a number is written in the following factorization 2x4x5. is the factorization a prime factorization? explain why or why not. if it isn't correct give the correct prime factorization of the number

Th correct factorization is 2x2x2x5, as that is the only way to multiply all primes and get 40

Factor the following integer:

40

The last digit of 40 is 0, which means it is even. Therefore 40 is divisible by 2:

40 = 2 20:

40 = 2*20

The last digit of 20 is 0, which means it is even. Therefore 20 is divisible by 2:

20 = 2 10:

40 = 2*2*10

The last digit of 10 is 0, which means it is even. Therefore 10 is divisible by 2:

10 = 2 5:

40 = 2*2*2*5

5 is not divisible by 2 since 5 is odd and 2 is even:

40 = 2*2*2*5 (5 is not divisible by 2)

Divide 3 into 5:

| 1 | (quotient)

3 | 5 |

- | 3 |

| 2 | (remainder)

5 is not divisible by 3:

40 = 2*2*2*5 (5 is not divisible by 2 or 3)

No primes less than 5 divide into it. Therefore 5 is prime:

40 = 2*2*2*5

There are 3 copies of 2 and 1 copy of 5 in the product:

Answer: 40 = 2^3*5