I might be reading this incorrectly, but it seems to me that I can take two prime numbers, 3 and 3, and make the square number nine out of them. This is also true of all the other prime numbers.
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You can think of a factor as a number that divides another number with no remainder. For example, 3 is a factor of 6 since 3 goes into 6 two times with no remainder. Now if the factor is prime, then it is a prime factor. So in the example above, 3 is a prime factor. This is because the factor itself has only two factors, 1 and itself. 6 goes into itself also, but since 6 is not prime, it is not a prime factor. Now that you understand it, here is a more precise definition. A prime factor is a factor that is a prime number. In other words, one of the prime numbers that, when multiplied, give the original number.
No, all primes greater than 2 are odd numbers.
You don't. 41 is a prime number. Prime numbers don't have factor trees, since they only have one prime factor.
The prime factors of a number by multiplying each other. You can also use exponents. a prime factorization is when you divide a number and see what all of the prime (odd) numbers make up that number. EX. 9 / \ 3 3 then you would circle the 3's because they are prime.
Prime Factorization of 90To find the prime factorization of 90, start with the lowest prime number that will divide into 90. That number is 2. 2 times 45 equals 90. 2 is a number in the prime factorization of 90. Next, find the lowest prime number that will divide into 45. The number is 3, and 3 times15 equals 45. 3 is one of the prime factors, so now you have 2 times 3 times 15. 15 is not a prime number, and the lowest prime number that will divide into 15. 3 times 5 is 15. You'll notice that both 3 and 5 are prime numbers, so the prime factorization of 90 is 2 X 3 X 3 X 5. Check your answer to make sure it is correct and you're done.