can anyone think up of factors for this number, 108 ?
2007-10-25 04:38:57 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Figure the prime factors first:
108 / 2 = 54
54 / 2 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
So the prime factors are 2 x 2 x 3 x 3 x 3
To figure all factors, you just multiply combinations of these prime factors:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
(And technically you have all the negative factors too: -1, -2, -3, -4, ... , -54, -108)
As a double-check, try and pair your factors to see if you missed any:
1 x 108 = 108
2 x 54 = 108
3 x 36 = 108
4 x 27 = 108
6 x 18 = 108
9 x 12 = 108
2007-10-25 04:43:57 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
1
2016-05-25 20:07:57 · answer #2 · answered by ? 3 · 0⤊ 0⤋
Divide by prime numbers, starting with the lowest prime
108
/ \
2 54
. . / \
. . 2 27
. . . / \
. . . 3 9
. . . . / \
. . . . 3 3
Prime factors are 2, 2, 3, 3, 3
Any combination of 2 or more of these prime factors is also a factor of 108
2007-10-25 04:44:36 · answer #3 · answered by Anonymous · 0⤊ 0⤋
108 2
54 2
27 3
9 3
3 3
1
108=2^2 * 3^3
or
=4*27
2007-10-25 04:44:13 · answer #4 · answered by iyiogrenci 6 · 0⤊ 0⤋
Well, you can see that it is even, so
108/2 = 54
54/2 = 27
27/3 = 9
9/3 = 3, a prime number.
So the factors are 2²* 3³.
2007-10-25 05:08:17 · answer #5 · answered by steiner1745 7 · 0⤊ 0⤋
108 | 2
054 | 2
027 | 3
009 | 3
003 | 3
003 | 1
So, 108 = 2^2 * 3^3
2007-10-25 04:44:03 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Well...here is cross question. there are many kinds of factors, what kind are you looking for?
2007-10-25 04:45:10 · answer #7 · answered by Johny E 1 · 0⤊ 1⤋
1,2,3,4,6,9,12,18,27,36,54,and 108!taddaaaa!
2007-10-25 04:44:06 · answer #8 · answered by lotu20000 2 · 0⤊ 1⤋
Sure...
1,2,3,4,6,9,12,18,27,36,54,108
I think that's all of them.
Is that what you are looking for?
2007-10-25 04:44:59 · answer #9 · answered by eagr2b 2 · 0⤊ 1⤋