Divisible by 6
324
Is this number divisible by 6? Why or Why not?
Yes, because it is divisible by 3 (digits add to 9) and it is even so it is divisible by 2.
Is 294 divisible by 7?
Yes. 29 - 4(2) = 21 which is divisible by 7.
Is 216 divisible by 8? Why or Why not?
Look at the last 3 digits and 216 is divisible by 8. 216/8 = 28
Is 3,672 divisible by 9? Why or Why not?
Yes. The digits add to 18.
Is 4,356 divisible by 11? Why or Why not?
Yes. 4 + 5 - (3 + 6) = 9
9 - 9 = 0
1458
Is this number divisible by 6? Why or Why not?
Yes. Because it is divisible by 3 (digits add to 18) and it is even so divisible by 2.
Is 1,358 divisible by 7? Why or why not?
Yes. 135 - 8(2) = 135 - 16 = 119. And 11 - 9(2) = -7
Is 1,432 divisible by 8? Why or Why not?
Yes. 432 is divisible by 8. 432/8 = 54
Is 8,146 divisible by 9? Why or Why not?
No. The digits add to 19, which is not divisible by 9.
Is 7,293 divisible by 11? Why or Why not?
Yes. 7 + 9 - (2 + 3 ) = 16 - 5
16 - 5 = 11
A factory produces 2,734 items in one day. Can the items be divided evenly into groups of 6?
No. It is even and divisible by2, but the digits add to 16 so not divisible by 3.
Is 2401 divisible by 7? Why or Why not?
Yes. 240 - 1(2) = 240 - 2 = 238 And 23 - 2(8) = 23 - 16 = 7
Is 5,178 divisible by 8? Why or Why not?
No. 178 is not divisible by 8. 178/8 = 22.25
Is 54,738 divisible by 9? Why or why not?
Yes. The digits add to 27, which is divisible by 9.
Is 12,858 divisible by 11? Why or Why not?
No. 1 + 8 + 8 - (2 + 5) = 17 - 7
17 - 7 = 10
Is 9,126 divisible by 6?
Yes. The digits add to 18 so it is divisible by 3, and it is even so it is divisible by 2.
A teacher has 849 pencils and wants to divide them evenly among 7 classes. Will there be any pencils left over?
Yes. 84 - 9(2) = 84 - 18 = 66. 66 is not divisible by 7. There is a remainder of 3 so there will be 3 left over.
A number ends in the digits 7, 3, and 6. Is the number divisible by 8? Why or Why not?
Yes. 736/8 = 92
Is 902,176 divisible by 9? Why or Why not?
No. The digits add to 25 which is not divisible by 9.
Is 58,641 divisible by 11? Why or Why not?
Yes. 5 + 6 + 1 - (8 + 4) = 12 - 12
12 - 12 = 0
A teacher has 7,854 pencils and wants to pack them into boxes of 6 with none left over. Will this work?
Yes. The digits add to 24 so it is divisible by 3 and it is even so it is divisible by 2.
Which of the following numbers is divisible by 7?
A) 1,764
B) 1,770
C) 1,782
D) 1,799
A. 176 - 4(2) = 176 - 8 = 168. And 16 - 8(2) = 0.
A number is formed by writing 24 at the end of any whole number. Is the resulting number always divisible by 8?
No. even though the the last 2 digits are divisible by 8. If the last 3 digits were 124, 124/3= 41.33
A charity prints 1,306,917 flyers for a nationwide campaign. The flyers must be packed into boxes so that each box contains exactly the same number of flyers, with no flyers left over. The manager wants to know if the flyers can be packed into groups of 9.
Yes. The digits add up to 27.
Is 902,374 divisible by 11? Why or Why not?
Yes. 9 + 2 + 7 - (0 + 3 + 4) = 18 - 7
18 - 7 = 11