my brother in 5th grade was suppose to do this but needed help.?

Question

write the prime factorization of each number. Then write it using exponents.
example- 18 2x3x3=2x3^2
i get how they got the answer but not how to find the rest.
36
40
90
is there a trick we aren't doing that is more simple?

Answer 1

To get the prime factors of a number, you can use the factor tree.

36
^
/ \
6 6
^ ^
2,3,2,3

36 = 2^2 x 3^2


40
^
/ \
5 8
^
4 2
^
2 2

40 = 2^3 x 5


90
^
/ \
9 10
^ ^
3 3 5 2

90 = 3^2 x 5 x 2

Answer 2

36 = 2 x 18
36 = 2 x 2 x 9
36 = 2 x 2 x 3 x 3
36 = 2 ² x 3 ²

40 = 4 x 10
40 = 2 x 2 x 2 x 5
40 = 2 ³ x 5

90 = 2 x 45
90 = 2 x 5 x 9

Answer 3

36=2x2x3x3 =2^2x3^2
40=2x2x2x5=2^3x5
90=2x3x3x5=2x3^2x5

The easiest way for me is to start with the lowest prime and see if it goes into the number and then work up to the larger prime numbers.

Answer 4

What I could fit in to one among your 3 proposed possible answer is on the right-side of the equation:
= (2 * 3)^2
= 6^2
= 36

It could be that there is an inaccuracy in the presentation of the problem.

Answer 5

36
6*6
3*2 3*2
no trick just common sense

Answer 6

Silly old bear is right. you just keep on breaking down the number until you can break it down no more