AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Without dividing, determine if , is divisible by and explain how you know., divisible by
Full solution
Q. Without dividing, determine if , is divisible by and explain how you know., divisible by
- Divisibility Rule for : To determine if a number is divisible by , we only need to look at the last two digits of the number. If the last two digits form a number that is divisible by , then the entire number is divisible by . This is because (and multiples thereof) are divisible by , so the divisibility of the number by depends only on the last two digits.
- Last Two Digits of Number: Let's look at the last two digits of , which are . Now we need to check if is divisible by .
- Check Divisibility of Last Two Digits: To check if is divisible by , we can divide by . The division of by is with a remainder of . Since there is a remainder, is not divisible by .
- Conclusion: Since the last two digits of the number (which are ) are not divisible by , we can conclude that is not divisible by .
