What is the prime factorization in exponents of 2400?

Question

for example, the prime factorization in exponents of 56 would be 2 to the third power multiplied by seven.

Answer 1

2400 / 2 = 1200
1200 / 2 = 600
600 / 2 = 300
300 / 2 = 150
150 / 2 = 75
75 / 3 = 25
25 / 5 = 5
5 / 5 = 1

2,400 = 2^5 * 3 * 5^2

Answer 2

With big numbers, break it down into smaller or easier ones first then prime factor each of the smaller/easier ones, finally multiplying all the factors back together:

2400
= (24) * (100)
= (8 * 3) * (10 * 10)
= (2 * 2 * 2 * 3) * (2 * 5 * 2 * 5)
= (2^3 * 3) * (2^2 * 5^2)
= 2^5 * 3 * 5^2

Answer 3

I'd make life easy by noting the 00 on the end. That means that 100 is a factor.

So, factor 100 = 25x4=5^2x2^2

Now do the 24 = 6x4=3x2^3

Put it together:

2400 = 2^5 x 3 x 5^2

check
32 x 3 x 25 = 2400 , ok...

Answer 4

2400 is 24 times 100 so
the factorization of 24 is 2 to the third power times 3.
the factorization of 100 is 2 squared times 5 squared.
The product of these is our solution.
It is 2 to the fifth power times 3 times 5 squared.
Have a great evening...
Eds

Answer 5

2^5 *3* 5^2

Answer 6

2^5*5^2*3

Answer 7

divide into factors
2400= 2*1200=
=2*2*600
=2*2*2*300
=2*2*2*2*150
=2*2*2*2*2*75
=2*2*2*2*2*3*25
=2*2*2*2*2*3*5*5
=2^5*3^1*5^2

Answer 8

2400
=24*100
=3*8*10*10
=3*4*2*5*2*5*2
=3*2*2*2*5*2*5*2=2^5*3*5^2

Answer 9

two to the fifth power times three times five squared

Answer 10

2400
/ \
2 1200
. . / \
. .2 600
. . . / \
. . .2 300
. . . . / \
. . . .2 150
. . . . . / \
. . . . .2 75
. . . . . . / \
. . . . . .3 25
. . . . . . . / \
. . . . . . .5 5

2400 = 2^5(3)(5^2)