Question

00) All numbers which are divisible by 8 must also be divisible by 4.
th) If a number exactly divides wo numbers separately, it must exactly divide their
If a number exactly divides the sum of two numbers, it must exactly divide the two
numbers sparately
2. Here are two different factor trees for 60. Write the missing numbers.
(a)
10
(b
30all number which are divisible by 8 must be divisible by 4 T/F​

Answer 1

TRUE :   All numbers which are divisible by 8 must also be divisible by 4.  

Step-by-step explanation:

All numbers which are divisible by 8 must also be divisible by 4.  

This is True

Any number divisible by 8 will be of form 8k

8k = 2*4 * k =  4(2k)  

Hence always divisible by 4

If a number exactly divides two numbers separately, it must exactly divide their Sum

This is  True   .

Let Say number n divides a  & b exactly

=> a  = np    &  b = nq

a + b = np + nq  = n(p + q)

Hence Exactly divisible by n  

If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately

FALSE

8/4   =  2

8 = 3 + 5

3/4  & 5/4  are not exact division

60  

= 1 * 60

= 2 * 30

= 3 * 20

= 4 * 15

= 5 * 12

= 6 * 10

Learn more:

The least perfect square exactly divisible by each of the numbers 3 ...

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Answer 2

Step-by-step explanation:

All numbers which are divisible by 8 must also be divisible by 4.