Question

Determine the prime factorization of 90.

A.
2^2• 3 • 5

B.
2^3• 11

C.
2^2• 11

D.
2 • 3^2• 5

Would the answer be C?

Answer 1

2^2 is 4

Answer 2

so 2^2*11 = 4*11 = 44 which is NOT 90

Answer 3

what are the prime factors that multiply together to make 90?

Answer 4

90 = 2×3²×5

Answer 5

keep dividing it continuously by possible lowest no
and then you'll get!

Answer 6

ok

Answer 7

Here's how you'd answer the question

Start with 90 and divide by 2 to get 90/2 = 45. So 2 is a factor of 90

Then notice how 45/2 = 22.5 so 2 is NOT a factor of 45

-----------------

Now divide 45 by 3 to get 45/3 = 15. So 3 is a factor of 45

15 isn't a multiple of 2, but it's a multiple of 3. So 15/3 = 5

-------------------

We found the following prime numbers: 2, 3, 5

The '3' occurs twice, which is why the prime factorization is \(\Large 2*3^2*5\)

Answer 8

ohh ok

Answer 9

It might help to do a factorization tree like this

Answer 10

@jim_thompson5910 explained what i was trying to say!!
it's the correct and best method

Answer 11

circle the prime numbers in the factor tree

Answer 12

when you multiply all those circled prime numbers out, you get the final answer

Answer 13

ohh ok, I didn't think of it that way, now i get it

Answer 14

ok, that's good things are clicking now