HW 2025-02-21 Written Solution

Front

What is a six-digit number that starts with 523 and is divisible by 7, 8, and 9?

Back

523152, 523656

Front

What is the smallest 5-digit palindrome that is a multiple of 99?

Back

54945

Front

What is the least number greater than 9000 that is divisible by 11?

Back

9009

Front

If the five-digit number 5DDDD is divisible by 6, what is the digit D?

Back

4

Front

What is the smallest positive multiple of 15 such that every digit of n is either 0 or 8? Compute n/15.

Back

592

Front

Define a palindrome in mathematics.

Back

A palindrome is a number that reads the same forwards and backwards.

Front

What is the divisibility rule for 7?

Back

A number is divisible by 7 if removing the last digit, doubling it, and subtracting from the rest of the number results in a number divisible by 7.

Front

What is the divisibility rule for 8?

Back

A number is divisible by 8 if the last three digits form a number that is divisible by 8.

Front

What is the divisibility rule for 9?

Back

A number is divisible by 9 if the sum of its digits is divisible by 9.

Front

What is the significance of the number 15 in terms of its factors?

Back

15 is the product of the prime numbers 3 and 5.