Factors of 9001
Factors of 9001 are the list of integers that we can split evenly into 9001. There are overall 2 factors of 9001 among which 9001 is the biggest factor and 1, 9001 are positive factors. The sum of all factors of 9001 is 9002. Its Prime Factors is 9001 and (1, 9001) are Pair Factors.
- All Factors of 9001: 1 and 9001
- Negative Factors of 9001: -1 and -9001
- Prime Factors of 9001: 9001
- Prime Factorization of 9001: 90011
- Sum of Factors of 9001: 9002
1. | What Are the Factors of 9001? |
2. | Factors of 9001 by Prime Factorization |
3. | Factors of 9001 in Pairs |
4. | FAQs on Factors of 9001 |
What are Factors of 9001?
Factors of 9001 are pairs of those numbers whose products result in 9001. These factors are either prime numbers or composite numbers.
How to Find the Factors of 9001?
To find the factors of 9001, we will have to find the list of numbers that would divide 9001 without leaving any remainder.
- 9001/1 = 9001; therefore, 1 is a factor of 9001.
- 9001/9001 = 1; therefore, 9001 is a factor of 9001.
☛ Also Check:
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 34 - The factors of 34 are 1, 2, 17, 34
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
Factors of 9001 by Prime Factorization
So, the prime factorization of 9001 can be written as 90011 where 9001 is prime.
Factors of 9001 in Pairs
Pair factors of 9001 are the pairs of numbers that when multiplied give the product 9001. The factors of 9001 in pairs are:
- 1 × 9001 = (1, 9001)
Negative pair factors of 9001 are:
- -1 × -9001 = (-1, -9001)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 9001 Solved Examples
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Example 1: How many factors are there for 9001?
Solution:
The factors of 9001 are 1, 9001. Therefore, 9001 has 2 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 9001 and 1867.
Solution:
The factors of 9001 are 1, 9001 and factors of 1867 are 1, 1867.
Therefore, the Least Common Multiple (LCM) of 9001 and 1867 is 16804867 and Highest Common Factor (HCF) of 9001 and 1867 is 1. -
Example 3: Find if 2128 and 9001 are factors of 9001.
Solution:
When we divide 9001 by 2128 it leaves a remainder. Therefore, the number 2128 is not a factor of 9001. All numbers except 2128 are factors of 9001.
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Example 4: Find the product of all the factors of 9001.
Solution:
Since, the factors of 9001 are 1, 9001. Therefore, the product of factors = 1 × 9001 = 9001.
FAQs on Factors of 9001
What are the Factors of 9001?
The factors of 9001 are 1, 9001 and its negative factors are -1, -9001.
What is the Sum of all the Factors of 9001?
Since, all factors of 9001 are 1, 9001 therefore, the sum of its factors is 1 + 9001 = 9002.
What are the Pair Factors of 9001?
The pair factors of 9001 are (1, 9001).
What is the Greatest Common Factor of 9001 and 6542?
The factors of 9001 are 1, 9001 and the factors of 6542 are 1, 2, 3271, 6542. 9001 and 6542 have only one common factor which is 1. This implies that 9001 and 6542 are co-prime.
Hence, the Greatest Common Factor (GCF) of 9001 and 6542 is 1.
How Many Factors of 5015 are also common to the Factors of 9001?
Since, the factors of 9001 are 1, 9001 and factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015. Hence, 9001 and 5015 have only one common factor which is 1. Therefore, 9001 and 5015 are co-prime.
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