If you know the prime factorization of a number, you can find out the total number of factors.
Example: 210
21 x 31 x 51 x 71 = 210
Add one to the exponents and multiply them.
2 x 2 x 2 x 2 = 16, the total number of factors.
You know that 1, 2, 3, 5, and 7 are factors. You need three more to get halfway.
2 x 3 = 6
2 x 5 = 10
2 x 7 = 14
Divide all those numbers into 210.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
There is NO number with the most number of factors.
to get the factors of a number you figure out what numbers multiplied together would equal the number youre trying to get factors for
Each number has a certain amount of factors. Other numbers may have the same amount of factors, but not the same exact factors. Since numbers don't stop, thee amount of factors doesn't stop either, but each number has a distinct set.
A square number.
A square number
But you do know the factors of prime numbers. Every prime number has two factors: one and the number itself.
every number has a limited amount of factors those you could chose any number and find another with that number of factors
48 has 10 factors.
Work out if they have any factors, other than the number 1 and themselves. If they do not they are prime.
A number can be factored to determine whether it is prime or composite. A prime number has exactly 2 factors, 1 and the number itself. A composite number has more than two factors.
A perfect square
1