prime factor of 8575
Answers
Q: What is the prime factorization of the number 8,575?
Answer:
The prime factors are: 5 x 5 x 7 x 7 x 7
or also written as { 5, 5, 7, 7, 7 }
Written in exponential form: 52 x 73
Explanation:
Why is the prime factorization of 8,575 written as 52 x 73?
What is prime factorization?
Prime factorization or prime factor decomposition is the process of finding which prime numbers can be multiplied together to make the original number.
Finding the prime factors of 8,575
To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.
If it doesn't make sense yet, let's try it...
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 8,575 by 2
8,575 ÷ 2 = 4,287.5 - This has a remainder. Let's try another prime number.
8,575 ÷ 3 = 2,858.3333 - This has a remainder. Let's try another prime number.
8,575 ÷ 5 = 1,715 - No remainder! 5 is one of the factors!
1,715 ÷ 5 = 343 - No remainder! 5 is one of the factors!
343 ÷ 5 = 68.6 - There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number
343 ÷ 7 = 49 - No remainder! 7 is one of the factors!
49 ÷ 7 = 7 - No remainder! 7 is one of the factors!
7 ÷ 7 = 1 - No remainder! 7 is one of the factors!
PLEASE MARK BRAINIEST
the prime factors of 8575 are
8575 = 5, 25, 7, 175, 1225, 8575 divided by 5, 5, 7, 7, 7, gives no remainder.
They are integers and prime numbers of 8575, they are also called composite number.