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# What is a prim factorization?

Updated: 9/29/2022 Wiki User

8y ago

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. Wiki User

8y ago   Wiki User

11y ago

A prime factor is a factor that is a Prime number.

3 is a prime factor of 12.

4 is a composite factor of 12.   Earn +20 pts
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### What is the prim factorization of 115?

115 = 5 &times; 23

### What is the prim factorization of 144?

144 = 24 &times; 32

### What is the prim factorization of 140?

140 = 22 &times; 5 &times; 7

18 = 2 x 3 x 3

### What is the prim factorization of 1375?

5 x 5 x 5 x 11

Related questions

### What is the prim factorization of 19?

19 is already prime; no factorization.

2x2

No.

### What is the prim factorization of 43?

43 is already prime; no factorization required.

### Prim factorization of 310?

Prime Factorization: 2*5*31

### Is 235 a prime factorization?

No it isn't. 235/5 = 47 and 47 is a prim number. 235 isn't a prime number so it isn't a prim factorization. The real factorization is 47 * 5.

It is: 2*29 = 58

### What is the prim factorization of 67?

67 is a prime number

2 x 3

### What is the prim factorization for 216?

216 = 23 &times; 33

### What is the prim factorization of 42?

It is: 2, 3 and 7

### What is the prim factorization of 15125?

15,125 = 53 &times; 112