
If a number is divisible by 8, then it is also divisible by 4 also. Explain?
Answer
472.5k+ views
Hint:In the given question, we have been asked that if a number is divisible by 8 then it is also divisible by 4 also. Here, we use the concept of factors. If any number is divisible by 8 and we know that 4 is the factor of 8, then the number is divisible by 4 also.
Complete step by step solution:
Let’s suppose a number ‘A’ be divisible by 8.
If any number is divisible by 8 then it must contain 8 as a factor.
Thus, , where ‘B’ is the number that is the result when A is divided by 8.
Now,
We saw that 8 is the factor of a number ‘A’ and
We know that,
that means 4 is a factor of 8.
Now, a number ‘A’ can be written as,
Therefore, if any number is divisible by 8 or 8 is a factor of any number and 4 is a factor of 8, then that number is divisible by 4 also.
So, a number ‘A’ is divisible by 4 also.
Note: We can also check if a number is divisible by 4 in another way also i.e. by using the divisibility of 4. Divisibility of 4 says that if the last two digits of any number is divisible by 4, then the whole number is also divisible by 4. For example; let’s take a number 780, the last two of this number is 80 and we can see that the number 80 is divisible by 4 i.e. . So therefore, the whole number 780 is divisible by 4.
Complete step by step solution:
Let’s suppose a number ‘A’ be divisible by 8.
If any number is divisible by 8 then it must contain 8 as a factor.
Thus,
Now,
We saw that 8 is the factor of a number ‘A’ and
We know that,
Now, a number ‘A’ can be written as,
Therefore, if any number is divisible by 8 or 8 is a factor of any number and 4 is a factor of 8, then that number is divisible by 4 also.
So, a number ‘A’ is divisible by 4 also.
Note: We can also check if a number is divisible by 4 in another way also i.e. by using the divisibility of 4. Divisibility of 4 says that if the last two digits of any number is divisible by 4, then the whole number is also divisible by 4. For example; let’s take a number 780, the last two of this number is 80 and we can see that the number 80 is divisible by 4 i.e.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Which of the following districts of Rajasthan borders class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

What is 85 of 500 class 9 maths CBSE
