Math and Arithmetic

# Are 9 and 10 divisible by 2 3 4 5 6 10?

012 ###### 2013-04-29 19:03:32

9 is divisible by 3

10 is divisible by 2, 5 and 10.

Everything else, no.

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## Related Questions 475 is evenly divisible by 5, but not by 2, 3, 4, or 10. No since only numbers in which its sum can be divisible by 3 is divisible by 3. 2 + 4 + 4 is 10, and 10 is not divisible by 3. It is only divisible by 3, and not 2, 4, 5, 6, or 10. 650130 is not divisible by 4, but it is divisible by 2, 3, 5, 6, and 10   It is divisible by 2 &amp; 3. It is not divisible by 5, 9 &amp; 10. 534 is even &rarr; divisible by 2 5 + 3 + 4 = 12 &rarr; divisible by 3 534 does not end in 0 or 5 &rarr; not divisible by 5 5 + 3 + 4 = 12 &rarr; not divisible by 9 534 does not end in 0 &rarr; not divisible by 10 From that list, 20 is divisible by 2, 4, 5 and 10. The number 44 is divisible by: 2 - 44/2 = 22 4 - 44/4 = 11 The number is not divisible by 3, 5, 6, or 10.   3 &lt;&gt;&lt;&gt;&lt;&gt; 3 is only divisible by 1 and itself. whereas 4 and 10 are divisible by other numbers. 4 is divisible by 1,2,4. 10 is divisible by 1,2,5,10 &lt;&gt;&lt;&gt;&lt;&gt; A prime number is a number that is evenly divisible only by itself and one. Therefore, 3 is the prime number. 4 is divisible by 1, 2, and 4. 10 is divisible by 1, 2, 5, and 10. Three cannot be divided evenly by any other whole number. So, 3 is the prime number. 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 Out of that list, 40 is divisible by 2, 4, 5, 8 and 10. Last digit (0) is even, so it is divisible by 2 4 + 3 + 2 + 0 = 9 which is divisible by 3, so it is divisible by 3 last digit is 0 or 5, so it is divisible by 5 4 + 3 + 2 + 0 = 9 which is divisible by 9, so it is divisible by 9 last digit is 0, so it is divisible by 10 &rarr; 4320 is divisible by all the numbers 2, 3, 5, 9, 10 712 is divisible by 2 because the digit at ones place is an even number. 712 is not divisible by 3 because the sum of the numbers(7+1+2=10) is not divisible by 3. 712 is divisible by 4 as the last two digits(12) are divisible by 4. 712 is not divisible by 5 because the last digit is neither 5 nor 0. 712 is not divisible by 6 because it is not divisible by 3. 712 is not divisible by 10 because the last digit is not 0. It's trivially obvious that it's NOT divisible by 5, since doesn't end in 5 or 0. That means it's also not divisible by 10. (Not all numbers that are divisible by 5 are divisible by 10, but every number that is divisible by 10 is also divisible by 5.) 1+0+4+4 = 9, so it is divisible by 3 (and by 9). It ends with a 4, so it's divisible by 2. The last two digits are 44, which is divisible by 4, so the entire number is divisible by 4. Being divisible by 2 and 3 means it's also divisible by 6. 2463. The trick is that a number is divisible by 3 if and only if the sum of its digits is divisible by 3. 1+3+2+4 = 10 (not divisible by 3), while 2+4+6+3 = 15 (divisible by 3). The least number divisible by 2, 3, 4, 5, 6, 9, and 10 is 180. No, it is not divisible by 123456 nor by 10.    144 is divisible by 2, 3, 4, 6, 9 and not divisible by 5 or 10.Divisible by 2The whole number is divisible by 2 if the number is even which is shown by the last digit being divisible by 2. The last digit of 144 is 4 and 4 is divisible by 2, thus 144 is divisible by 2.Divisible by 3The number is divisible by 3 if the sum of its digits is also divisible by 3. Sum of the digits of 144 is 1+4+4 = 9 which is divisible by 3, thus 144 is divisible by 3Divisible by 4The number is divisible by 4 is the last two digits is also divisible by 4. Last two digits of 144 are 44 which are divisible by 4, thus 144 is divisible by 4An alternative test: If the last digit plus twice the preceding digit is divisible by 4 then the whole number is divisible by 4.For 144, last digit + twice preceding digit is 4+2x4 = 12 which is divisible by 4, so 144 is divisible by 4Divisible by 5If the last digit is 0 or 5 then the number is divisible by 5 Last digit of 144 is 4 which is neither 0 nor 5, thus 144 is not divisible by 5Divisible by 6To be divisible by 6, the number must be divisible by both of 2 and 3. 144 is divisible by both 2 and 3 (see above), thus 144 is divisible by 6Divisible by 9If the sum of the digits of the number is divisible by 9, then the original number is divisible by 9. For 144, 1+4+4 = 9 which is divisible by 9, thus 144 is divisible by 9Divisible by 10To be divisible by 10, the last digit must be 0. The last digit of 144 is 4 which is not 0, thus 144 is not divisible by 10 198 is divisible by 2, 3, 6 and 9, not by 4, 5, 7, 8 and 10.

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