How do you write the prime factorization of 900?

1 Answer
sjc
Jan 25, 2017

#900=2xx2xx3xx3xx5xx5#

or#" "900=2^2xx3^2xx5^2#

Explanation:

Split the number up into a product pair where one of them is a prime number, then split the remaining non-prime number up in the same way; continue until all the factors are prime numbers.

#900=color(red)(2)xx450#

#900=color(red)(2xx2)xx225#

#900=color(red)(2xx2xx5)xx45#

#900=color(red)(2xx2xx5xx5)xx9#

#900=color(red)(2xx2xx5xx5xx3xx3)#

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