A number is called a visible factor number if it is divisible by each of its non-zero digits. For example, 102 is divisible by 1 and 2, so it is a visible factor number. How many visible factor numbers are there from 100 through 150, inclusive?

Question

Mathematics

Davon Cherry

19 April, 11:49

A number is called a visible factor number if it is divisible by each of its non-zero digits. For example, 102 is divisible by 1 and 2, so it is a visible factor number. How many visible factor numbers are there from 100 through 150, inclusive?

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Answers (1)

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Oneal · Answer 1

The answer is 19.

Step-by-step explanation:

If we check all the numbers from 100 to 150 only 19 of them can be divided by their own non-zero digits. This the case for 100; 101; 102; 104; 105; 110; 111; 112; 115; 120; 122; 124; 126; 128; 132; 135; 140; 144 and 150.

Notice that most of them are even numbers or ended by 5.