As 2 is the smallest Prime number
the number less than 50 that has the most factors can't have more than 5 factors cause 2^5=32 and 2^6=64.
So we're searching for a number with at most 5 factors
As sqrt(50) = 7.07..., the biggest factor can't be more than 7
The problem is then find pi (prime numbers) such that p1p2p3p4p5<50 and pi are not necessary different and pi <=7
We already know that 25 will do
24x3 will also do
24x5 won't
24x7 won't
23x32 > 50
22x33 > 50
2x34 > 50
35 > 50
34 > 50
following the same calculations with powers of 5 or 7 shows that there are no more solution
The solutions are 25 and 24x3
There is NO number with the most number of factors.
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It is impossible to determine what number has the most factors because there are an infinite number of numbers.
There is no such number with "most factors"; if you have a number with a certain number of factors, you can always multiply it by 2, or by 3, etc., to get another number that has even more factors.
48 has 10 factors, the most factors of any number under 50.
Your question isn't clear. If you want to know which number less than 25 has the most factors, the answer is 24.
48 has the most factors..
Any number that can't be divided into 24 evenly is not a factor of 24
the number 90 has the most factors under 100
There isn't any, and it is quite simple to prove that. Suppose there is a number with the most factors and suppose that number is X. Now consider Y = 2*X. Y has all the factors of X and it has another factor, which is 2. So Y has more factors than X. This contradicts the statement that X has the most factors. Therefore, there is no number with the most factors.
Composite number
The maximum number of zeros in a number is determined by the number of factors of 10 in that number. Each factor of 10 is made up of 2 factors of 5 and 2 factors of 2. Therefore, the maximum number of zeros in a number is equal to the minimum of the number of factors of 5 and the number of factors of 2. For example, in the number 1000, there are three factors of 10, so the maximum number of zeros is 3.