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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,*,帽子小学 丁朝刚,质数和合数,1,复习:,1,、什么是因数?什么是倍数?,2,、怎么找出一个数的所有因数?,3,、写出,120,的所有因数。,如果,ab=c,,则,a,、,b,是,c,的因数,,c,是,a,、,b,的倍数。,(,a,、,b,、,c,是非,0,自然数),2,1,的因数,:,1,。,1,,,2,。,2,的因数,:,1,,,3,。,3,的因数,:,4,的因数,:,5,的因数,:,6,的因数,:,7,的因数,:,8,的因数,:,9,的因数,:,10,的因数,:,1,,,4,,,2,。,1,,,5,。,1,,,6,,,2,,,3,。,1,,,7,。,1,,,8,,,2,,,4,。,1,,,9,,,3,。,1,,,10,,,2,,,5,。,11,的因数,:,1,,,11,。,12,的因数,:,1,,,13,。,13,的因数,:,14,的因数,:,15,的因数,:,16,的因数,:,17,的因数,:,18,的因数,:,19,的因数,:,20,的因数,:,1,,,14,,,2,,,7,。,1,,,16,,,2,,,8,,,4,。,1,,,17,。,1,,,18,,,2,,,9,,,3,,,6,。,1,,,19,。,1,,,20,,,2,,,10,,,4,,,5,。,1,,,12,,,2,,,6,,,3,,,4,。,1,,,15,,,3,,,5,。,3,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,。,一个数,如果只有,1,和,它本身,两个因数,这个数叫做,质数,(或,素数,)。,一个数,如果除了,1,和它本身以外还有,别的,因数,这个数叫做合数。,1,既不是质数,也不是合数。,4,自然数,质数,合数,只有两个因数,(,1,和它本身),。,1,因数超过两个,(除了,1,和它本身以外还有别的因数),。,只有一个因数,(只有,1,),。,你知道为什么不研究,0,的因数吗,?,5,判断下列各数中哪些是质数,哪些是合数,.,17 22 29 35 37 87 93 96,17,的因数,:1 17 (,质数,),22,的因数,:1 2 11 22 (,合数,),29,的因数,:1 29 (,质数,),35,的因数,:1 5 7 35 (,合数,),37,的因数,:1 37 (,质数,),87,的因数,:1 3 29 87 (,合数,),93,的因数,:1 93 3 31 (,合数,),96,的因数,:1 96 2 48 3 32 (,合数,),6,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,例,1,、找出,100,以内的质数,做一个质数表。,7,100,以内的质数表,2,、,3,、,5,、,7,、,11,、,13,、,17,、,19,、,23,、,29,、,31,、,37,、,41,、,43,、,47,、,53,、,59,、,61,、,67,、,71,、,73,、,79,、,83,、,89,、,97,8,练习四,9,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。,10,37,,,41,,,61,,,73,,,83,,,11,,,47,。,27,,,58,,,95,,,14,,,33,,,57,,,62,,,78,,,99,。,11,好好学习,天天向上,12,
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