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Sarah writes down all 3-digit positive integers for which the product of their digits equals 36. What is the difference between the greatest and the smallest of these 3-digit numbers?
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Answers
Answer:
answer is 36 pizzazz zzz zzz mark as brainless
Explanation:
1x36
Difference between the greatest and the smallest of these 3-digit numbers is 792 for which the product of their digits equals 36.
Given:
All 3-digit positive integers for which the product of their digits equals 36.
To Find:
The difference between the greatest and the smallest of these 3-digit numbers
Solution:
Factors of 36 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
Hence Digits can be 1 , 2 , 3 , 4 , 6 , 9
3 Digit positive integers for which the product of their digits equals 36.
Starting with 1
149 , 166 , 194
Starting with 2
229 , 236 , 263 , 294
Starting with 3
326 , 334 , 343 , 362
Starting with 4
419 , 433 , 491
Starting with 6
616 , 623 , 632 , 661
Starting with 9
914 , 922 , 941
Hence 149 is smallest and 941 is largest
Difference = 941 - 149
= 792
Difference between the greatest and the smallest of these 3-digit numbers is 792