The prime factorization of 60 is
, arranged in ascending order, which is

To find the prime factorization of 60, start by dividing the number by the smallest prime number, which is 2, and continue the process until the quotient becomes 1.
![\[ 60 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/xr901rmsvvfi50xtjhr00yn78u10k8u3td.png)
Since 60 is even, divide it by 2:
![\[ 60 / 2 = 30 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/hgbq76yp6ybnzcrkip867t6grvqchhvbp8.png)
Now, 30 is still even, divide it by 2 again:
![\[ 30 / 2 = 15 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/8gglvm6407pvbrxiwp6k0seqmofipglusl.png)
15 is not divisible by 2, try the next prime number, which is 3:
![\[ 15 / 3 = 5 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/5mehu6iqif4949hzljbok3pe7mxq8omp7e.png)
5 is a prime number itself, so the prime factorization is complete:
![\[ 60 = 2 * 2 * 3 * 5 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/uontxfidx8kdr6pinktjr3wf662wa2it36.png)
In ascending order:
![\[ 60 = 2 * 2 * 3 * 5 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/uontxfidx8kdr6pinktjr3wf662wa2it36.png)