We appreciate your visit to Determine whether tex 12 mid 785 172 tex A True B False. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine whether [tex]\( 12 \)[/tex] divides [tex]\( 785,172 \)[/tex] (i.e., if [tex]\( 785,172 \)[/tex] is divisible by [tex]\( 12 \)[/tex]), we need to check two conditions because a number is divisible by [tex]\( 12 \)[/tex] if it is divisible by both [tex]\( 3 \)[/tex] and [tex]\( 4 \)[/tex].
1. Check for divisibility by [tex]\( 3 \)[/tex]:
- A number is divisible by [tex]\( 3 \)[/tex] if the sum of its digits is divisible by [tex]\( 3 \)[/tex].
- The sum of the digits of [tex]\( 785,172 \)[/tex] is [tex]\( 7 + 8 + 5 + 1 + 7 + 2 = 30 \)[/tex].
- Since [tex]\( 30 \)[/tex] is divisible by [tex]\( 3 \)[/tex], [tex]\( 785,172 \)[/tex] is also divisible by [tex]\( 3 \)[/tex].
2. Check for divisibility by [tex]\( 4 \)[/tex]:
- A number is divisible by [tex]\( 4 \)[/tex] if the last two digits of the number form a number that is divisible by [tex]\( 4 \)[/tex].
- The last two digits of [tex]\( 785,172 \)[/tex] are [tex]\( 72 \)[/tex].
- Since [tex]\( 72 \)[/tex] is divisible by [tex]\( 4 \)[/tex], [tex]\( 785,172 \)[/tex] is also divisible by [tex]\( 4 \)[/tex].
Since [tex]\( 785,172 \)[/tex] is divisible by both [tex]\( 3 \)[/tex] and [tex]\( 4 \)[/tex], we can conclude that [tex]\( 785,172 \)[/tex] is divisible by [tex]\( 12 \)[/tex].
Therefore, the statement [tex]\( 12 \mid 785,172 \)[/tex] is True.
1. Check for divisibility by [tex]\( 3 \)[/tex]:
- A number is divisible by [tex]\( 3 \)[/tex] if the sum of its digits is divisible by [tex]\( 3 \)[/tex].
- The sum of the digits of [tex]\( 785,172 \)[/tex] is [tex]\( 7 + 8 + 5 + 1 + 7 + 2 = 30 \)[/tex].
- Since [tex]\( 30 \)[/tex] is divisible by [tex]\( 3 \)[/tex], [tex]\( 785,172 \)[/tex] is also divisible by [tex]\( 3 \)[/tex].
2. Check for divisibility by [tex]\( 4 \)[/tex]:
- A number is divisible by [tex]\( 4 \)[/tex] if the last two digits of the number form a number that is divisible by [tex]\( 4 \)[/tex].
- The last two digits of [tex]\( 785,172 \)[/tex] are [tex]\( 72 \)[/tex].
- Since [tex]\( 72 \)[/tex] is divisible by [tex]\( 4 \)[/tex], [tex]\( 785,172 \)[/tex] is also divisible by [tex]\( 4 \)[/tex].
Since [tex]\( 785,172 \)[/tex] is divisible by both [tex]\( 3 \)[/tex] and [tex]\( 4 \)[/tex], we can conclude that [tex]\( 785,172 \)[/tex] is divisible by [tex]\( 12 \)[/tex].
Therefore, the statement [tex]\( 12 \mid 785,172 \)[/tex] is True.
Thanks for taking the time to read Determine whether tex 12 mid 785 172 tex A True B False. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
