All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 216
216 Divide by two.
108,2 Divide by two.
54,2,2 Divide by two.
27,2,2,2 Divide by three.
9,3,2,2,2 Divide by three.
3,3,3,2,2,2 Stop. All the factors are prime.
2 x 2 x 2 x 3 x 3 x 3 = 216
Exponents are a shorter way of writing repeated factors.
23 x 33 = 216
The prime factorization of 84 in exponential form is: 22 x 3 x 7
The prime factorization of 9 is 32 You need at least two numbers to find a GCF.
33 x 72 = 1323
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
32 x 52 = 225
3,108 = 22 × 3 × 7 × 37
120=8x3x5, but 8 is not a prime. We write 8 as 23 .Now the prime factorization is 23 x3x5. We stop because all the factors are primes raised to an exponent power..
write the prime factorization of the number. simple as that.
You don't. 13 is a prime number.
To find the prime factorization, start with any factor pair of 196 and keep facoring until all factors are prime. 196 2 x 98 2 x 2 x 49 2 x 2 x 7 x 7 To write it in exponential form write the 2 and 7 with exponents: 22 x 72 = 196
3x3x3
17 because it's a prime number