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Prime Factorization
"Prime Factorization" is finding which prime numbers you need to multiply together to get the original number.
Example 1
What are the prime factors of 12?
It is best to start working from the smallest Prime number, which is 2, so let's check:
12 ÷ 2 = 6
But 6 is not a prime number, so we need to factor it further:
6 ÷ 2 = 3
And 3 is a prime number, so:
12 = 2 × 2 × 3
As you can see, every factor is a prime number, so the answer must be right - the prime factorization of 12 is 2 × 2 × 3, which can also be written as 22 × 3
Example 2
What is the prime factorization of 147?
Can we divide 147 evenly by 2? No, so we should try the next prime number, 3:
147 ÷ 3 = 49
Then we try factoring 49, and find that 7 is the smallest prime number that works:
49 ÷ 7 = 7
And that is as far as we need to go, because all the factors are prime numbers.
147 = 3 × 7 × 7 = 3 × 72
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How can you do prime factorization with prime numbers?
There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.
Find the prime factorization of the numbers 33?
The prime factorization of the number 33 is: 3 x 11
Do all prime numbers have prime factorization?
There is no need to do prime factorization as prime numbers are already prime.
What is prime fatorization?
prime factorization is the factorization of numbers
Does the prime factorization of any composite number include prime and composite numbers?
Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
Is there a prime factorization for prime numbers?
No.
How do you find the LCM of 16 63 and 75 using prime factorization?
The LCM of the given three numbers using prime factorization is 25200
What numbers prime factorization is 2x2x2x3x3x5x5?
The prime factorization of 1800 is 2x2x2x3x3x5x5
Find the greatest common factor of the numbers using prime factorization?
i dont know what that means does anyone get this"find the greatest common factor of the numbers using prime factorization We'll be eager to jump on it as soon as you give us the numbers.
Why you cannot find the prime factorization of 4.8?
Prime factors are only found in whole numbers or integers
What is the prime factorization of 2x2x5x7x11?
Actually 2x2x5x7x11 is a prime factorization and on multiplying these numbers we get 1540. Prime factorization of a number is the prime numbers which on multiplying together give that number.
