What is Prime Factorizatin method please explain it properly with using examples if you give me right answer with best explanation so I will mark you as brainliest and give you 10 thanks and I will follow you too
Answers
Prime factorization is continues multiplication using prime numbers only.
Example: 125= 5×5×5 because 5 will divide 125, 25 times so after that 5 will also divide 25, 5 times
So the answer will be 5×5×5
Answer:
it is a method to find the lcm and hcj
Step-by-step explanation:
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.
Like this:
prime composite
2 is Prime, 3 is Prime, 4 is Composite (=2×2), 5 is Prime, and so on...
Factors
"Factors" are the numbers you multiply together to get another number:
factors 2x3=6
Prime Factorization
"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
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
Factor Tree
And a "Factor Tree" can help: find any factors of the number, then the factors of those numbers, etc, until we can't factor any more.
Example: 48
factor tree 48 = 2 x 2 x 2 x 2 x 3
48 = 8 × 6, so we write down "8" and "6" below 48
Now we continue and factor 8 into 4 × 2
Then 4 into 2 × 2
And lastly 6 into 3 × 2
We can't factor any more, so we have found the prime factors.
Which reveals that 48 = 2 × 2 × 2 × 2 × 3
(or 48 = 24 × 3 using exponents)
hope it helps..
more doubts feel frre to ask me.follow meee tooo