The eight-digit number ppppqqqq, where p and q are digits, is a multiple
of 45. What are the possible values of the eight-digit number? multiples

Answer:

There are two possible numbers: 99 990 000 and 44 445 555

Step-by-step explanation:

The multiples of 45 are 5 and 9

There are two possible numbers: 99 990 000 and 44 445 555.

Numbers are the numerical values like 1,2,3 etc.It is given that The eight-digit number ppppqqqq, where p and q are digits, is a multiple of 45.

Every multiple of 45 is a multiple of both 5 and 9 here P and Q are single-digit integers.

By using the rules of divisibility we can see that if q=0 or q =5 so 4P+4q is a multiple of 9.

If q=0 4P is a multiple of 9 P=9

If q =5 ( 4p + 5 ) is a multiple of 9

Hence p + 5 = 9 and p =4

Therefore there are two possible numbers: 99 990 000 and 44 445 555.

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