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Number is between 17 and 22 two of its prime factors are two and five what is the number?

2 Answers

3 votes

Answer:

It is the only number in the given set that five and two can go into as a whole number.

User Peter Mols
by
7.2k points
5 votes

Answer:

20

Explanation:

Let's decode this mathematical mystery! We're looking for a number between 17 and 22 that has both 2 and 5 as prime factors. If we think about it, 20 fits the bill perfectly.

Firstly, 20 falls within the specified range (17 to 22). Now, let's talk prime factors. The prime factorization of 20 is 2 x 2 x 5, or expressed more compactly,
\(2^2 * 5\) . This means that 20 can be broken down into the product of these prime numbers.

So, two of its prime factors are indeed 2 and 5. The presence of
\(2^2\) (which is 2 times 2) accounts for the factor of 2, and the standalone 5 is the other prime factor.

In the mathematical symphony of factors, 20 harmoniously combines the notes of 2 and 5, fitting the criteria seamlessly. It's like finding the perfect blend of ingredients to create a mathematical masterpiece!

User Matt List
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6.6k points