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How would you find the LCM of three prime numbers?
Multiply them together.
Why will a prime number times a prime number always equal a composite number?
the two prime numbers will be factors of that number, which would make that number a composite number
When you write a number as a product of prime numbers?
A number as a product of prime numbers would be "x".
How do you use prime factorization find the GCF of two numbers?
The first step of finding the GCF is to split the numbers into their prime factors. For instance, if I wanted to find the GCF of 30 and 105, I would split these up into: 30 = 2x3x5 105 = 3x5x7 The next step would be to identify any common prime factors. In this case both numbers have 3 and 5 as prime factors, so these would be the ones we use. To find the GCF, you simply multiply these two numbers together: 3x5 = 15 So 15 would be the GCF in that case.
What 3 prime numbers have the sum of 3?
There are not three prime numbers that have the sum of 3. The smallest prime number is 2. If all three prime numbers were 2, the sum would 2 + 2 + 2 = 6, so that is the smallest number that is the sum of three prime numbers.
How would you find the LCM of three prime numbers?
Multiply them together.
How would you find the LCM of 3 prime numbers?
What you do is multiply all 3 numbers together.
What would you prefer odd numbers or prime numbers?
Prime numbers.
What does the prime factorization of a number mean?
You can think of a factor as a number that divides another number with no remainder. For example, 3 is a factor of 6 since 3 goes into 6 two times with no remainder. Now if the factor is prime, then it is a prime factor. So in the example above, 3 is a prime factor. This is because the factor itself has only two factors, 1 and itself. 6 goes into itself also, but since 6 is not prime, it is not a prime factor. Now that you understand it, here is a more precise definition. A prime factor is a factor that is a prime number. In other words, one of the prime numbers that, when multiplied, give the original number.
Are most prime numbers also odd numbers?
All prime numbers are odd numbers. If one were even, it would be divisible by two and would, therefore, not be prime.
What is the smallest integer number that has 100 prime factors?
If they can all be the same it would be 2100 which would equal 1.2676506×10³⁰ If they have to be different prime numbers, you would have to find the first 100 prime numbers and multiply them together. In this case, you would have some astronomical number that I'm sure would take hours to figure.
How many ways can the whole number 50 be expressed as the sum of three different prime numbers?
Look at the first 2 of these prime numbers. They cannot be even for then they would be divisible by 2, so not prime. Add them together. Two odd numbers added together make an even. Subtract this even number from 50 (also even) so the third number must be even. There is no way of adding 3 prime numbers together to make an even number.
What is the connection between Euclid and prime numbers?
Euclid (c. 300 BC) was one of the first to prove that there are infinitely many prime numbers. His proof was essentially to assume that there were a finite number of prime numbers, and arrive at a contradiction. Thus, there must be infinitely many prime numbers. Specifically, he supposed that if there were a finite number of prime numbers, then if one were to multiply all those prime numbers together and add 1, it would result in a number that was not divisible by any of the (finite number of) prime numbers, thus would itself be a prime number larger than the largest prime number in the assumed list - a contradiction.
Can 5 times 7 times 4 be an example of prime factorization?
No because 4 is not a prime number. You would need to find the factors of 4 (2x2). 5, 7, 2 and 2 are prime numbers.
What are two prime numbers that if multiplied would generate a 400-digit number?
Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.
Why will a prime number times a prime number always equal a composite number?
the two prime numbers will be factors of that number, which would make that number a composite number
When you write a number as a product of prime numbers?
A number as a product of prime numbers would be "x".
