CA Foundation Exam > CA Foundation Questions > 5¹⁶ 125⁵ is divisible by?
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5¹⁶ 125⁵ is divisible by?
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5¹⁶ 125⁵ is divisible by?
Divisibility of 5¹⁶ 125⁵
Introduction: Divisibility refers to the property of a number being divisible by another number without leaving a remainder. In this problem, we need to find out which numbers are divisors of 5¹⁶ 125⁵.
Factors of 5¹⁶ 125⁵
We can find the factors of 5¹⁶ 125⁵ by breaking it down into its prime factors:
- 5¹⁶ = 2⁸ x 5¹⁶
- 125⁵ = 5¹⁵
Therefore, 5¹⁶ 125⁵ can be written as:
2⁸ x 5¹⁶ x 5¹⁵
Divisors of 5¹⁶ 125⁵
The divisors of a number are the numbers that divide it without leaving a remainder. To find the divisors of 5¹⁶ 125⁵, we can use the following formula:
The number of divisors of a number m, which can be written as a product of primes as p₁^a₁ x p₂^a₂ x ... x pₙ^aₙ, is given by:
(a₁ + 1) x (a₂ + 1) x ... x (aₙ + 1)
Using this formula, we can find the number of divisors of 5¹⁶ 125⁵ as:
(8 + 1) x (16 + 1) x (15 + 1) = 9 x 17 x 16 = 2448
Conclusion:
Therefore, there are 2448 divisors of 5¹⁶ 125⁵. We cannot list all of them here, but some of the divisors include:
- 1
- 2
- 4
- 5
- 8
- 10
- 16
- 20
- 25
- 32
- 40
- 50
- 64
- 80
- 100
- 125
- 128
- 160
- 200
- 250
- 256
- 320
- 400
- 500
- 512
- 625
- 640
- 800
- 1000
- 1250
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5¹⁶ 125⁵ is divisible by?
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5¹⁶ 125⁵ is divisible by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 5¹⁶ 125⁵ is divisible by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5¹⁶ 125⁵ is divisible by?.
5¹⁶ 125⁵ is divisible by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 5¹⁶ 125⁵ is divisible by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5¹⁶ 125⁵ is divisible by?.
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