1-100 (Product of Digits)

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Can you name the numbers from 1-100 in order of the product of their digits?

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When two numbers have the same product of digits, the numbers are in order of least numerical value. For example, 162 would come after 134 despite the product of both numbers' digits being 12 because 134 is closer to one than 162 is.
ProductNumberMultiplication of Digits
0
0
0
0
0
0
0
0
0
0
1
1
2
2
2
3
3
3
4
4
4
4
5
5
5
ProductNumberMultiplication of Digits
6
6
6
6
6
7
7
7
8
8
8
8
8
9
9
9
9
10
10
12
12
12
12
14
14
ProductNumberMultiplication of Digits
15
15
16
16
16
18
18
18
18
20
20
21
21
24
24
24
24
25
27
27
28
28
30
30
32
ProductNumberMultiplication of Digits
32
35
35
36
36
36
40
40
42
42
45
45
48
48
49
54
54
56
56
63
63
64
72
72
81

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Created Jun 24, 2013Editor's PickReportNominate
Tags:math, Numbers, 1-100, 100, digit, multiplication, order