What is the prime factorization of 2040 using exponents?

Answer 1

Look at the number. If it is even divide it by 2; make a note of 2.

Look at what you were left with after the division; since it is even again, divide by 2 again. Note another 2.

You are now left with 51. Just for fun, add up the digits. 5+1=6. 6 can be divided by 3; this means that 51 is also divisible by 3. Divide it , you are left with 17. 17 is prime, so the prime factors of 204 are 2 x 2 x 3 x 17.

The easy way to spot the small prime factors is keep on dividing by 2 as long as it is even. If it ends in 5, divide by 5. If the sum of the digits is divisible by 3, divide by 3. When you have done all these things you need to start on the hard way, like dividing by 7, 11, 13 etc.

Answer 2

Prime factorization is the determination of the set of prime numbers which multiply together to give the original integer. The prime factor of 2048 is 2 to the 11th power.

Answer 3

2,040 = 23 x 3 x 5 x 17