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The product of all digits of positive integer M is 105. How many such Ms are there with four digits?

 May 28, 2021

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The prime factorization of 105 is: 3 * 5 * 7. Therefore, the 4 digit number must have the digits: 1,3,5, and 7. There are 4! ways to rearrange these numbers, so the answer is 4! = 24.

 May 28, 2021
 #1
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+1
Best Answer

The prime factorization of 105 is: 3 * 5 * 7. Therefore, the 4 digit number must have the digits: 1,3,5, and 7. There are 4! ways to rearrange these numbers, so the answer is 4! = 24.

Guest May 28, 2021

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