Question

ivan wants give his friend 16 books he wants to pack the books in different boxes such that each box has the same number of books what are the various combinations he can use to pack books?​

Answer 1

Answer:

4,2,8

Step-by-step explanation:

Answer 2

Various combinations that Ivan can use to pack books are such that he can keep in each box 1, 2, 4, or 8 books.

• It can be seen that here, the total number of books is 16.
• Ivan wants to pack these 16 books in a way that each box has an equal number of books.
• So, we can see that an equal number of books in each box is possible if 16 is divided completely into equal parts.
• It is only possible when the number of books in each box is a factor of 16.
• The factors of 16 we have, are 1, 2, 4, 8, and 16.
• So, by keeping 1, 2, 4, 8, or 16 books in each box, all the boxes will have the same number of books. But with 16 in a box, only a single box will remain, so it won't be considered.
• The number of boxes will be 16 with 1 in each box, 8 with 2 in each box, 4 with 4 in each box, or 2 with 8 in each box.
• Thus, various combinations that Ivan can use to pack books are such that he can keep in each box 1, 2, 4, or 8 books.

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