Since, the factors of 401 are 1, 401 and factors of 69 are 1, 3, 23, 69. Hence, 401 and 69 have only one common factor which is 1. Therefore, 401 and 69 are co-prime.
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