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IS 8003 divisible by 11?
If the sum of the digits in the odd positions starting from the ones digit less the sum of the digits in the even positions (starting with the 10s digit) is divisible by 11, then so is the original number. for 8003: odd position digits: 3 + 0 = 3 even position digits: 0 + 8 = 8 3 - 8 = -5 which is not divisible by 11, so 8003 is NOT divisible by 11.
What are the divisibility rules to determine which numbers 330 is divisible by from the numbers 2 3 5 7 11 and what are those numbers?
To be divisible by 2 the last digit must be even, ie one of {0, 2, 4, 6, 8}; The last digit is 0, which is one of these so 330 is divisible by 2. 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. 330→ 3 + 3 + 0 = 6 6 is one of {3, 6,9} so 330 is divisible by 3. To be divisible by 5, the last digit must be one of {0, 5}. The last digit is 0 which is one of {0, 5} so 330 is divisible by 5. There is no real check for 7 which is not much slower than just dividing by 7 to see if there is no remainder. One check: Write the digits in blocks of 3 starting from the right hand end (like you would for reading the number): in each block of 3 add twice the first digit to three times the second digit to the third digit. Alternately subtract and add the blocks starting from the right hand end of the number. If the result is divisible by 7, then so is the original number. 330 → 2×3 + 3×3 + 0 = 15 15 is not divisible by 7, so 330 is not divisible by 7. To be divisible by 11, alternately subtract and add the digits of the number from the right hand end; only if this sum is divisible by 11 (or is 0) is the original number divisible by 11. 330 → 0 - 3 + 3 = 0 0 is 0, so 330 is divisible by 11. Therefore 330 is divisible by 2, 3, 5, 11 But not divisible by 7.
What is the divisibility rule for ten?
If a number ends with 0, it is divisible by 10.If a number ends with 0, it is divisible by 10.If a number ends with 0, it is divisible by 10.If a number ends with 0, it is divisible by 10.
How do you tell if a number is prime or not?
A prime number is one that has only two factors: one and itself.You can tell if a number is prime quickly by using the Laws of Divisibility:Numbers that end in 0, 2, 4, 6, and 8 are divisible by 2.If the sum of a number's digit is divisible by 3, the number itself is divisible by 3.If the last two digits of a number are divisible by 4, the number itself is divisible by 4.If a number ends in 0 or 5, it is divisible by 5.If a number is divisible by both 2 and 3, it is divisible by 6.If you double the last digit and subtract it from the rest of the number and the answer is 0 or divisible by 7, it is divisible by 7. For example, 4364: 4 doubled is 8. 436 - 8 = 424. You still cannot readily tell if the number is divisible by 7, so you can do it again: 4 doubled is 8. 42 - 8 = 34. 34 is not divisible by 7 so 436 is not divisible by 7If the last three digits of a number are divisible by 8, the number itself is divisible by 8.If the sum of the digits of a number is divisible by 9, the number itself is divisible by 9.If a number ends with 0, it is divisible by 10.If you add every other digit and then subtract the rest of the digits and the answer is 0 or is divisible by 11, the number itself is divisible by 11. For example: 1364: 1+ 6 = 7 and 7 - 3 - 4 = 0. The number is divisible by 11.If the number is divisible by 3 and 4, it is divisible by 12.There are more divisibility rules that can be used for large numbers.
Is 0 divisible by 2 and 3?
yes, 0 is divisible by everything.
