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That is false. This type of statement is only true for prime numbers, not for compound numbers such as 6. Counterexample: 2 x 3 = 6

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Q: Is this statement true if the product of two integers is divisible by 6 one of the integers is also divisible by 6?
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Related questions

If a number is divisible by co prime numbers then it is also divisible by their?

It is divisible by their factors. It is also divisible by their product.


How many positive integers less than 100 and divisible by 3 are also divisible by 4?

8 of them.


Prove that if x and y are positive integers then x square plus y square is even but not divisible by 4?

The statement cannot be proven because it is FALSE. If one of x and y is odd and the other is even then x2 + y2 MUST be odd. Also if x and y are even then x2 + y2 MUST be divisible by 4. The statement is only true if x and y are odd integers. Whether or not they are positive makes little difference.


How do you get the integers that are divivible by 8?

Integers divisible by 8 have their last 3 digits divisible by 8. So: 2934829387957008 is divisible by 8 because the last three digits are divisible by 8 (008 / 8 = 1). 2348012934801298304400 is also (400 / 8 = 50). 123006 is not (006 / 8 = 0.75).


Are all numbers divisible by 3 also divisible by 6?

Talking in Integers only, then no. Example, 3 is not divisible by 6. Talking all natural numbers... then yes. 3 / 6 = 0.5


Are all numbers divisible by four divisible by two?

Yes. All numbers rationally divisible by 4 are also rationally divisible by 2.All numbers that when divided by 4 result in answers that are integers will also give answers that are integers when divided by 2, and so forth.For example: Let x/4=p,x/2=2.(x/4)=>x/2=2p.from the above illustration,it is clear that all the multiples of 4 are the multiples of 2.hence every number which is divisible by 4 is divisible by 2.


If you take the 3 numbers in any consecutive trio and multiply them together to get a new number that new number will always be a multiple of 6 why is this?

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Is it true or false that a number is divisible by 6 if and only if it is divisible by 3?

False. The question consists of two parts: - a number is divisible by 6 if it is divisible by 3? False. It must also be divisible by 2. - a number is divisible by 6 only if it is divisible by 3? This is true but the false part makes the whole statement false.


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13 and 14. Also negative 13 and negative 14.


How many integers between 1 and 1000 inclusive are divisible by 6 or 21 but not by 7?

There are no numbers that are divisible by 21 but not by 7 so the "or 21" part of the question can be ignored.There are 166 numbers between 1 and 1000 that are divisible by 6. However, 23 of those are also divisible by 7.So 166 - 23 = 143 numbers.


What is disparaging?

Product disparagement is an untrue statement about a product that causes harm to the product maker. Product disparagement is also called trade libel, product defamation, slander of goods, or commercial disparagement.