Homework Soursea Is 43072 94824 divisible by 65 b Is the difference of 5300
a. Is 43072 94824 divisible by 65? b. Is the difference of 530,000 and 6123,456 a multiple of 31?
a. Is 43072 94824 divisible by 65? b. Is the difference of 530,000 and 6123,456 a multiple of 31?
a. Is 43072 94824 divisible by 65? b. Is the difference of 530,000 and 6123,456 a multiple of 31?
Solution
a) 43072-94824 = -51752
We have 65 = 5* 13.
If 51752 is divided by 65 then it should be divided by 5 and also by 13.
If a number is divisible by 5 then the least significant digit of the number should be either 0 or 5. Here the rightmost digit or Least significant digit is 2. So -51742 is not divisible by 5 and hence -51742 is not divisible by 65
b) 6123456 - 530000 = 5593456 = 24* 11*61*521
Here 521 and 61 and 11 are prime number. And the product(24 * 11 *61*521) of any of these combinations are not divisible by 31 (31 is also a prime number). Therefore the difference 6123456 of 530000 is not divisible by 31.
