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We have a value X (doesn't matter what it equals).

pick any integer greater than one (i'll choose 3)

Y = 3*X

now Y has all the factors of X , and then one more.

Example:

X=15 (15 = 3*5, so 2 factors)

Y = 3*X (45 = 3*3*5, 3 factors (2 unique))

If you want a number with the most 'unique' factors, that doesn't work either. Just make sure the number you pick (my 3 in this case) is not factor of X to begin with.

Example: I'll chose 2 this time because 2 is not a factor of 15.

X=15 (15=3*5, 2 factors)

Y=2*X (30= 2*3*5, 3 factors (all unique))

Q: Number with the most factors

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There is NO number with the most number of factors.

48 has the most factors..

48 has ten factors.

36 has nine factors

970200 and 900900 have 216 factors each.

Related questions

There is NO number with the most number of factors.

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.

48 has the most factors..

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.

the number 90 has the most factors under 100

Composite number

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.

Of the numbers up to 50, 48 has the most factors.

There can be no such number. Since if x is such a number then 4x is a square number with more factors. and if 4x is the number then 16x has more, etc.

512 has 9 prime factors