SBP-Program

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30030 prime factorization

What is the prime factorization of 30030?

Find the prime factorization of 30030

We draw a vertical line and write 30030 to the left of the line:

30030  

30030 is divisible by 30

30030 : 30 =
30030 : (2 * 3 * 5) = 1001

We write (2 * 3 * 5) (the divisor) to the right of the line and 1001 to the left of the line:

30030  2 * 3 * 5
 1001  

2, 3 and 5 are prime numbers.

1001 is not a prime number.

1001 is divisible by 13:

1001 : 13 = 77

We write 13 (the divisor) to the right of the line and 77 to the left of the line:

30030  2 * 3 * 5
 1001  13
   77  

77 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:

30030  2 * 3 * 5
 1001  13
   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:

30030  2 * 3 * 5
 1001  13
   77  7
   11  11
    1 

The numbers to the right of the line are prime factors of the number 30030.

Therefore, the prime factorization of 30030 is

30030 =
2 * 3 * 5 * 7 * 11 * 13

So, the prime factors of 30030 are

2, 3, 5, 7, 11, 13