3. Which factors are not included in the prime factorisation of a composite number?
4. Write the greatest 4-digit number and express it in terms of its prime factors.
5. Write the smallest 5-digit number and express it in the form of its prime factors.
6. Find all the prime factors of 1729 and arrange them in ascending order. Now state the
relation, if any, between two consecutive prime factors.
7. The product of three consecutive numbers is always divisible by 6. Verify this statement
with the help of some examples.
8. The sum of two consecutive odd numbers is divisible by 4. Verify this statement with
the help of some examples
9. In which of the following expressions, prime factorisation has been done?
(a) 24 = 2 x 3 x 4 (b) 56 = 7x 2 x 2 x 2
(c) 70 = 2 x 5x7 (d) 54= 2 x 3 x 9
10. Determine if 25110 is divisible by 45.
[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9).
11. 18 is divisible by both 2 and 3. It is also divisible by 2 x 3=6. Similarly, a number
is divisible by both 4 and 6. Can we say that the number must also be divisible by
4x6=24? If not give an example to justify your answer.
12. I am the smallest number, having four different prime factors. Can you find me?
Answers
Answer:
you should give only one question at a time, if you post 12 questions at a time nobody will gonna help you, its my suggestion and my advice.
but I am giving you some answers.
Step-by-step explanation:
Q1) Which factors are not included in the prime factorisation of a composite number?
A)1. factor 1 and the number itself are not included in the prime factorization of a composite number.
Q2). Write the greatest 4-digit number and express it in terms of its prime factors.
A2). Prime factors of 9999
Therefore, 9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.
5. Write the smallest 5-digit number and express it in the form of its prime factors.
ans) Prime numbers are the numbers with two factors, 1 and the number itself. The smallest five-digit number = 10000
and I am requesting you to upload only one question at a time.
Thankyou, hope it helps. and sorry if I seem rude. but I am just giving you a simple advice I don't want to hurt you.
Thankyou, be happy :-)