The way I do it: first look at the number to see if there are any factors that can be recognized, such as 2, 3, 5, 9, 10. There are ways to recognize if a number is divisible by these numbers.
If the number is divisible by any of those, then perform that division, and then check again (example there is no easy check for divisible by 27, but if you divide the number by 9, then the quotient will be divisible by 3). Keep track of what you're dividing by. Next you will just have to start testing dividing the number by primes: 7, 11, 13, 17, etc.
Then, if you determined that you divided a number by 10, for example, the prime factors for 10 are 2 and 5. Do the same for 9 is prime factors of 3 and 3.
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The prime factorization is... 2x2x2x2x2x5x5
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
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.