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What are distinct primes?
They are different prime factors of a number, as opposed to repeated factors.For example, the prime factorisation of 12 is 2*2*3. The distinct primes of 12 are 2 and 3.
Numbers that never end or repeat?
Irrational numbers.
Can you repeat numbers in magic square?
No.
Do flight numbers ever repeat?
No, flight numbers do not repeat. Each flight is assigned a unique number to help identify and track it.
Steps for finding the prime factorization of a number?
Start with 2. Attempt to divide the number by 2. If it goes evenly, try again. Count the number of times 2 goes into the number. Repeat with 3, and then 5, 7, 11, etc., i.e. all the primes until the prime you are trying is greater than the square root of the number.
What is the prime factorization of 144 written with the exponents?
144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.
Can we include irrational numbers in the set of positive numbers?
Yes, any positive number is a number that doesn't have a (-) behind it (-20; -23.67; -45.45454...), and is not zero (0). Any repeating number (see 3rd negative example) is irrational, no matter what its sign. Irrational numbers also include numbers (decimals, specifically) that don't repeat, but don't stop. Numbers that don't terminate include pi. Pi, as it is, is proof of a positive irrational number.
Can you repeat numbers in factor strings?
Yes.
How many combinations of 4 numbers can be made from the set of numbers 246789?
If the numbers are allowed to repeat, then there are six to the fourth power possible combinations, or 1296. If they are not allowed to repeat then there are only 360 combinations.
How do you find a happy prime?
A happy prime is a number that is both happy and prime.A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay).Happy numbers below 50 are 1, 7, 10, 13, 19, 23, 28, 31, 32, 44, and 49. The five numbers in bold are also happy primes. There are a number of techniques for finding happy primes but for prime numbers of a few digits then the squaring and summing process is just as efficient.
What set of numbers can be expressed as fractions decimals that repeat terminate or integers?
Rational numbers.
What are special kinds of decimals?
There are irrational numbers (like PI and e) that have infinitely many decimals which do not repeat and rational numbers (the quotient of two integers) which do eventually repeat.
