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: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
Factorization into its smallest factors.
The prime factorization is... 2x2x2x2x2x5x5
Prime Factorization of 9 and 15The prime factorization of 9 is:3 X 3The prime factorization of 15 is:3 X 5
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.
find the prime factorization of 268
255 85,3 17,5,3 3 x 5 x 17 = 255
The square root of 729 is 27 and as a product of its prime factors in exponents it is 36
1001 Divide by seven. 143,7 Divide by eleven. 13,11,7 Stop. 7 x 11 x 13 = 1001
When asked for a factorization, it is generally understood to mean the prime factorization.
Since 62 is even, divide by 2. Since the result is prime, stop. 2 x 31 = 62
Factorization of 91The factorization of 91 is:1 X 917 X 13
Prime Factorization of 217The prime factorization of 217 is:7 X 31
Factorization of 150 = 2x3x5x5.
Factorization into its smallest factors.
43 is prime; no factorization.
Factorization Form of 91The factorization form of 91 is 7 X 13.
When all the factors are prime numbers, that's a prime factorization.