perplexus.info :: Just Math : Consecutive Deletion

Consecutive Deletion (Posted on 2015-04-22)

N is a five-digit base ten positive integer formed entirely by nonzero digits.

Find the total number of values of N such that such that deleting consecutively the digit of the left, in each step, we obtain a divisor of the previous number.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

There are only three 5-digit base ten positive integers that satisfy the given conditions. These are:
• 53125
• 91125
• 95625
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): computer solution	K Sengupta	2024-05-12 09:36:25
re(2): computer solution	myagkayaanna	2024-05-12 09:16:04
good	alijen	2023-09-28 05:15:25
re(2): computer solution	GraceBrown	2023-04-26 05:10:28
No Subject	K Sengupta	2023-01-07 21:48:18
re(2): computer solution	Jacob Blair	2021-12-22 12:15:21
re: computer solution	MollyFox	2021-12-09 06:51:17
computer solution	Charlie	2015-04-22 14:20:58

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