Definition for Difference between revisions of "Divisibility"
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(Created page with "If a and b are natural numbers, a is divisible by b if the operation of dividing a by b leaves a ''remainder of 0''. This is the same as saying that b is a divisor of a, o...") |
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| − | If a and b are [[natural number]]s, a is divisible by b if the operation of dividing a by b leaves a ''remainder of 0''. This is the same as saying that b is a divisor of a, or b divides a. All three statements are symbolized by writing: | + | If a and b are [[natural number]]s, a is divisible by b if the operation of dividing a by b leaves a ''remainder of 0''. This is the same as saying that b is a divisor of a, or b divides a. All three statements are symbolized by writing: bla. |
'''Example:''' We write 12|24 because 12 divides 24 or 24 divided by 12 leaves a remainder of 0. Thus, 24 is divisible by 12. | '''Example:''' We write 12|24 because 12 divides 24 or 24 divided by 12 leaves a remainder of 0. Thus, 24 is divisible by 12. | ||
'''Example:''' If we write 13|24, this means 13 divides 24 or 24 divided by 13 leaves a remainder of 0. But this is not true, thus, 13|24. | '''Example:''' If we write 13|24, this means 13 divides 24 or 24 divided by 13 leaves a remainder of 0. But this is not true, thus, 13|24. | ||
Revision as of 23:11, 24 September 2018
If a and b are natural numbers, a is divisible by b if the operation of dividing a by b leaves a remainder of 0. This is the same as saying that b is a divisor of a, or b divides a. All three statements are symbolized by writing: bla.
Example: We write 12|24 because 12 divides 24 or 24 divided by 12 leaves a remainder of 0. Thus, 24 is divisible by 12.
Example: If we write 13|24, this means 13 divides 24 or 24 divided by 13 leaves a remainder of 0. But this is not true, thus, 13|24.