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Let call this number p and its factors q1,q2,q3,q4,q5 (qi are not necessary different)

We know that there can't be more than 5 factors as 2^5=32 and 2^6=64 and 2 is the lowest possible factor.

Lets try with q1=q2=...=q5=2 then p=2^5=32

If q1=q2=...=q4=2 and q5 = 3 then p=2^4 x 3 = 48

If q1=q2=...=q3=2 and q4=q5 = 3 then p=2^3 x 3^2 = 72 > 50

similarly p=2^2 x 3^3=108 > 50, p=2 x 3^4=162 > 50

If q1=q2=...=q3=2 and q4= 3 and q5=5 then p=2^3 x 3 x 5 > 2^3 x 3^2 > 50

The tries can continue with 2,3,5,7,11 but the number will be greater than 50 each time

So the numbers with most factor between 1 and 50 are 32 and 48

The number between 1 and X that has the most factors has log2(X) factors

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12y ago

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the highest number is 50 becous i dont know i hope that helps you a little becous at least you know some of the answer.

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12y ago
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48

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12y ago
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Q: What whole numbers less than 50 has the most factors?
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