Check 4,962 with the divisibility tests for 2, 3, 5, 6, and 10. Which complete list of those numbers divides it?
ADivisible by 2 and 3 only
BDivisible by 2, 3, and 6
CDivisible by 3 and 5 only
DDivisible by 2, 5, and 10
Answer & Solution
Correct answer: B. Divisible by 2, 3, and 6
1. Test 2: the last digit of 4,962 is 2, which is on the list 0, 2, 4, 6, 8, so 4,962 is divisible by 2.
2. Test 3: the digit sum is 4 plus 9 plus 6 plus 2, which equals 21, and 21 is divisible by 3, so 4,962 is divisible by 3.
3. Test 5: the last digit is 2, not 5 or 0, so 4,962 is not divisible by 5.
4. Test 6: a number divisible by both 2 and 3 is divisible by 6, and 4,962 passes both, so it is divisible by 6.
5. Test 10: the last digit is not 0, so 4,962 is not divisible by 10.
6. The option stopping at 2 and 3 misses the combined test for 6, and the options naming 5 or 10 ignore the last-digit checks.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 1 "Foundations", section 1.1 Introduction to Whole Numbers_
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