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1. Multiples of 4 include 4, 8, 12, 16, 24, 40, 80, and 100. Based on these multiples, determine whether 124 is divisible by 4.

124 is divisible by 4 since [tex]$4 \times 31 = 124$[/tex].

Afterward, conjecture a divisibility rule for 4.

Answer :

To determine if 124 is divisible by 4, we can use a divisibility rule for 4. The rule states that a number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Let's apply this rule to the number 124:

1. Look at the last two digits of 124, which are "24."
2. Determine if 24 is divisible by 4. We know:
[tex]\[
24 \div 4 = 6
\][/tex]
With no remainder, this means 24 is divisible by 4.

Since 24 is divisible by 4, according to the rule, 124 is also divisible by 4.

Therefore, 124 is divisible by 4. As a result, we can conclude:

- The calculation of [tex]\( 4 \times 31 = 124 \)[/tex] confirms that 124 is exactly divisible by 4, with no remainder.

In summary, our divisibility rule for 4 is: A number is divisible by 4 if the last two digits of the number form a number that is divisible by 4.

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