write the prime factorization of each number using exponents.?

Question

write the prime factorizacion of each number using exponents. 50

Answer 1

You've written similar questions so I'm not sure you are getting the concept yet. It seems like you are just asking so you can put the answer on your homework.

It's better to learn the method so you can do it yourself... because we won't be there when the test rolls around.

First, you need to know what are prime numbers. They are the numbers 2, 3, 5, 7, 11, 13, 17, etc. which have no other divisors. This means you can't divide them further.

To determine prime factors, start with 2... does that go evenly into 50? Yes. 2 x 25 = 50.
Remember '2'.

So now we need to factor 25...
Does 2 go evenly into 25, No.
Does 3 go evenly into 25, No.
Does 5 go evenly into 25, Yes. 5 x 5 = 25.
Remember '5'.

Finally we need to factor 5, but it is prime, so you can stop.
Remember another '5'.

So your prime factors of 50 are 2, 5, 5 (2 x 5 x 5 = 50).

But when you have the same factor more than once, simply write it using an exponent. You used 2 once (2) and 5 twice (5²). You could write 2¹, but an exponent of 1 is assumed, so I'd just put 2.

So the answer is:
50 = 2 x 5²

Answer 2

2^1 * 5^2

Answer 3

50=2x25=2x5x5=2^1x5^2