Using divisibility tests, determine which of the following numbers are divisible by 2 ; by 3 ; by 4 ; by 5 ; by 6 ; by 8 ; by 9 ; by 10 ; by 11 (say, yes or no):
"

To do:

Using divisibility tests, we have to determine which of the given numbers are divisible by 2 ; by 3 ; by 4 ; by 5 ; by 6 ; by 8 ; by 9 ; by 10 ; by 11.

Solution:

Numbers	2	3	4	5	6	8	9	10	11
128	Yes	No	Yes	No	No	Yes	No	No	No
990	Yes	Yes	No	Yes	Yes	No	Yes	Yes	Yes
1586	Yes	No	No	No	No	No	No	No	No
275	No	No	NO	Yes	No	No	No	No	Yes
6686	Yes	No	No	No	No	No	No	No	No
639210	Yes	Yes	No	Yes	Yes	No	No	Yes	Yes
429714	Yes	Yes	No	No	Yes	No	Yes	No	No
2856	Yes	Yes	Yes	No	Yes	Yes	No	No	No
3060	Yes	Yes	Yes	Yes	Yes	No	Yes	Yes	No
406839	No	Yes	No	No	No	No	No	No	No

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

65 Views

Using divisibility tests, determine which of the following numbers are divisible by 4 and by 8.(a) 572 (b) 726352
Using divisibility tests, determine whether the following number is divisible by 4 and by 8.2150
Multiply:(i) \( \frac{7}{11} \) by \( \frac{5}{4} \)(ii) \( \frac{5}{7} \) by \( \frac{-3}{4} \)(iii) \( \frac{-2}{9} \) by \( \frac{5}{11} \)(iv) \( \frac{-3}{17} \) by \( \frac{-5}{-4} \)(v) \( \frac{9}{-7} \) by \( \frac{36}{-11} \)(vi) \( \frac{-11}{13} \) by \( \frac{-21}{7} \)(vii)\( -\frac{3}{5} \) by \( -\frac{4}{7} \)(viii) \( -\frac{15}{11} \) by 7
State whether True or FalseAll numbers which are divisible by 4 must also be divisible by 8.
Determine if 25110 is divisible by 45.[Hint : 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9 ].
If a number is divisible by 3 need it to be tested for 9? Justify your answer by stating any 2 numbers which are divisible by 3 but not by 9.
Divide:(i) 1 by \( \frac{1}{2} \)(ii) 5 by \( \frac{-5}{7} \)(iii) \( \frac{-3}{4} \) by \( \frac{9}{-16} \)(iv) \( \frac{-7}{8} \) by \( \frac{-21}{16} \)(v) \( \frac{7}{-4} \) by \( \frac{63}{64} \)(vi) 0 by \( \frac{-7}{5} \)(vii) \( \frac{-3}{4} \) by \( -6 \)(viii) \( \frac{2}{3} \) by \( \frac{-7}{12} \)(ix) -4 \) by \( \frac{-3}{5} \)(x) \( \frac{-3}{13} \) by \( \frac{-4}{65} \)
What is the value of 9 by 8 Minus 11 by 8?
Using divisibility tests, determine which of the following numbers are divisible by 4 ; by 8:(a) 572 (b) 726352 (c) 5500 (d) 6000 (e) 12159(f) 14560 (g) 21084 (h) 31795072 (i) 1700 (j) 2150
Multiply:(i) \( \frac{-5}{17} \) by \( \frac{51}{-60} \)(ii) \( \frac{-6}{11} \) by \( \frac{-55}{36} \)(iii) \( \frac{-8}{25} \) by \( \frac{-5}{16} \)(iv) \( \frac{6}{7} \) by \( \frac{-49}{36} \)(v) \( \frac{8}{-9} \) by \( \frac{-7}{-16} \)(vi) \( \frac{-8}{9} \) by \( \frac{3}{64} \)
Using divisibility tests, determine which of the following numbers are divisible by 11 :(a) 5445 (b) 10824 (c) 7138965 (d) 70169308 (e) 10000001(f) 901153
Given an example of a number which is divisible by(i) 2 but not by 4.(ii) 3 but not by 6.(iii) 4 but not by 8.(iv) both 4 and 8 but not 32.
Which of the following statements are true?(a) If a number is divisible by 3, it must be divisible by 9.(b) If a number is divisible by 9, it must be divisible by 3.(c) A number is divisible by 18, if it is divisible by both 3 and 6.(d) If a number is divisible by 9 and 10 both, then it must be divisible by 90.(e) If two numbers are co-primes, at least one of them must be prime.(f) All numbers which are divisible by 4 must also be divisible by 8.(g) All numbers which are divisible by 8 must also be divisible by 4.(h) If a number exactly divides two numbers separately, it must exactly divide their sum.(i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.
Which of the following statements are true?(i) If a number is divisible by 3, it must be divisible by 9.(ii) If a number is divisible by 9, it must be divisible by 3.(iii) If a number is divisible by 4, it must be divisible by 8.(iv) If a number is divisible by 8, it must be divisible by 4.(v) A number is divisible by 18, if it is divisible by both 3 and 6.(vi) If a number is divisible by both 9 and 10, it must be divisible by 90.(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.(viii) If a number divides three numbers exactly, it must divide their sum exactly.(ix) If two numbers are co-prime, at least one of them must be a prime number.(x) The sum of two consecutive odd numbers is always divisible by 4.

Kickstart Your Career

Get certified by completing the course

Get Started

Using divisibility tests, determine which of the following numbers are divisible by 2 ; by 3 ; by 4 ; by 5 ; by 6 ; by 8 ; by 9 ; by 10 ; by 11 (say, yes or no):"

Kickstart Your Career

Using divisibility tests, determine which of the following numbers are divisible by 2 ; by 3 ; by 4 ; by 5 ; by 6 ; by 8 ; by 9 ; by 10 ; by 11 (say, yes or no):
"