if 4 is the HCF of 16 and x, find the three possible values of x

Question

if 4 is the highest common factors of 16 and x, find the three possible values of x

我只算到4

Answer 1

4 is 2x2 and 16 is 2x2x2x2.

If the H.C.F. of x and 16 is 4, then x=4xm=2x2xm where m is not a multiple of 2. It is because, if m is a multiple of 2, then the H.C.F. of 16 and x wouldn't be 4 but larger then four.

Hence, the possible value of x can be any numbers that is 4xm where m is not a multiple of 2.

For example: 12(4x3), 28 (4x7) but not 24(4x6)because 6 is an multiple of 2.

Wish this can help you.

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Comments

感恩的心感谢有你
谢谢～～

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不客气:D

Answer 2

x can be 4, 12 or 20

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感恩的心感谢有你
谢谢～～

Answer 3

先列出4的multiples:

4, 8, 12, 16, 20, 24, 28, 32, ...

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然后算出这些号码和16的HCF:

4,16=4

8,16=8

12,16=4

20,16=4

24,16=8

28,16=4

32,16=16

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写出HCF=4的号码:

4,12,20,28

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以上的号码选3个

Comments

感恩的心感谢有你
谢谢～～

Answer 4

To find the possible values of x when 4 is the highest common factor of 16 and x, we need to determine the factors of 16 and find the common factors with 4.The factors of 16 are: 1, 2, 4, 8, 16.The common factors of 16 and 4 are: 1 and 4.Therefore, the three possible values of x are: 4, 8, and 16.