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How did Euclid prove there is no largest prime?
The proof that there is no largest prime:Assume that there are a finite number of primes for the sake of contradiction. Then, there should be a number P that equals p1p2p3...pn+1. P is either prime or not prime (composite). If it is prime, we just show that P is larger than the largest prime in the list. If it's not prime, it must be composite. Composite always has at least one factor that is prime, but since P is not divisible by any prime in the list, the unknown prime factor(s) must be something not in the list, this also shows that there is a prime larger than the largest prime in the list. Both cases show that no matter how large a list of prime numbers, there will be always at least one larger prime outside of that list.
What is the factor rainbow for 45?
A factor rainbow is a visual representation of the factors of a number. For the number 45, the factor rainbow would display its prime factorization, which is 3 x 3 x 5. This would be represented in a factor rainbow as 45 at the top, with 3 and 5 branching out from it, each with a 3 branching out from it as well. This shows how 45 can be broken down into its prime factors.
How do you make a factor tree for 189?
First, find two numbers that when multiplied together equal 189. I can tell by looking at the number that it is divisible by 9. Any number whose digits add up to a number divisible by 9 is also divisible by 9. 1 + 8 + 9 = 18, which is divisible by 9. 189 ÷ 9 is 21. So, the top of our factor tree is: 189 9 x 21 Now, determine two pairs of numbers that when multiplied together, one pair will equal 9 and the other pair will equal 21. 9 = 3 x 3 and 21 = 7 x 3. So, now our factor tree is: 189 9 x 21 (3x3) x (7x3) You would continue doing this until you no more numbers can be factored. Since 3 and 7 are prime numbers, the factor tree is finished. The factor tree shows that the prime factorization of 189 is 3 x 3 x 3 x 7 or 33 x 7.
What is a line that shows numbers in order using a scale?
what is a line that shows a number in order using a scale is called what is it called
What shows the sum of a whole number and a fraction?
A mixed number or mixed fraction.
