Question

*Answer quickly please*

Write the prime factorizations with factor tree for each of the following.
a) 660
b) 448
c) 1,025
d) 900

Answer 1

a.) 2^2 x 3 x 5 x 11, b.) 2^6 x 7, c.) 5 x 2 x 41, d.) 3^2 x 2^2 x 5^2

Explanation:

660 ----> 2,330---> 3,110 ----> 10,11 ---> 2,5

so we have 2 x 2 x 3 x 5 x 11.

448 ---> 2,224 ---> 2,112 ----> 2,56 ----> 2,28 ----> 2,14 ----> 2,7

so we have 2 x 2 x 2 x 2 x 2 x 2 x 7 or 2^6 x 7

1025 ---> 5,205 ----> 5,41

so we have 5 x 5 x 41 or 5^2 x 41

900 ----> 9,100 where the 9 splits in 3 x 3, and the 100 splits into 10,10, then each 10,10 splits into 2,5

therefore we have 3 x 3 x 2 x 5 x 2 x 5 or 3^2 x 2^2 x 5^2

Answer 2

Explanation:

a. 660: 2^2 x 3 x 5 x 11

b. 448: 2^6 x 7

c. 1025: 5^2 x 41

d. 2^2 x 3^2 x 5^2