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The Number Theory

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The Number Theory

1. 1. 2 Number ends in 0,2,4,6,8.(The 9,489,994 ends in 4, it is last digit is even.) divisible by 2. 3 Sum of the digits is divisible by 3 897,432 is divisible by 3, since 8+9+7+4+3+2=33. 4 Last two digits form a number 7,693,432 is divisible by 4, divisible by 4. since 32 is divisible by 4. 5 Number ends in 0 or 5. 8900 and 7635 are divisible by 5. 6 Number is divisible by both 2 and 27,342 is divisible by 6 since 3. it is divisible by both 2 and 3. 8 Last three digits form a number 1,437,816 is divisible by 8, divisible by 8. since 816 is divisible by 8. 9 Sum of the digits is divisible by 9. 428,376,105 is divisible by 9 since the sum of digits is 36, which is divisible by 9. 10 Last digit is 0 897,4663,940 is divisible by 10 12 Number is divisible by both 4 and 376,984,032 is divisible by 3. 12.
2. 2. 123,216 2 Number ends in 0,2,4,6,or 8.( The last digit is even) The last digit,8, is an even number therefore the 123,216 is divisible by 2. 3 Sum of the digits is divisible by 3. The sum of the digits,15, is divisible by 3 therefore 123,216 is divisible by 3. 4 Last two digits for a number divisible by 4. The last two digits 16, are divisible by 4 therefore 123,216 is divisible by 4.
3. 3. 5 Number ends in 5 or 0 6 Number is divisible by both 2 and 3 8 Last three digits form a number divisible by 8
4. 4. Sum of the digits is divisible by 9 9 10 The last digits is 0 12 The number is divisible by both 4 and 3.
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