Prime factorization is achieved when all the factors are prime numbers. For example, the prime factorization of 6 is 2 X 3.
Other examples are:
2 X 2 X 3 = 12
2 X 3 X 7 = 42
11 X 11 = 121
2 X 2 X 3 X 7 X 11 = 924
An example that is not prime factorization is:
2 X 3 X 10 = 60
The reason is that 10 is not a Prime number.
In order for it to be an example of prime factorization, it would have to be:
2 X 2 X 3 X 5 = 60
Now, all the factors are prime numbers.
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The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
The prime factorization is... 2x2x2x2x2x5x5
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
Prime Factorization of 9 and 15The prime factorization of 9 is:3 X 3The prime factorization of 15 is:3 X 5
Yes, 2x3x5 is a prime factorization because it has prime numbers multiplied to give a number. It is the prime factorization of 30.