Q:

# Which number has the most factors?

A:

The number with the most factors is infinite. The number with the most known factors contains all of the prime numbers, of which Euclid's theorem also suggests there is an infinite number.

## Keep Learning

For the number that has the most factors within a certain number set, keep multiplying increasing prime numbers until the product exceeds the upper limit of the set. Get the product of the prime numbers just prior to the point that the product exceeded the upper limit. This number has the most prime factors in a set. Then keep multiplying this number by 2, the lowest prime number, to increase the number of factors until it reaches as close to the upper limit without going over.

Sources:

## Related Questions

• A: The prime factors of the number 24 are 2 x 2 x 2 x 3 , or 2 to the 3rd power x 3. Two and three are prime numbers, and when three twos and a three are mult... Full Answer >
Filed Under:
• A: In mathematics, a prime number is any whole number greater than one that has no positive factors other than one and itself. For example, the number 17 is p... Full Answer >
Filed Under:
• A: The factors of 4 are 4, 1 and 2. The product of two or more factors of a number is equal to that number. Four, 1 and 2 are factors because 1 x 4 = 4, 4 x 1... Full Answer >
Filed Under:
• A: Prime numbers that, when multiplied, equal another number are said to be the “prime factors” of that number. For example, 2 and 7 are the prime factors of ... Full Answer >
Filed Under:
PEOPLE SEARCH FOR