Question

2. Write the numbers as products of prime numbers in exponential form. c. 1568 ​

Answer 1

Answer:

The prime factors are: 2 x 2 x 2 x 2 x 2 x 7 x 7

or also written as { 2, 2, 2, 2, 2, 7, 7 }

Written in exponential form: 25 x 72

Step-by-step explanation:

Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Let's start by dividing 1,568 by 2

1,568 ÷ 2 = 784 - No remainder! 2 is one of the factors!

784 ÷ 2 = 392 - No remainder! 2 is one of the factors!

392 ÷ 2 = 196 - No remainder! 2 is one of the factors!

196 ÷ 2 = 98 - No remainder! 2 is one of the factors!

98 ÷ 2 = 49 - No remainder! 2 is one of the factors!

49 ÷ 2 = 24.5 - There is a remainder. We can't divide by 2 evenly anymore. Let's try the next prime number

49 ÷ 3 = 16.3333 - This has a remainder. 3 is not a factor.

49 ÷ 5 = 9.8 - This has a remainder. 5 is not a factor.

49 ÷ 7 = 7 - No remainder! 7 is one of the factors!

7 ÷ 7 = 1 - No remainder! 7 is one of the factors!

Answer 2

Step-by-step explanation:

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