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4420 prime factorization

What is the prime factorization of 4420?

Find the prime factorization of 4420

We draw a vertical line and write 4420 to the left of the line:

4420  

4420 is divisible by 10

4420 : 10 =
4420 : (2 * 5) = 442

See Divisibility criteria for 10.

We write (2 * 5) (the divisor) to the right of the line and 442 to the left of the line:

4420  2 * 5
 442  

Both 2 and 5 are prime numbers.

442 is not a prime number.

See Prime numbers 1 through 1000.

442 is divisible by 17

442 : 17 = 26

We write 17 (the divisor) to the right of the line and 26 to the left of the line:

4420  2 * 5
 442  17
  26  

26 is divisible by 2

26 : 2 = 13

We write 2 (the divisor) to the right of the line and 13 to the left of the line:

4420  2 * 5
 442  17
  26  2
  13  

13 is a prime number. 13 is divisible by itself and by 1. We divide 13 by 13:

13 : 13 = 1

and write 13 (the divisor) to the right of the line and 1 to the left of the line:

4420  2 * 5
 442  17
  26  2
  13  13
   1 

The numbers to the right of the line are prime factors of the number 4420.

Therefore, the prime factorization of 4420 is

4420 =
2 * 2 * 5 * 13 * 17

The prime factorization of 4420 using exponents

4420 =
22 * 5 * 13 * 17

So, the prime factors of 4420 are

2, 2, 5, 13, 17