by Mr Johari

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The table above shows 2 categories of numbers as depicted by the blue and white shadings. identify these categories of numbers and give 2 additional examples each per category.

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post your responses as a 'comment'

White shadings - Prime Numbers ( examples: 11, 13...)

ReplyDeleteBlue shadings - Composite Numbers ( examples: 99, 100)

( As for one, since it is supposedly, neither prime nor composite, so I am currently unsure why is it under the blue shading...)

"One is neither a prime nor a composite number. A prime number is one

Deletewith exactly two positive divisors, itself and one. One has only one

positive divisor. It cannot be written as a product of two factors,

neither of which is itself, so one is also not composite. It falls

in a class of numbers called units. These are the numbers whose

reciprocals are also whole numbers." http://mathforum.org/library/drmath/view/57036.html

The white shadings are prime numbers (e.g. 5 and 7).

ReplyDeleteThe blue shadings are composite numbers(e.g. 55 and 78).

White shadings are prime numbers. (e.g. 87,99)

ReplyDeleteBlue shadings are composite numbers (e.g. 4,6)

I agree with Xue qin, but they are using the sieve of erasthotenes(sorry if it's spelt wrongly) method, so they just shaded 1 blue, right?

"One is neither a prime nor a composite number. A prime number is one

Deletewith exactly two positive divisors, itself and one. One has only one

positive divisor. It cannot be written as a product of two factors,

neither of which is itself, so one is also not composite. It falls

in a class of numbers called units. These are the numbers whose

reciprocals are also whole numbers." http://mathforum.org/library/drmath/view/57036.html

Numbers in White are prime numbers (eg. 31, 67)

ReplyDeleteNumbers in Blue are composite number (eg. 45 , 78)

@lynette and @Xue qin , i got this explanation which answers your question . "One is neither a prime nor a composite number. A prime number is one

with exactly two positive divisors, itself and one. One has only one

positive divisor. It cannot be written as a product of two factors,

neither of which is itself, so one is also not composite. It falls

in a class of numbers called units. These are the numbers whose

reciprocals are also whole numbers." http://mathforum.org/library/drmath/view/57036.html

White numbers prime (7, 11)

ReplyDeleteBlue numbers composite(21, 93)

The numbers shaded white are prime numbers. e.g. 101,103

ReplyDeleteThe numbers shaded blue are composite numbers. e.g 102, 104

White is prime numbers.

ReplyDeleteBlue is composite numbers.

e.g (White): 13,47

Delete(Blue) : 68,99

The numbers in white are prime numbers such as 3,5,7

ReplyDeleteThe numbers in blue are composite numbers like 4,6,8

White: Prime Numbers

ReplyDeleteBlue: Composite Numbers

White: Prime numbers (eg. 3,5,)

ReplyDeleteBlue: Composite numbers (eg. 1,4)

White: Prime numbers (2,3,5,7,11,etc)

ReplyDeleteBlue: Composite numbers (4,6,8,9,10, etc)

The numbers in white are prime numbers whereas the numbers in blue are composite numbers

ReplyDeleteWhite shadings- Prime numbers (eg. 2, 3, 5, 7 etc)

ReplyDeleteBlue shadings- Composite numbers (e.g. 4, 6, 8, 9 etc)