¡¡¡¡1.Òò×Ó£ºfactor or divisor
¡¡¡¡If x and y are integers and x¡Ù0,x is a divisor (factor) of y provided that y=xn for some integer n. In this case y is also said to be divisible by x or to be a multiple of x. For example, 7 is a divisor or factor of 28 since 28=7•4, but 8 is not a divisor of 28 since there is no integer n such that 28=8n.Divisible adj.¿ÉÒÔ±»Õû³ýµÄ¡¡¡¡multiple¡¡n.±¶Êý
¡¡¡¡2.É̺ÍÓàÊý£ºquotients and remainders
¡¡¡¡ÓàÊýºÍÉ̶¼¿ÉÒÔΪ0
¡¡¡¡3.ÆæÊýºÍżÊý£ºodd and even integers
¡¡¡¡ÆæÊýºÍżÊý¶¼¿ÉÒÔÊǸºÊý£»ÁãÒ»¶¨ÊÇżÊý
¡¡¡¡4.ÖÊÊýºÍºÏÊý£ºprime numbers and composite numbers
¡¡¡¡A prime number is a positive integer that has exactly two different positive divisors£¬1 and itself. For example, 2,3,5,7,11, and 13 are prime numbers, but 15 is not, since 15 has four different positive divisors, 1, 3, 5, and 15. The number 1 is not a prime number, since it has only one positive divisor. Every integer greater than 1 is either prime or can be uniquely expressed as a product of prime factors. For example, 14= (2) (7), 81= (3) (3) (3) (3), and 484= (2) (2) (11) (11).
¡¡¡¡×¢:³ýÁË1ºÍÆä±¾ÉíÍâ,»¹ÓÐÆäËûÒò×ÓµÄÊý½ÐºÏÊý¡£×îСµÄÖÊÊýΪ2£¬×îСµÄºÏÊýΪ4£¬ÔÚÌÖÂÛÖÊÊýºÍºÏÊýʱ£¬¶¼Ö¸ÕýÊý¡£1ºÍ0¼È²»ÊÇÖÊÊý£¬Ò²²»ÊǺÏÊý¡£
¡¡¡¡5.ÕûÊýÖеÄÖØÒª¸ÅÄ
¡¡¡¡* Perfect squareêȫƽ·½Êý£¬ÖîÈ? = 32
¡¡¡¡* Perfect cube¡¡ÍêÈ«Á¢·½Êý£¬ÖîÈç8 = 23
¡¡¡¡* the greatest common divisor¡¡×î´ó¹«Ô¼Êý
¡¡¡¡¼¸¸öÊýËù¹«ÓеÄ×î´óÒò×Ó³Æ×î´ó¹«Ô¼Êý£¬ÖîÈ磺48Óë36µÄ¹«Òò×ÓÓÐ1£¬2£¬3£¬4£¬6£¬12£¬ÆäÖÐ12Ϊ×î´ó¹«Ô¼Êý¡£
¡¡¡¡* the least common multiple×îС¹«±¶Êý
¡¡¡¡¼¸¸öÊýËù¹«ÓеÄ×îС±¶Êý³Æ×îС¹«±¶Êý£¬ÖîÈ磺3£¬7ºÍ14µÄ×îС¹«±¶ÊýΪ42¡£
¡¡¡¡*Á¬ÐøÕýÕûÊýµÄËãÊõƽ¾ùÖµÒ²ÊÇÊ×ÏîºÍÄ©ÏîµÄËãÊõƽ¾ùÖµ¡£
¡¡¡¡Í¬Àí£¬Á¬ÐøÆæÊýÓëÁ¬ÐøÅ¼ÊýµÄËãÊõƽ¾ùÖµÒ²ÊÇÊ×ÏîºÍÄ©ÏîµÄËãÊõƽ¾ùÖµ¡£
¡¡¡¡* the properties of the number of factorsÒò×Ó¸öÊýµÄÌØÐÔ£º
¡¡¡¡1)µ±Ò»¸öÕýÕûÊýnÓÐÆæÊý¸öÒò×Ó£¬Ôòn±ØÎªÒ»Íêȫƽ·½Êý¡£
¡¡¡¡2)³ýÁËnµÄƽ·½¸ùΪÆäÖÐÒ»¸öÒò×ÓÍ⣬СÓÚnµÄƽ·½¸ùµÄÒò×ÓÓë´óÓÚnµÄƽ·½¸ùµÄÒò×ÓÊýÏàͬ¡£
¡¡¡¡3)µ±Ä³Ò»ÕýÕûÊýnÓÐżÊýÒò×Óʱ£¬Ôòn±Ø²»ÊÇÍêȫƽ·½Êý£¬ÇÒ´óÓÚnµÄƽ·½¸ùµÄÒò×ÓÓëСÓÚÆäµÄÒò×ÓÊýÏàͬ¡£
¡¡¡¡*Òò×ÓÊýµÄÇó½â¹«Ê½£º½«ÕûÊýn·Ö½âΪÖÊÒò×ÓÏà³ËµÄÐÎʽ£¬È»ºó½«Ã¿¸öÖÊÒò×ÓµÄÃÝ·Ö±ð¼Ó1Ö®ºóÁ¬³ËËùµÃµÄ½á¹û¾ÍÊÇnµÄÒò×ӵĸöÊý¡£
¡¡¡¡Àý£º80µÄÒò×Ó¸öÊý¿ÉÒÔÈçÏ·½Ê½ÇóµÃ£º80 = 2 4•5£¬ÔòÒò×Ó¸öÊýΪ(4+1)(1+1)= 10
