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If 4 is divisible by a number will 8 be too?
4 is divisible by 1, 2 and 4. So is 8. If a number is divisible by 8, it will also be divisible by 4.
Is a number divisible by 4 also a divisible by 8?
Every other number: 8, 16, 24, 32, 40... No, a number can be divisible by 4 but not divisible by 8; an example is 12.
Is it true that a number is divisible by 8 if it divisible by 4 and divisible by 2?
Being divisible by 4, means that it will also be divisible by 2, so that doesn't tell you anything about divisibility by 8. But if you divide the number by 2, and this quotient is divisible by 4, then yes the original number is divisible by 8.
Any number that is divisible by 4 is also divisible by 8 find a counterexample to show the conjecture is false?
4 divides 4 (once), but 4 is not divisible by 8. ■
Why is a number that is divisible by 8 also divisible by 4?
Because 8 is divisible by 4. So of course if 8 goes into a number, 4 will too. The number 24 for example. 8 * 3 = 24 and 4 * 6 = 24. 4 is half of 8. So 4 can go into anything 8 can, but twice as many times.
