SBP-Program

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242550 prime factorization

What is the prime factorization of 242550?

Find the prime factorization of 242550

We draw a vertical line and write 242550 to the left of the line:

242550  

242550 is divisible by 25

242550 : 25 =
242550 : (5 * 5) =
9702

We write (5 * 5) (the divisor) to the right of the line and 9702 to the left of the line:

242550  5 * 5
  9702  

3 is a prime number.

See Prime numbers 1 through 100.

9702 is not a prime number.

9702 is divisible by 6

9702 : 6 =
9702 : (2 * 3) = 1617

We write (2 * 3) (the divisor) to the right of the line and 1617 to the left of the line:

242550  5 * 5
  9702  2 * 3
  1617  

1617 is divisible by 3:

1617 : 3 = 539

See Divisibility criteria for 3.

We write 3 (the divisor) to the right of the line and 539 to the left of the line:

242550  5 * 5
  9702  2 * 3
  1617  3
   539  

539 is divisible by 7:

539 : 7 = 77

We write 7 (the divisor) to the right of the line and 77 to the left of the line:

242550  5 * 5
  9702  2 * 3
  1617  3
   539  7
    77  

7 is divisible by 7:

77 : 7 = 11

We write 7 (the divisor) to the right of the line and 11 to the left of the line:

242550  5 * 5
  9702  2 * 3
  1617  3
   539  7
    77  7
    11  

11 is a prime number. 11 is divisible by itself and by 1. We divide 11 by 11:

11 : 11 = 1

and write 11 (the divisor) to the right of the line and 1 to the left of the line:

242550  5 * 5
  9702  2 * 3
  1617  3
   539  7
    77  7
    11  11
     1 

The numbers to the right of the line are prime factors of the number 242550.

Therefore, the prime factorization of 242550 is

242550 =
2 * 3 * 3 * 5 * 5 * 7 * 7 * 11

The prime factorization of 242550 using exponents

242550 =
2 * 32 * 52 * 72 * 11

So, the prime factors of 242550 are

2, 3, 3, 5, 5, 7, 7, 11