Question

prime factor of 4375​

Answer 1

Answer:

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Answer 2

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Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let's start by dividing 4,375 by 2

4,375 ÷ 2 = 2,187.5 - This has a remainder. Let's try another prime number.

4,375 ÷ 3 = 1,458.3333 - This has a remainder. Let's try another prime number.

4,375 ÷ 5 = 875 - No remainder! 5 is one of the factors!

875 ÷ 5 = 175 - No remainder! 5 is one of the factors!

175 ÷ 5 = 35 - No remainder! 5 is one of the factors!

35 ÷ 5 = 7 - No remainder! 5 is one of the factors!

7 ÷ 5 = 1.4 - There is a remainder. We can't divide by 5 evenly anymore. Let's try the next prime number

7 ÷ 7 = 1 - No remainder! 7 is one of the factors!

The orange divisor(s) above are the prime factors of the number 4,375. If we put all of it together we have the factors 5 x 5 x 5 x 5 x 7 = 4,375. It can also be written in exponential form as 54 x 71.

Factor Tree

Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 4,375.

4,375

Factor Arrows

5 875

Factor Arrows

5 175

Factor Arrows

5 35

Factor Arrows

5 7

More Prime Factorization Examples

4,373 4,374 4,376 4,377

4,3731 21 x 37 23 x 5471 31 x 1,4591