What are the factors of 1260?
回答 (7)
2008-12-02 9:07 am
✔ 最佳答案
There are 36 factors of 1260:1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18,
20, 21, 28, 30, 35, 36, 42, 45, 60, 70, 84, 90,
105, 126, 140, 180, 210, 252, 315, 630, 1260.
To find the factors of a positive integer, factor it first into product of primes. In this case, 1260 = 2^2 * 3^2 * 5 * 7. Each of its factors is a product of some power of 2 (exponents 0,1,or 2), some powers of 3 (exponents 0, 1, or 2), 5 or no 5, 7 or no 7. So there are totally 3*3*2*2=36 of them.
2008-12-02 8:51 am
2 * 2 * 3 * 3 * 5 * 7 = 1260
2008-12-02 10:57 am
1260 = 1 x 1260
1260 = 2 x 630
1260 = 3 x 420
1260 = 4 x 315
1260 = 5 x 252
1260 = 6 x 210
1260 = 7 x 180
1260 = 9 x 140
1260 = 10 x 126
1260 = 12 x 105
1260 = 14 x 90
1260 = 15 x 84
1260 = 18 x 70
1260 = 20 x 63
1260 = 21 x 60
1260 = 28 x 45
1260 = 30 x 42
1260 = 35 x 36
∴ factors of 1260: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 28 , 45 , 30 , 35 , 36 , 42 , 45 , 60 , 63 , 70 , 84 , 90 , 105 , 126 , 140 , 180 , 210 , 252 , 315 , 420 , 630 , 1260
1260 = 2 x 630
1260 = 3 x 420
1260 = 4 x 315
1260 = 5 x 252
1260 = 6 x 210
1260 = 7 x 180
1260 = 9 x 140
1260 = 10 x 126
1260 = 12 x 105
1260 = 14 x 90
1260 = 15 x 84
1260 = 18 x 70
1260 = 20 x 63
1260 = 21 x 60
1260 = 28 x 45
1260 = 30 x 42
1260 = 35 x 36
∴ factors of 1260: 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 , 10 , 12 , 14 , 15 , 18 , 20 , 21 , 28 , 45 , 30 , 35 , 36 , 42 , 45 , 60 , 63 , 70 , 84 , 90 , 105 , 126 , 140 , 180 , 210 , 252 , 315 , 420 , 630 , 1260
2008-12-02 8:51 am
1260
= 2 * 630
= 2 * 2 * 315
= 2 * 2 * 3 * 105
= 2 * 2 * 3 * 3 * 35
= 2 * 2 * 3 * 3 * 5 * 7
= 2 * 630
= 2 * 2 * 315
= 2 * 2 * 3 * 105
= 2 * 2 * 3 * 3 * 35
= 2 * 2 * 3 * 3 * 5 * 7
2008-12-02 9:18 am
{ 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 }
prime factorization:
2^2*3^2*5*7
EDIT: This site factors numbers: http://www.alpertron.com.ar/ECM.HTM
prime factorization:
2^2*3^2*5*7
EDIT: This site factors numbers: http://www.alpertron.com.ar/ECM.HTM
參考: HP50g calculator (plugged into computer)
2008-12-02 9:00 am
1260=2^2 x 3^2 x 5 x 7
2008-12-02 8:50 am
Do you need all factors or the prime factorization?
收錄日期: 2021-05-01 11:37:05
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081202004339AAozlsq