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If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ?
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If x is divisible by 4 then that means x is divisible by 2 also. that ...
Understanding Divisibility
When we say that a number x is divisible by 4, we are implying certain properties about x and its relationship with other integers. Here's a detailed breakdown of this concept:
Divisibility by 4
- If x is divisible by 4, it can be expressed as x = 4k, where k is an integer.
- This means x can be written as a product of 4, which inherently involves multiples of 2.
Divisibility by 2
- Since 4 is a multiple of 2, any number divisible by 4 must also be divisible by 2.
- Therefore, we can express x as x = 2m, where m is another integer.
Implications of Dividing x by 2
- When dividing x by 2, we get x/2 = 2k.
- Since k is an integer, x/2 is also an integer, and because it is a multiple of 2, it is guaranteed to be even.
Conclusion
- Thus, if x is divisible by 4, it ensures that x is divisible by 2.
- Consequently, x/2 results in an even integer.
In summary, divisibility by 4 directly leads to divisibility by 2, confirming that both statements regarding the properties of x are valid and consistent in their implications. This logical relationship is fundamental in number theory and helps in solving various mathematical problems efficiently.
When we say that a number x is divisible by 4, we are implying certain properties about x and its relationship with other integers. Here's a detailed breakdown of this concept:
Divisibility by 4
- If x is divisible by 4, it can be expressed as x = 4k, where k is an integer.
- This means x can be written as a product of 4, which inherently involves multiples of 2.
Divisibility by 2
- Since 4 is a multiple of 2, any number divisible by 4 must also be divisible by 2.
- Therefore, we can express x as x = 2m, where m is another integer.
Implications of Dividing x by 2
- When dividing x by 2, we get x/2 = 2k.
- Since k is an integer, x/2 is also an integer, and because it is a multiple of 2, it is guaranteed to be even.
Conclusion
- Thus, if x is divisible by 4, it ensures that x is divisible by 2.
- Consequently, x/2 results in an even integer.
In summary, divisibility by 4 directly leads to divisibility by 2, confirming that both statements regarding the properties of x are valid and consistent in their implications. This logical relationship is fundamental in number theory and helps in solving various mathematical problems efficiently.
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If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ?
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If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ?.
If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x is divisible by 4 then that means x is divisible by 2 also. that means x/2 will be an even integer. that means both statements can answer this ?.
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