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What prime numbers are in 98?
The prime numbers (factors) of 98 are: 2 and 7
When can you multiply two numbers together to get the least common multiple?
When they have no common prime factors.
What is the prime factorization of of 98?
The objective of prime factorization is, as the name implies, to find the prime numbers that divide that number exactly; that is, to find the factors of that number that are prime. This is done by dividing the given number (in this case, 98) by prime numbers until you cannot divide further. Given the number 98, then, let us start by dividing by 2. Division by 2 is typically a good starting point for even numbers, since 2 is prime. We are left with 49, and we now know that 2 is a prime factor. We can divide 49 by 7, leaving us with 7 and the knowledge that 2 and 7 are prime factors. We can't divide 7 any further, so it must be the last prime factor. In other words, 98 = 2 x 7 x 7. This is the prime factorization of 98.2 x 7 x 72 x 7 x 7 = 98
Will you get the same number of factors if you multiply a prime number and itself?
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
How does finding the prime factorization of a group of numbers help you to find their greatest common factor?
If you take all the common prime factors between numbers and multiply them it will give you the gcf.
