###### Asked in Math and ArithmeticFactoring and MultiplesPrime Numbers

Math and Arithmetic

Factoring and Multiples

Prime Numbers

# What is the smallest number with ten prime factors which can be the same?

## Answer

###### Wiki User

###### July 12, 2009 6:49PM

Two is the smallest prime number and if 10 prime numbers are wanted, and they can repeat, the answer is 210 or 1024.

## Related Questions

###### Asked in Factoring and Multiples, Prime Numbers

### What prime number from 0ne to a hundred that has the most factors?

There is no prime number from one to a hundred that has more
factors than any other prime number. By definition, a prime number
has exactly two factors, 1 and itself. The number 1 has only one
factor - itself. All prime numbers have exactly the same number of
factors - two. Composite numbers have more than two factors.

###### Asked in Prime Numbers

### What is a prime number times a prime number?

A prime number times a prime number is a composite number.
Since prime numbers, except for 2, are odd numbers, a prime
number times a prime number is usually an odd number. It will only
be an even number if one of the prime numbers is 2.
A prime number times a prime number will be a number with four
factors unless both prime numbers are the same, in which case it
will be a square number with only three factors.

###### Asked in Math and Arithmetic

### What are the set of numbers that when multiplied will make a certain number?

They are that number's factors.
If its the complete set of the smallest such numbers, they are
the prime factors.
What's the difference? 4 and 15 are factors of 60: 4 x
15 = 60.
But the prime factors of 60 are 2 x 2 x 3 x
5. (Note that these are all prime numbers, which is where
the term comes from.)
By multiplying the prime factors in different combinations --
such as 2 x (2 x 3) x 5 -- we can come up with all the
possible combinations which lead to the original number.
Also note that the only prime factor of a prime number is
itself. Some teachers will tell you that the factors of a prime
number are itself and 1, which is also true: 1 (known as
unity) is special in that every number, when divided by it,
remains the same. But 1 itself is not considered a prime
number.

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