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To find a 4-digit number that is divisible by both 8 and 9, we need to find a number that is a multiple of the least common multiple of 8 and 9, which is 72. Starting from the smallest 4-digit multiple of 72, which is 1008, we can find the next number by adding 72 until we reach a 4-digit number. Therefore, the smallest 4-digit number that is divisible by both 8 and 9 is 1008.
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Is 211032 divisible by 4?
Yes. To check if a number is divisible by 4, if the last 2 digits (as a number) are divisible by 4, so is the original number. 32 = 4 x 8 so as 32 is divisible by 4, so is 211032. An alternative test for 4: add the last digit to twice the preceding digit, and if this sum is divisible by 4 so is the original number. This can be repeated until a single digit remains which must be 4 or 8 (to be divisible by 4) if the original number is divisible by 4. for 211032: 2 + 3x2 = 8 → [single digit 8 which] is divisible by 4, so 211032 is also divisible by 4.
What 4 digit number divisible by 5 and 8?
4000
Is 100 divisible by 8?
No. To test if a number is divisible by 8: * first all multiples of 8 are even, so the number must be even; * then: add 4 times the hundreds digit to twice the tens digit to the ones digit - if this sum is divisible by 8, then so is the original number. As the test can be applied to the sum, repeating this summing until a single digit remains, only if this single digit is 8 is the original number divisible by 8. For 100: 4x1 + 2x0 + 0 = 4 which is not 8, so 100 is not divisible by 8.
What is the smallest 4 digit number divisible by 8?
10001000/8 = 125
What 4 digit number that is divisible by both 3 and 8?
2400
