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By "Why" I guess you mean "what test can be used to find the divisibility" as opposed to "showing what multiple works".
Test of divisibility by
- 4
564 → 64 which is divisible by 4 (64 = 4 x 16), so 564 is divisible by 4
(564 = 4 x 141)
- 6
- 2
564 → 4 which is even (4 = 2 x 2), so 564 is divisible by 2
(564 = 2 x 282)
- 3
564 → 5 + 6 + 4 = 15 which is divisible by 3 (15 = 3 x 5), so 564 is divisible by 3
(564 = 3 x 188)
564 passes both tests, so it is divisible by 6 (564 = 6 x 94)
- 9
564 → 5 + 6 + 4 = 15 which is not divisible by 9, so 564 is not divisible by 9
Thus 564 is divisible by 4 and 6, but not by 9.
In the tests for 3 and 9, if the result of the addition is more than 1 digit, the test can be reapplied to the result of the addition, so if the digits of sum are added together until a single digit remains, then
- if the digit is 3, 6 or 9, it is divisible by 3 and so the original number is divisible by 3
- if it is 9, then the original number is also divisible by 9.
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What is 1 x 6 x 9 4?
564
Is 1 2 7 3 6 divisible by 4 and 9?
1, 2, 7, 3 and 6 are not divisible by 4 and/or 9. 12736 is divisible by 4 but not by 9.
Which of these numbers is divisible by 3 6and 9 369 246 468 or 429?
To determine which number is divisible by 3, 6, and 9, we need to check if the sum of the digits of each number is divisible by 3. For 369: 3+6+9 = 18, which is divisible by 3, 6, and 9. Therefore, 369 is divisible by 3, 6, and 9. For 246: 2+4+6 = 12, which is divisible by 3 but not by 6 or 9. Therefore, 246 is divisible by 3 but not by 6 or 9. For 468: 4+6+8 = 18, which is divisible by 3, 6, and 9. Therefore, 468 is divisible by 3, 6, and 9. For 429: 4+2+9 = 15, which is divisible by 3 but not by 6 or 9. Therefore, 429 is divisible by 3 but not by 6 or 9. Therefore, the numbers 369 and 468 are divisible by 3, 6, and 9.
Is 2040 divisible by 9?
No. 2 + 0 + 4 + 0 = 6 which is not 9, so 2040 is not divisible by 9.
Is 968 divisible by 2 3 4 5 6 9 or 10?
Its divisible by 2 and 4.
Can three go into 564?
Yes. It goes in 188 times. --------------------------------------- To be divisible by 3, sum the digits of the number and if this sum is divisible by 3, then the original number is divisible by 3. As the test can be repeated on the sum, repeat the summing until a single digit remains; only if this number is one of {3, 6, 9} is the original number divisible by 3. For 564 this gives: 564 → 5 + 6 + 4 = 15 15 → 1 + 5 = 6 6 is one of {3, 6,9} so 564 is divisible by 3.
What is 1 x 6 x 9 4?
564
Is 1 2 0 3 6 divisible by 4 and 9?
not divisible by 9.but it is divisible by 4.
Is 1 2 7 3 6 divisible by 4 and 9?
1, 2, 7, 3 and 6 are not divisible by 4 and/or 9. 12736 is divisible by 4 but not by 9.
Which of these numbers is divisible by 3 6and 9 369 246 468 or 429?
To determine which number is divisible by 3, 6, and 9, we need to check if the sum of the digits of each number is divisible by 3. For 369: 3+6+9 = 18, which is divisible by 3, 6, and 9. Therefore, 369 is divisible by 3, 6, and 9. For 246: 2+4+6 = 12, which is divisible by 3 but not by 6 or 9. Therefore, 246 is divisible by 3 but not by 6 or 9. For 468: 4+6+8 = 18, which is divisible by 3, 6, and 9. Therefore, 468 is divisible by 3, 6, and 9. For 429: 4+2+9 = 15, which is divisible by 3 but not by 6 or 9. Therefore, 429 is divisible by 3 but not by 6 or 9. Therefore, the numbers 369 and 468 are divisible by 3, 6, and 9.
501264 is divisible by 2 3 4 5 6 9 10?
It is divisible by 2, 3, 4, 6 and 9.
Is 2040 divisible by 9?
No. 2 + 0 + 4 + 0 = 6 which is not 9, so 2040 is not divisible by 9.
Is 78 divisible by 6 and 9?
Using the tests for divisibility:Divisible by 3:Add the digits and if the sum is divisible by 3, so is the original number: 6 + 8 + 4 = 18 which is divisible by 3, so 684 is divisible by 3Divisible by 6:Number is divisible by 2 and 3: Divisible by 2:If the number is even (last digit divisible by 2), then the whole number is divisible by 2. 684 is even so 684 is divisible by 2.Divisible by 3:Already shown above to be divisible by 3. 684 is divisible by both 2 & 3 so 684 is divisible by 6Divisible by 9:Add the digits and if the sum is divisible by 9, so is the original number: 6 + 8 + 4 = 18 which is divisible by 9, so 684 is divisible by 9Thus 684 is divisible by all 3, 6 & 9.
Is 968 divisible by 2 3 4 5 6 9 or 10?
Its divisible by 2 and 4.
What is 17211 divisible by 2 3 4 5 6 9 10?
It is divisible only by 3; It is not divisible by 2, 4, 5, 6, 9, 10. 17211 is odd, so not divisible by 2, 4, 6 nor 10. 1 + 7 + 2 + 1 + 1 = 12 which is divisible by 3, so 17211 is divisible by 3, but 12 is not divisible by 9, so 17211 is not divisible by 9. 17211 does not end in 5 or 0 so not divisible by 5
Is 741 divisible by 3 4 5 6 9 10?
7 + 4 + 1 = 12 which is divisible by 3, so 741 is divisible by 3 741 is odd, all multiples of 4 are even, 741 is not divisible by 4 (Alternatively 4 x 2 + 1 x 1 = 9 which is not divisible by 4, so 741 not divisible by 4) All multiples of 5 end with 5 or 0, 741 ends with 1, so 741 not divisible by 5 To be divisible by 6, the number must be divisible by 2 (even) and divisible by 3.741 is odd, so not divisible by 2, so 741 is not divisible by 6 7 + 4 + 1 = 12 which is not divisible by 9, so 741 is not divisible by 9 All multiples of 10 end with 0, 741 ends with 1 so 741 is not divisible by 10 Summary: 741 is divisible by 3, but not by 4, 5, 6, 9 nor 10.
What is the smallest number that is divisible by 4 6 7 and 9?
LCM(4, 6, 7, 9) = 252
