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400 is 2×2×2×2×5×5 when written as a product of its prime factors write 800 as a product of its prime factors

400 is 2×2×2×2×5×5 when written as a product of its prime factors write 800 as a product-example-1
User Limserhane
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Answer: 800=2^4 x 5^2

Step-by-step explanation: To write 800 as a product of its prime factors, we need to find the prime numbers that can divide evenly into 800.

First, we divide 800 by the smallest prime number, 2:

800 ÷ 2 = 400

Next, we divide the quotient, 400, by 2 again:

400 ÷ 2 = 200

Next, we divide the quotient, 200, by 2 again:

200 ÷ 2 = 100

Next, we divide the quotient, 100, by 2 again:

100 ÷ 2 = 50

Now, we try dividing the quotient, 50, by the next prime number, 5:

50 ÷ 5 = 10

Finally, we divide the quotient, 10, by 2:

10 ÷ 2 = 5

At this point, we can see that 5 is a prime number and cannot be factored any further.

Therefore, the prime factorization of 800 is:

800 = 2 × 2 × 2 × 2 × 5 × 5

In exponential form, this can be written as:

800 = 2^4 × 5^2

User Renita
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