Question

The prime factorization of 441 is

Answer 1

441 is odd, so we can't divide it by 2.

Since the sum of its digits is $4+4+1=9$, which is divisible by 3, we can divide 441 by 3, and we have

$441\div 3=147$

Which is still divisible by 3, because $1+4+7=12$. We have

$147\div 3=49$

49 is not divisible by 3 anymore, nor by 5 (it doesn't end with 0 or 5).

It is divisible by 7 though, we have

$49\div 7=7$

and finally,

$7\div 7=1$

So, the factorization of 441 is

$441=3^2\times 7^2$

Answer 2

Answer:3x3x7x7

Step-by-step explanation:

441 divide by3=147 remaining 0

147 divide by3=49 remaining 0

49 divide by 7=7 remaining 0

7 divide by 7=1 remaining 0

Therefore the prime factorization of 441 is 3x3x7x7