Why is 216

They should know it. I mean, I can certainly count binary values do basic operations on them, etc, etc. But I don't see what is "special" about this value. For a long time CPUs used bit architecture and OSes were likewise based on bit operations and "words". There were bit commands and bit memory addresses. So, 2 16 - 1 is special because it is the largest number that a bit unsigned integer can hold and the largest memory address that a bit architecture can access.

Candidates should know what bits and bytes are. They should be able to count in binary; e. I was thrown off from the bit you quoted in the question; it sounded like a candidate should be able to describe it's significance, but in context he's saying that candidates should know, off the top of their head, what the decimal conversion of 2 16 is.

The significance of this is that since we humans still use decimal for counting, especially in our heads in most circumstances , we need to know the rough capacities of the common byte blocks that we use for storage, memory, or even character encoding. Since a byte is 8 bits, the most common are 8, 16, 24, 32, and At the present time I would say 2 32 is the most commonly occurring capacity a developer deals with.

Total numbers between -2 15 and 2 15 A developer should know by heart what 8-bit is. I wouldn't expect a programmer to know 2 14 or 2 18 at all, but I would probably expect that they know 2 16 since it's a very commonly occurring number and short enough number to easily remember the full number.

The only reason I can see for regarding 2 16 as "special" is because it's one more than the highest integer you can store in a single register on a 16 bit operating system.

I'd need to know more context for the question before being able to say whether it was a significant piece of knowledge or not. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.

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Examples Follow the steps given below to find the factors of using prime factorization. Find the smallest prime number that divides exactly. Write the resultant after dividing by the smallest prime in one column. Again find the smallest prime that exactly divides the resultant obtained in step 2 and write the resultant.

Repeat step 3 until you reach the number 1. Factors of in Pairs Factor pairs are the pairs of numbers which when multiplied together gives a product that is equal to the original number.

All these pairs form the factor pairs of Important Notes: Factors of are the numbers that exactly divide The number has eight factor pairs. Factors of Solved Examples Example 1: Sally has many balloons and they are numbered 9, 36, 81, 54, 12, and Solution: Let's see the factors of 81 and Factors of 1, 3, 9, 27 , 81 Factors of 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, , and Hence, the numbers 9 and 27 are the common factors of 81 and Round 1 Round 2 Jolly 6, 3 3, 4 Jimmy 4, 2 5, 3 The one who finds the most factors in the 2 rounds is the winner.

Solution: Let's see the factors of and Factors of 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, , and Factors of 1, 5, 43, and Now, let's see the numbers formed by Jolly in both the rounds. In round 1, Jolly got the pair 6 and 3. In round 2, Jolly got the pair 3 and 4. Now, let's see the numbers formed by Jimmy in both the rounds.

In round 2, Jimmy got the pair 5 and 3. Neither 53 nor 35 is a factor of or Thus, we can see that Jolly identified more factors than Jimmy. Breakdown tough concepts through simple visuals. Math will no longer be a tough subject, especially when you understand the concepts through visualizations.

Interactive Questions. FAQs on Factors of What two numbers give you ? Factors of 1, 5, 43, and What is the prime factorization of ?