Divisibility Rules Word Problems

Farmer Clare picked 88 sweet potatoes. She needs to divide the sweet potatoes into bags to sell at the market. Farmer Clare wants to put the same number of sweet potatoes in each bag with no sweet potatoes left over. How many sweet potatoes could Farmer Clare put in each bag?

• 2

• 5

• 6

• 10

Cindy made 250 greeting cards to sell. She will sell the cards by the box, with the same number of cards in each box and no cards left over. How many cards could Cindy put in each box?

• 4

• 5

• 6

• 9

Farmer Christina collected 90 eggs to sell. She will sell the eggs in baskets. She wants to put the same number of eggs in each basket without any eggs left over. How many eggs could Farmer Christina put in each basket?

• 3

• 4

• 5

• 10

Is 36,928 divisible by 4?

• Yes, because the sum of the digits is a multiple of 4

• Yes, because it is an even number

• Yes because the last two digits (28) are divisible by 4

• Yes, because it is divisible by 2 and 3

First, determine what is your divisor. Then, divide to find out Tony's amount. Finally, multiply to get Duane's amount.

• Tony = 17 cards Duane = 208 cards

• Tony = 191 cards Duane = 17 cards

• Tony = 1 card Duane = 12 cards

• Tony = 16 cards Duane = 192 cards

7,154 is divisible by 2.

• False because the digit in the thousands place is an odd number.

• False because the sum of the digits (7 + 1 + 5 + 4) is 17 which is an odd number.

• True because the digit in the ones place is a 4, and 4 is an even number.

• True because the number in the thousands place is a 7.

462 is divisible by 3.

• True because 4 + 6 + 2 = 12 and 12 is a multiple of 3.

• True because the number in the ones place is even.

• False because the number in the ones place is not a 3, 6, or 9

• True because it contains a 6 which is a multiple of 3.

278,190 is divisible by 5

• False because it is a very large number.

• True because the number in the ones place is an even number.

• False because the number in the ones place is a 0.

• True. If the number in the ones place is a 0 or 5, then the number is able to be divided by 5.