The teacher asked if 14560 is divisible by all of 2, 4, 5, 8 and 10. Guna checked for divisibility Class 6

The teacher asked if 14560 is divisible by all of 2, 4, 5, 8 and 10. Guna checked for divisibility Class 6

Question 1.

The teacher asked if 14560 is divisible by all of 2, 4, 5, 8 and 10. Guna checked for divisibility of 14560 by only two of these numbers and then declared that it was also divisible by all of them. What could those two numbers be? Class 6

Solution:

These two numbers could be 8 and 5. It is because the number divisible by 8 will definitely be divisible by 2 and 4 also and the number divisible by 5 and 2 will be divisible by 10 also.

Question 2.

Which of the following numbers are divisible by all of 2, 4, 5, 8 and 10 : 572, 2352, 5600, 6000, 77622160. Class 6

Solution:

Of the given numbers 5600, 6000, 77622160 are divisible by both 8 and 5. So, these three numbers are divisible by 2, 4, 5, 8 and 10 also.

Question 3.

Write two numbers whose product is 10000. The two numbers should not have 0 as the units digit. Class 6

Solution:

10000 = 5 × 5 × 5 × 5 × 2 × 2 × 2 × 2.

For the two numbers to be without unit digit 0, we must have the two numbers as 5 x 5 x 5 x 5 and 2 x 2 x 2 x 2. Thus, the two numbers are 625 and 16.