Find Multiples and Factors: example 2.45

Determine whether $5,625$ is divisible by $2, 3, 5, and 10 .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Table 2.12 applies the divisibility tests to $5,625$ and tests the results by finding the quotients.

Divisible by…?	Test	Divisible?	Check
$2$	Is last digit $0, 2, 4, 6, or 8 ?$ No.	no	$5625 \div 2 = 2812.5$
$3$	$Is sum of digits divisible by 3 ?$ $5 + 6 + 2 + 5 = 18$ Yes.	yes	$5625 \div 3 = 1875$
$5$	Is last digit is $5$ or $0 ?$ Yes.	yes	$5625 \div 5 = 1125$
$10$	Is last digit $0 ?$ No.	no	$5625 \div 10 = 562.5$

Table 2.12

Thus, $5,625$ is divisible by $3$ and $5,$ but not $2,$ or $10 .$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Determine whether the given number is divisible $by 2, 3, 5, and 10 .$

$4962$

How did it go?