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True or False A prime number cannot be factored into smaller whole numbers other than itself and 1 if so then why?
Wiki User
∙ 14y ago
The answer to the first question is true. The answer to the second question is because if the number could be divided by anything but itself and one, then it would not be prime, it would be composite. That is simply the definition of a Prime number.
Wiki User
∙ 14y ago
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What is a prime binomial?
A prime binomial is only divisible by itself and one. It cannot be factored. It is irreducible.
Why are the multiples of any number other than one not prime numbers?
The multiples of any number cannot be prime numbers because such numbers are the product of at least two numbers. Prime numbers, but definition, cannot be cannot be the product of any numbers except itself and one.
Explain Why the LCM is at least as large as the GCF.?
No number can have a multiple smaller than itself. No number can have a factor larger than itself. In a set of two numbers, the LCM can't be smaller than the larger number and the GCF can't be larger than the smaller number. In rare cases, the LCM can equal the GCF, but it can never be smaller.
Composite numbers vs prime numbers?
A composite number is a natural number that can be divided into smaller factors (which are also natural numbers). For example, 6 = 2 x 3. A prime number is an integer (greater than 1) that cannot be separated into smaller factors. For example, 7 can't be divided into smaller factors.
Why do you need to know about prime and composite numbers?
If you know a number is composite, then you also know that it can be factored into more factors than just 1 and itself. A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
When you would use the word prime as the answer to a factoring question?
When a number can only be factored by 1 and itself or cannot be factored at all it is considered prime.
What is a prime binomial?
A prime binomial is only divisible by itself and one. It cannot be factored. It is irreducible.
What are the prime numbers for -30?
Unfortunately, in accordance with math laws, non real, negative integers cannot be factored."Prime numbers are defined as all real, non negative integers who's only factors are that of "1" and itself. Composite numbers are defined as all real, non negative integers who's factors are all real, non negative integers other than "1" and itself.
How is the LCM of two numbers larger than them?
Each of the numbers goes into the LCM so the LCM must be at least as big as the number. So if there are two numbers and their LCM is at least as big as either of them, it cannot be less than either.
What is the factorization of 914?
Factorization of 9141 X 9142 X 457457 is a prime number (only divisible by 1 and itself), so it cannot be factored farther.
How do you know what a prime number is?
A prime number is a positive whole number (a positive integer) that has exactly two unique positive divisors, 1 and the number itself.
Why are the multiples of any number other than one not prime numbers?
The multiples of any number cannot be prime numbers because such numbers are the product of at least two numbers. Prime numbers, but definition, cannot be cannot be the product of any numbers except itself and one.
How many numbers between 1 to 24 are factorable?
Unitary number (only factor is 1): 1 Prime numbers (only factors are 1 and itself): 2, 3, 5, 7, 11, 13, 17, 19, 23 Composite numbers: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24 There are 14 composite numbers that can be factored into smaller numbers other than 1.
List all the factors of 14 from least to greatest?
Short answer: {1,2,7,14}Obviously 1*14 = 14, so 1 and 14 are two factors. 1 and the number itself is always two factors, no matter what number you have. You also know that 2*7 = 14. So now you have at least 2 and 7 as factors, right? 2 and 7 are both prime numbers, so now you know you won't find any other factors. This is because a prime number cannot be factored into smaller numbers.
How do you if a number is prime?
you cannot multiply by others numbers only by 1 and the number itself
What is the name of the smaller inland continents in Antarctica?
Antarctica is a continent itself and does not and cannot contain other continents.
Explain Why the LCM is at least as large as the GCF.?
No number can have a multiple smaller than itself. No number can have a factor larger than itself. In a set of two numbers, the LCM can't be smaller than the larger number and the GCF can't be larger than the smaller number. In rare cases, the LCM can equal the GCF, but it can never be smaller.
