Answer :
There are 120 whole numbers less than 143 that are relatively prime to 143.
To solve this problem, we need to find the number of positive integers less than 143 that are relatively prime to 143.
Since 143 = 11 × 13, a positive integer less than 143 is relatively prime to 143 if and only if it is not divisible by 11 or 13.
The number of positive integers less than 143 that are divisible by 11 is given by ⌊143/11⌋ = 13. Similarly, the number of positive integers less than 143 that are divisible by 13 is given by ⌊143/13⌋ = 11.
However, we have double-counted the integers that are divisible by both 11 and 13 (i.e., the multiples of 143). There is only one such integer, namely 143 itself.
Therefore, the total number of positive integers less than 143 that are relatively prime to 143 is:
143 - 13 - 11 + 1 = 120
So there are 120 whole numbers less than 143 that are relatively prime to 143.
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