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
91 13,7
As a product of its prime factors in exponents it is: 26*34 = 5184
The prime factorization of 400 is 2x2x2x2x5x5 (or 24 x 52 in exponential form).
820 = 22 x 5 x 41
The previous prime number is 23,456,787,559 and the next prime number is 23,456,787,593.
71 is already prime.
3x2x2x2
2x2x3x5
44=22x11
It is: 2*17 = 34
91 13,7
3 x 337 = 1011
As a product of its prime factors in exponents it is: 26*34 = 5184
2*3*13 ur welcome
3 x 3 x 4
It is: 7*7 = 49 or as 72 = 49
The prime factorization of 400 is 2x2x2x2x5x5 (or 24 x 52 in exponential form).