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Prime Numbers A Prime Number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.
2 X 3 = 6 Factors 2 AND 3 ARE FACTORS"Factors" are the numbers you multiply together to get another number: 2 X 3 = 6 2 AND 3 ARE FACTORS
Prime Factorization "Prime Factorization" is finding which prime numbers multiply together to make the original number.
Example 1: What are the prime factors of 12 ?It is best to start working from the smallest prime number, which is 2, so let's check: 12 ÷ 2 = 6
Yes, it divided evenly by 2. We have taken the first step!But 6 is not a prime number, so we need to go further. Let's try 2 again: 6 ÷ 2 = 3
Yes, that worked also. And 3 is a prime number, so we have the answer:12 = 2 × 2 × 3
As you can see, every factor is a prime number, so the answer must be right.
Example 2: What is the prime factorization of 147 ?Can we divide 147 evenly by 2? No, so we should try the next prime number, 3: 147 ÷ 3 = 49
Then we try factoring 49, and find that 7 is the smallest prime number that works:49 ÷ 7 = 7
And that is as far as we need to go, because all the factors are prime numbers.147 = 3 × 7 × 7
Another Method We showed you how to do the factorization by starting at the smallest prime and working upwards.
But sometimes it is easier to break a number down into any factors you can ... then work those factor down to primes.
Example: What are the prime factors of 90 ?Break 90 into 9 × 10 The prime factors of 9 are 3 and 3 The prime factors of 10 are 2 and 5
So the prime factors of 90 are 3, 3, 2 and 5
Unique There is only one (unique!) set of prime factors for any number.
Example The prime factors of 330 are 2, 3, 5 and 11:330 = 2 × 3 × 5 × 11 There is no other possible set of prime numbers that can be multiplied to make 330.
Working With Common Denominators By: Larry Wilson.
Investigating Factors of numbers. Investigate the factors of the following numbers Prime numbers are numbers that have exactly two different factors (
Prime Numbers and Prime Factorization
Prime Numbers and Prime Factorization. Factors Factors are the numbers you multiply together to get a product. For example, the product 24 has several.
Use of Venn Diagrams to find the GCF and LCM
Section 5.1 Prime Factorization and Greatest Common Factor.
Prime Number – a number that has only two factors, itself and 1.
Prime Factorization No, not this kind of prime..
Definition of a Prime Number
9/21/12. I can identify which factors are prime numbers. LEARNING TARGET.
There are 189 students in the band. The difference between the number of boys and the number of girls is 27. How many boys and girls each are in the band?
Numbers Prime Factors: Every number can be broken down into the smallest numbers which when multiplied together will eventually make that number...
Using factors to find the prime factorization of a number
How do I solve a proportion?
Factors Terminology: 3 4 =12
Decimal Division You must learn the rules. Dividing a decimal by a whole number 1.2 ÷ 2 Divisor = 2 Dividend = 1.2 Step 1: move the decimal in the dividend.
Used to find the LCM and GCF to help us add and subtract fractions.
How to Build a Factor Tree You will need to use factors and prime numbers.
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