Factors and multiples - 4

Divisibility Tests (Continued…)

In the last post, we discussed about divisibility tests of various numbers. At the end of it, there was a quiz. It is assumed that you were able to figure out the answers.

This post will give you some practice questions to test your understanding. In case you find any face difficulty, drop a comment or a mail.

Factors and multiples – Worksheet 1

Tests of divisibility

1.       In the table below, for a given number check it is divisible by various numbers and write ‘Yes’ or ‘No’ in the respective column accordingly. For first two numbers, divisibility has been checked and the results are written for your reference:

	Divisible by 2	Divisible by 3	Divisible by 4	Divisible by 5	Divisible by 6	Divisible by 8	Divisible by 9	Divisible by 10	Divisible by 11
216	Yes	Yes	Yes	No	Yes	Yes	Yes	No	No
120	Yes	Yes	Yes	Yes	Yes	Yes	No	Yes	No
312
495
75
360
1331
822
729
156

2.       Do as directed:

a.       With the digits 7, 4, 2, 8, 3,

                                                               i.      Form the biggest five digit number (without repeating any digit) which is divisible by 2.

                                                             ii.      Form the smallest five digit number (without repeating any digit) which is divisible by 2.

                                                            iii.      Form the biggest five digit number (without repeating any digit) which is divisible by 3.

                                                           iv.      Form the smallest five digit number (without repeating any digit) which is divisible by 3.

b.      With the digits 9, 2, 5, 4, 0,

                                                               i.      Form the biggest five digit number (without repeating any digit) which is divisible by 5.

                                                             ii.      Form the smallest five digit number (without repeating any digit) which is divisible by 5.

c.       Take any 3-digit number which is divisible by 9 and another 3-digit number which is divisible by 4. Multiply the two numbers, check if the product is divisible by both 9 and 4 or divisible by only 4 or only 9?

d.      Take any 2-digit number which is divisible by 3 and another 2-digit number which is divisible by 5. Multiply the two numbers, check if the product is divisible by both 3 and 5 or divisible by only 3 or only 5?

e.      From the numbers 1 to 50; write all the numbers that are divisible by 10. Check if those numbers are divisible by 5 as well?

f.        From the numbers 1 to 50; write all the numbers that are divisible by 5. Check if those numbers are divisible by 10 as well?

g.       From the numbers 1 to 50; write all the numbers that are divisible by 9. Check if those numbers are divisible by 3 as well?

h.      From the numbers 1 to 50; write all the numbers that are divisible by 3. Check if those numbers are divisible by 9 as well?