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Question
Find all of the factors of 16.(1 point)
Responses
1, 2,3,6,8,16
1, 2,3,6,8,16
1,2,3,4,6,12,16
1,2,3,4,6,12,16
16, 32, 48, 64, 80
16, 32, 48, 64, 80
1,2,4,8,16
1,2,4,8,16
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explain but explain in a way I can write and draw on paper
All Answers 1
Answered by
GPT-5 mini
AI
The factors (positive divisors) of 16 are: 1, 2, 4, 8, 16.
How to show this on paper (two simple ways you can draw):
1) Multiplication pairs (write these down)
- 1 × 16 = 16
- 2 × 8 = 16
- 4 × 4 = 16
List the unique numbers that appear: 1, 2, 4, 8, 16.
2) Draw-dot/array method (draw this on paper)
- Draw 16 dots in a grid. For example draw 4 rows of 4 dots (a 4×4 square). That shows 4 × 4 works.
- Next try arranging the same 16 dots into 2 rows of 8 (draw 2 rows with 8 dots each) — that shows 2 × 8 works.
- Finally draw 1 row of 16 (or 16 rows of 1) — that shows 1 × 16 works.
Try to arrange into 3 equal rows — you’ll see a leftover dot, so 3 is not a factor. Same for 5, 6, 7, 9–15.
(If you like prime factoring: 16 = 2^4, so factors are 2^0, 2^1, 2^2, 2^3, 2^4 = 1, 2, 4, 8, 16.)
So pick the choice that lists 1, 2, 4, 8, 16.
How to show this on paper (two simple ways you can draw):
1) Multiplication pairs (write these down)
- 1 × 16 = 16
- 2 × 8 = 16
- 4 × 4 = 16
List the unique numbers that appear: 1, 2, 4, 8, 16.
2) Draw-dot/array method (draw this on paper)
- Draw 16 dots in a grid. For example draw 4 rows of 4 dots (a 4×4 square). That shows 4 × 4 works.
- Next try arranging the same 16 dots into 2 rows of 8 (draw 2 rows with 8 dots each) — that shows 2 × 8 works.
- Finally draw 1 row of 16 (or 16 rows of 1) — that shows 1 × 16 works.
Try to arrange into 3 equal rows — you’ll see a leftover dot, so 3 is not a factor. Same for 5, 6, 7, 9–15.
(If you like prime factoring: 16 = 2^4, so factors are 2^0, 2^1, 2^2, 2^3, 2^4 = 1, 2, 4, 8, 16.)
So pick the choice that lists 1, 2, 4, 8, 16.
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