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Q: What is the smallest number that can be divided into 45 to come up with the prime factorization?

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2

2x3x5x7x11x13=30,030

All even numbers contain the number 2 in their prime factorization, as 2 is the smallest prime number and the only even prime number.

210

8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.

No prime number can be divided by 4 exactly.

It is 2310.

30

30,030 Factorization: 2x3x5x7x11x13

if the number can't be divided by a number other than it self then it's prime

The smallest and only even prime number is 2, as it can only be divided by 1 and itself.

Smallest prime factor = smallest prime number which can be divided into the given number with no remainder 82/2=41, both 2 and 41 are prime and 2 is the smallest.

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