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The keyboard of a piano has 88 keys. Generate the equivalent prime factorization of 88.

User Algiz
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2 Answers

8 votes

Final answer:

The prime factorization of 88 is 2³ × 11, which is found by dividing 88 by 2 three times and then by 11, all of which are prime numbers.

Step-by-step explanation:

The question asks for the prime factorization of the number 88. To find the prime factorization, you begin by dividing the number by the smallest prime number you can, and continue this process until you have only prime numbers. Let's start factoring 88:

  1. 88 ÷ 2 = 44 (2 is a prime number)
  2. 44 ÷ 2 = 22 (2 is a prime number)
  3. 22 ÷ 2 = 11 (2 is a prime number, and 11 is also a prime number)

We now have the prime factors of 88, which are 2, 2, 2, and 11. When we write out the prime factorization, we write it as 2³ × 11, since the number 2 appears three times as a factor.

User Machour
by
3.8k points
12 votes

Answer:

11 x 2^3 =11 x 2 x 2 x 2 = 88

Step-by-step explanation:

88

11 8

2 4

2 2

Use a factor tree it helps a lot :0).

User Charles G
by
4.2k points