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Prime factorization is finding the prime factors you need to multiply together to get the original number. A prime factor is a factor that is a Prime number.
Example:
The prime factorization of 30 is 2 x 3 x 5
Prime factorization is breaking a number into smaller prime divisors which multiply to equal the original number.
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.
A prime number is a number which cannot be divided by any number, other than itself and 1,
without leaving a remainder.
The first few prime numbers are 2, 3, 5, 7 11, 13, 17, 19, 23, 29, 31 and so on...
A factor is a number which, when multiplied by another number, will give a third number.... such as 10 and 4 are factors of 40; or 25 and 6 are factors of 150.
However none of those factors are 'prime factors' - those are prime numbers which are factors of other numbers.
The prime factors of 40 are 2, 2, 2 and 5. The three 2s are listed separately because you need to multiply 2 by 2 to get 4, and by 2 again to get 8. Then multiplying that by 5 gives 40.
Similarly, the prime factors of 150 are 2, 3, 5 and 5... as 2 by 3 gives 6. 6 by 5 gives 30 and 30 by 5 gives us 150.
In short, prime factors of a number are the smallest numbers which when multiplied together give us that number, and which themselves are not capable of being evenly divided.
it is a number than can only be divisble by 1. these numbers are numbers like 1,2,3,5,7,11,13,17,19... etc...
Any number can be broken down, or factored, into smaller and smaller factors which multiply to give the original number, when you have reached the smallest possible factors, then those factors will be prime, all those factors together constitute the prime factorization of that number.
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Prime Factorization of 800?
The prime factorization is... 2x2x2x2x2x5x5
Can a number greater than 100 have only 1 number in it's prime factorization?
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.
How do you write out the prime factorization of a prime number?
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
What is the prime factorization of 9 and 15?
Prime Factorization of 9 and 15The prime factorization of 9 is:3 X 3The prime factorization of 15 is:3 X 5
Is 2x3x5 a prime factorization?
Yes, 2x3x5 is a prime factorization because it has prime numbers multiplied to give a number. It is the prime factorization of 30.
Is 3x5x4 a prime factorization of 60?
No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.
What makes a factorization of a number a prime factorization?
When all the factors are prime numbers, that's a prime factorization.
What is prime factorization of 22?
Prime Factorization of 22The prime factorization of 22 is:2 X 11Both numbers are prime, so 2 X 11 is the prime factorization of 22.
What is prime fatorization?
prime factorization is the factorization of numbers
Prime Factorization of 800?
The prime factorization is... 2x2x2x2x2x5x5
Prime factorization chart?
how do i get the prime factorization of 45
What is a term for finding prime factorization?
Prime factorization!
What is diff prime factorization and regular factorization?
When asked for a factorization, it is generally understood to mean the prime factorization.
Can a number greater than 100 have only 1 number in it's prime factorization?
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.
How do you write out the prime factorization of a prime number?
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
What is the prime factorization of 9 and 15?
Prime Factorization of 9 and 15The prime factorization of 9 is:3 X 3The prime factorization of 15 is:3 X 5
Prime factorization of 13?
13 is a prime, so its prime factorization is: 13
