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Chapter 1: Q 1.12. (page 12)

Determine whether 3,765is divisible by 2, by3, by 5, by 6, and by 10.

Short Answer

Expert verified

The number is divisible only by 3and 5.

Step by step solution

01

step 1. Given information

The given digits are3,765

02

step 2. Find the divisibility

Solve the expression:

2188237652--------17-16--------16-16-------05-4----1

solve the expression:

3125537653-------07-6-------16-15-------15-15-------0

solve the expression:

5753376535-------26-25-------15-15------0

03

step 3. Find the divisible value

solve the expression:

6627376536--------16-12-------45-42-------3

solve the expression:

10376376530-------76-70-------65-60-------5

Notice that when 3765is divided by both 3or 5, the remainder is 0, but when it is divided by either 2, 6, or 10, the remainder is not 0.

Hence , the number is divisible on;y by 3and 5.

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