Find the prime factorization of the integers 1234, 10140, and 36000?

[Math100]

Homework Statement

Find the prime factorization of the integers $1234, 10140$, and $36000$.

Relevant Equations

None.

$1234=2\cdot 617$
$10140=2\cdot 2\cdot 3\cdot 5\cdot 13\cdot 13$
$36000=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 5\cdot 5\cdot 5\cdot$

Are the answers above correct? Or do I need to put them in canonical form as below?

$1234=2\cdot 617$
$10140=2^{2}\cdot 3\cdot 5\cdot 13^{2}$
$36000=2^{5}\cdot 3^{2}\cdot 5^{3}$

 

[fresh_42]

Yes.

You can check those calculations yourself on WolframAlpha:
https://www.wolframalpha.com/input?i=36000

 

[Math100]

Yes.

You can check those calculations yourself on WolframAlpha:
https://www.wolframalpha.com/input?i=36000

Thank you!