Divisibility

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Now lets find all the numbers that are divisible by 2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

Even numbers are divisible by 2. Divisibility Rule for 2 Even numbers are divisible by 2. 2….4…6…1,260….1,849,848

All the numbers that are divisible by 3…

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Six is divisible by 3, so 132 is divisible by 3. Divisibility Rule for 3 If the sum of the digits in a counting number is divisible by 3, then the number is divisible by 3. 132  1+3+2 = 6 Six is divisible by 3, so 132 is divisible by 3.

Lets look at all the numbers that are divisible by 5

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

Counting numbers with 0 or 5 in the ones place are divisible by 5 Divisibility Rule for 5 Counting numbers with 0 or 5 in the ones place are divisible by 5 5…180…285…1,930

6 is a little tricky so look closely!

Here are the tables for 2 and 3… 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

…lets put them on top of each other. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

…it shows the numbers that are divisible by 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1 2 4 5 6 7 8 10 11 12 13 14 16 17 18 19 20 22 23 24 25 26 28 29 30 31 32 34 35 36 37 38 40 41 42 44 46 47 48 49 50 52 53 54 55 56 58 59 60 61 62 64 65 66 67 68 70 71 72 73 74 76 77 78 79 80 82 83 84 85 86 88 89 90 91 92 94 95 96 97 98 100 This is the table for numbers divisible by 3 put on top of the table for numbers divisible by 2… …it shows the numbers that are divisible by 6. This is the table for numbers divisible by 2…

252 is even so it is divisible by 2. Divisibility Rule for 6 If a counting number is divisible by both 2 and 3, then it is divisible by 6. 252 2+5+2 = 9 252 is even so it is divisible by 2. The sum of the digits of 252 add up to 9, which is divisible by 3, therefore, 252 is divisible by 3.

Lets look at all the numbers that are divisible by 9

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Divisibility Rule for 9 If the sum of the digits in a counting number is divisible by 9, then the number is divisible by 9. 45,144 4+5+1+4+4 = 18 1+8 = 9

All the numbers that are divisible by 10…

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

Counting numbers with 0 in the ones place are divisible by 10. Divisibility Rule for 10 Counting numbers with 0 in the ones place are divisible by 10. 10…50…230…23,480