if x is a postive integer and the product of all integers from 1 to x inclusive is a multiple of

Name: if x is a postive integer and the product of all integers from 1 to x inclusive is a multiple of 260 then the least possible value of x is 72583
Uploaded: 2022-06-10T18:54:18-08:00
Duration: 2 min 29 s
Channel: Nathan Smith
Description: if x is a postive integer and the product of all integers from 1 to x inclusive is a multiple of 260 then the least possible value of x is 72583

Question

Nathan Smith · Accepted Answer

Step 1: Find the prime factorization of 260: 260 = 2 * 2 * 5 * 13

Question

If x is a postive integer and the product of all integers from 1 to x, inclusive, is a multiple of 260, then the least possible value of x is?

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