Question

The number 40 can be written as the product of a prime factor like 40=2×2×2×5 . Write the number 100 as a product of its prime factors in tge same way

Answer 1

The number 100 as a product of its prime factors is expressed as 2² × 5², where you divide by 2 until you can no longer do so and then proceed with the next smallest prime number.

Step-by-step explanation:

To express the number 100 as a product of its prime factors, we start by finding the smallest prime number that divides 100, which is 2. We divide 100 by 2 to get 50. The process is repeated with the quotient until we are left with only prime numbers:

100 ÷ 2 = 50

50 ÷ 2 = 25

Now, 25 is not divisible by 2, but it is divisible by the next smallest prime number, which is 5:

25 ÷ 5 = 5

5 ÷ 5 = 1

At this point, we've reached 1, which means we have all of our prime factors. The number 100 can be written as 2 × 2 × 5 × 5, or 2² × 5² using exponent notation.

Answer 2

The answer to your question is 2 x 2 x 5 x 5 or 2² 5²

Step-by-step explanation:

Process

1.- To find the prime factors of a number, we must divide the number by prime numbers like 2, 3, 5, 7, 11, etc. starting from the lowest number.

100 2

50 2

25 5

5 5

1

Then 100 = 2 x 2 x 5 x 5 or 2² 5²