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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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What whole number less than 500 has most factors?
360, 420 and 480 each have 24 factors.
What number less than 13 has the most factors?
1 is the number less than fifty with the fewest number of factors. All other numbers have at least two factors (1, and the integer itself).
What numbers have the most factors up to 200?
180: it has 18 factors.
How does 48 have the most factors?
It doesn't. 48 has the most factors of positive numbers under 50.
What are the most common factors?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. When put in a list, the largest of these is known as the greatest common factor, or GCF. Some people refer to this as the highest common factor, or HCF. Calling it the most common factor would be confusing, since people tend to think of "most common" as something that happens frequently.
