SBP-Program

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6370 prime factorization

What is the prime factorization of 6370?

Find the prime factorization of 6370

We draw a vertical line and write 6370 to the left of the line:

6370  

6370 is divisible by 13

6370 : 13 = 490

We write 13 (the divisor) to the right of the line and 490 to the left of the line:

6370  13
 490  

13 is a prime number.

490 is not a prime number.

See Prime numbers 1 through 1000.

490 is divisible by 70

490 : 70 =
490 : (7 * 10) =
490 : (7 * 2 * 5) = 7

We write (7 * 2 * 5) (the divisor) to the right of the line and 7 to the left of the line:

6370  13
 490  7 * 2 * 5
   7  

7 is a prime number. 7 is divisible by itself and by 1. We divide 7 by 7:

7 : 7 = 1

and write 7 (the divisor) to the right of the line and 1 to the left of the line:

6370  13
 490  7 * 2 * 5
   7  7
   1 

The numbers to the right of the line are prime factors of the number 6370.

Therefore, the prime factorization of 6370 is

6370 =
2 * 5 * 7 * 7 * 13

The prime factorization of 6370 using exponents

6370 =
2 * 5 * 72 * 13

So, the prime factors of 6370 are

2, 5, 7, 7, 13