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,单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,*,质数与合数,你能提出什么问题?,排成各个方阵的人数分别是,24,、,25,、,40,、,35,、,32,,这些数有什么特点?,34=12,3,和,4,都是,12,的(),24,的因数:,25,的因数:,(,1 2 3 4 6 8 12 24,),(,1 5 25,),40,的因数:,35,的因数:,(,1 2 4 5 8 10 20 40,),(,1 5 7 35,),32,的因数:,(,1 2 4 8,16 32,),找出,1,20,各数的因数,看看它们的因数的个数有什么规律。,1,只有因数,1,。,有的数只有两个因数,如,5,的因数是,1,和,5,。,找出,1,20,各数的因数,看看它们的因数的个数有什么规律。,有的数因数不只是两个,比如,9,的因数是,1,,,3,和,9,。,10,的因数有,我们来给它们分分类吧!,1,的因数,:,1,2,的因数,:,1,2,3,的因数,:,4,的因数,:,6,的因数,:,5,的因数,:,7,的因数,:,8,的因数,:,9,的因数,:,10,的因数,:,11,的因数,:,12,的因数,:,1,3,1,2,4,1,5,1,2 3,6,1,7,1,2 4,8,1,3,9,1,2 5,10,1,11,1,2 3 4 6,12,找出,1,20,各数的因数,看看它们的因数的个数有什么规律。,只有一个因数,只有,1,和它本身两个因数,有两个以上的因数,只有一个因数,只有,1,和它本身两个因数,有两个以上的因数,1,2,,,3,,,5,,,7,,,11,,,13,,,17,,,19,4,,,6,,,8,,,9,,,10,,,12,,,14,,,15,,,16,,,18,,,20,只有,1,和它本身两个因数的数,叫做,质数,(或,素数,)。,如:,2,,,3,,,5,,,7,都是质数。,只有一个因数,只有,1,和它本身两个因数,有两个以上的因数,1,2,,,3,,,5,,,7,,,11,,,13,,,17,,,19,4,,,6,,,8,,,9,,,10,,,12,,,14,,,15,,,16,,,18,,,20,除了,1,和它本身,还有其他因数的数,叫做,合数,。,如:,4,,,6,,,15,,,49,都是合数。,1,只有一个因数,既不是质数,也不是合数。,判断下列各数中哪些是质数,哪些是合数。,17 22 29 35 37 87 93 96,质数,:,17,,,29,,,37,。,合数,:,22,,,35,,,87,,,93,,,96,。,找出,100,以内的质数,做一个质数表。,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,找出,100,以内的质数,做一个质数表。,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,下面的说法正确吗?说说你的理由。,(,1,)所有的奇数都是质数。,(,2,)所有的偶数都是合数。,(,3,)在,1,,,2,,,3,,,4,,,5,,,中,除了质数以 外都是合数。,(,4,)两个质数的和是偶数。,下面各数中哪些是质数?哪些是合数?分别填入指定的圈里。,27 37 41 58 61 73 83 95,11 14 33 47 57 62 87 99,质数,合数,37,,,41,,,61,,,73,,,83,,,11,,,47,。,27,,,58,,,95,,,14,,,33,,,57,,,62,,,87,,,99,。,在自然数,11-20,中,质数有:,(,11 13 17 19,),合数有:,(,12 14 15 16 18 20,既是奇数又是合数的数有:,(,15,),
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