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answer should be correct
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Answers
Answer:
Step-by-step explanation:
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23, and we have a prime number chart if you need more.
If we can make it by multiplying other whole numbers it is a Composite Number.
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
Here are some examples:
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 exactly 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.
Note: 12 = 2 × 2 × 3 can also be written using exponents as 12 = 22 × 3
Example 2: What is the prime factorization of 147 ?
Can we divide 147 exactly by 2?
147 ÷ 2 = 73½
No it can't. The answer should be a whole number, and 73½ is not.
Let's try the next prime number, 3:
147 ÷ 3 = 49
That worked, now we try factoring 49.
The next prime, 5, does not work. But 7 does, so we get:
49 ÷ 7 = 7
And that is as far as we need to go, because all the factors are prime numbers.
147 = 3 × 7 × 7
(or 147 = 3 × 72 using exponents)
Example 3: What is the prime factorization of 17 ?
Hang on ... 17 is a Prime Number.
So that is as far as we can go.
17 = 17