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2007-01-02 11:42:21 · 9 answers · asked by haylea2006 2 in Science & Mathematics Mathematics

9 answers

Prime factors, positive factors or all factors?

Factorizing you get:
420 / 2 = 210
210 / 2 = 105
105 / 3 = 35
35 / 5 = 7
7 / 7 = 1

So the *prime* factors are 2 x 2 x 3 x 5 x 7 = 420

However all factors would be the combinations of all of these:
1 x 420
2 x 210
3 x 140
4 x 105
5 x 84
6 x 70
7 x 60
10 x 42
12 x 35
14 x 30
15 x 28
20 x 21

So the positive factors of 420 are:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 42, 60, 70, 84, 105, 140, 210, 420

(If negative factors are required, just add the negative versions of all of these to the list.)

2007-01-02 11:49:29 · answer #1 · answered by Puzzling 7 · 4 0

420 = 2 x 2 x 5 x 7 x 3

2007-01-02 11:44:47 · answer #2 · answered by Anonymous · 0 0

Prime Factors Of 420

2017-01-09 10:38:45 · answer #3 · answered by ? 4 · 0 0

420
= 2 x 210
= 2 x 2 x 105
= 2 x 2 x 3 x 35
= 2 x 2 x 3 x 5 x 7

2007-01-02 11:46:54 · answer #4 · answered by Sheen 4 · 0 0

10 x 42
5 x 2 x 6 x 7
5 x 2 x 2 x 3 x 7

2² x 3 x 5 x 7

And here, I'm assuming by 420, you mean the number 420...not the other kind of 420. ;)

Yeah, OK, raj and puzzling are right. Technically the factors of 420 are every possible combination of 2 x 2 x 3 x 5 x 7.

2007-01-02 11:45:27 · answer #5 · answered by Jim Burnell 6 · 0 0

Do you mean the prime factors, or ALL the factors?
The prime factors are 2, 3, 5, and 7 since 420 = 2*2*3*5*7

ALL the factors are multiples of any of these, and 1.
1
2
3
4 = 2*2
5
6 = 2*3
7
10 = 2*5
12 = 2*2*3
14 = 2*7
15 = 3*5
20 = 2*2*5
21 = 7*3
28 = 7*4
30 = 2*3*5
35 = 5*7
42 = 2*3*7
60 = 2*2*3*5
70 = 2*5*7
84 = 2*2*3*7
105 = 3*5*7
140 = 2*2*5*7
and 210

2007-01-02 11:54:49 · answer #6 · answered by firefly 6 · 0 0

420=2^2*3*5*7

2007-01-02 11:44:45 · answer #7 · answered by yupchagee 7 · 0 0

420/2
210/2
105/5
21/7
3

2, 2, 3, 5, & 7

2007-01-02 11:48:51 · answer #8 · answered by Anonymous · 0 0

1,2,3,4,5,6,7,10,12,14,15,20,
21,28,30,60,140,42,84,105,
70,210,
420,

2007-01-02 11:50:19 · answer #9 · answered by raj 7 · 0 0

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