0
True or False A prime number cannot be factored into smaller whole numbers other than itself and 1 if so then why?
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.
What else can I help you with?
What is a prime binomial?
A prime binomial is only divisible by itself and one. It cannot be factored. It is irreducible.
Is 1001 a prime number?
No, 1001 is not a prime number. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In the case of 1001, it can be factored into 7 x 11 x 13, which means it has factors other than 1 and itself, making it a composite number.
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.
What is factor of 1757051?
To find the factors of 1757051, we need to determine all the numbers that can divide evenly into 1757051 without leaving a remainder. The factors of 1757051 are 1, 59, 29711, and 1757051 itself. This is because 1 and the number itself are always factors, and the other factors are obtained by dividing 1757051 by different numbers starting from 2 up to the square root of 1757051.
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.
What 3 numbers multiply together and equal the number 293?
The number 293 is a prime number, meaning it cannot be factored into smaller integers other than 1 and itself. Therefore, there are no three whole numbers that can multiply together to equal 293. The only possible multiplication involving 293 is 1 × 1 × 293.
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 is a prime polynomial?
A prime polynomial is a polynomial that cannot be factored into the product of two non-constant polynomials over its coefficient field. In other words, it has no divisors other than itself and the unit (constant) polynomials. For example, in the field of real numbers, (x^2 + 1) is a prime polynomial because it cannot be factored into real linear factors. Conversely, polynomials like (x^2 - 1) are not prime because they can be factored as ((x - 1)(x + 1)).
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.
Is 1001 a prime number?
No, 1001 is not a prime number. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In the case of 1001, it can be factored into 7 x 11 x 13, which means it has factors other than 1 and itself, making it a composite number.
What is a number that only has two factors itself and 1 it is called what?
A number that only has two factors, itself and 1, is called a prime number. Prime numbers are greater than 1 and cannot be formed by multiplying two smaller natural numbers. Examples of prime numbers include 2, 3, 5, and 7.
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.
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 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.
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.
