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Chapter 4: Q57. (page 174)

Critical Thinking Explain why all two-digit whole numbers with 5 as the ones鈥� digit are composite.

Short Answer

Expert verified

All two-digit whole numbers with 5 as the one鈥檚 digit will always have 5 as one of the factors apart from 1 and itself and therefore, will be a composite number.

Step by step solution

01

  Define composite numbers and prime numbers

Composite numbers are defined as whole numbers that has more than 2 factors and prime numbers are defined as whole numbers that is greater than 1 and has exactly two whole number factors 1 and itself.

02

  Observe two-digit whole numbers with 5

Every multiple of 5 is a composite number except for the number 5 itself.

For instance, let鈥檚 take 25. Now, the number is divisible by 5. Hence, the number is composite.

Let鈥檚 take another example 75. Here too the number is divisible by 5 hence, is not a prime number thereby being a composite.

03

  State the conclusion

Since, both the numbers have more than two factors, therefore they are composite numbers and by this it can be concluded that all the two-digit numbers with ones鈥� digit as 5 are composite numbers.

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Most popular questions from this chapter

Find the greatest common factor of the numbers.

54, 89

Write the mixed number as an improper fraction. 379

Write the prime factorization of the number.

154

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

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Which numbers are not relatively prime?

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  2. 34,69
  3. 63,91
  4. 26,85
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