Page 57 - Start Up Mathematics_6

Example 19: Using divisibility tests, determine which of the following numbers are divisible by
2, 3, 4, 5, 6, 8, 9, 10, 11 (Write Yes or No). The first row is done for you.

Divisible by
Number
2 3 4 5 6 8 9 10 11
132 Yes Yes Yes No Yes No No No Yes
397
990
997

1,586
7,568
4,06,839

Solution: Using divisibility tests, we reach the following conclusion:

Divisible by
Number
2 3 4 5 6 8 9 10 11
132 Yes Yes Yes No Yes No No No Yes
397 No No No No No No No No No
990 Yes Yes No Yes Yes No Yes Yes Yes
997 No No No No No No No No No
1,586 Yes No No No No No No No No
7,568 Yes No Yes No No Yes No No Yes
4,06,839 No Yes No No No No No No No

EXERCISE 3.3

1. Using divisibility tests, determine which of the following numbers are divisible by 2:
(a) 4,56,739 (b) 8,97,078 (c) 9,99,992

2. Using divisibility tests, determine which of the following numbers are divisible by 3:
(a) 2,34,693 (b) 98,745 (c) 4,56,386
3. Using divisibility tests, determine which of the following numbers are divisible by 4:

(a) 76,892 (b) 98,576 (c) 6,57,482
4. Using divisibility tests, determine which of the following numbers are divisible by 5:
(a) 3,46,789 (b) 8,76,590 (c) 9,87,605

5. Using divisibility tests, determine which of the following numbers are divisible by 6:
(a) 71,124 (b) 78,651 (c) 67,85,910
6. Using divisibility tests, determine which of the following numbers are divisible by 8:
(a) 88,364 (b) 27,314 (c) 6,75,416

7. Using divisibility tests, determine which of the following numbers are divisible by 9:
(a) 7,89,651 (b) 7,57,900 (c) 87,65,433

8. Using divisibility tests, determine which of the following numbers are divisible by 10:
(a) 5,67,895 (b) 5,40,980 (c) 6,78,500

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