Factorising a Given Number to Basic Factors

Q.

Find the prime factors of 1024.

Q.

Find HCF of $36$ and $48$ using prime factorization method

Q. Determine the prime factorisation of the following positive integer:
(i) $20570$ (ii) $58500$ (iii) $45470971$

Q. Fill in the empty boxes.

1. 21, 7
2. 7, 21
3. 6, 21
4. 21, 9

Q. How many factors does the number 4 have?

1. 1

2. 4

3. 3

4. Infinite

Q. Sort the process of finding the factor tree of 48

1. 6=2x3
   8=2x2x2
2. Split 48 to 6&8
3. 48 = 2×3×2×2×2
4. Take number 48

Q.

Find prime factors of $729$

Q.

Which type of number pattern is this: 5, 7, 11, 13….

1. Prime number pattern
2. Composite number pattern
3. Even number pattern
4. Odd number pattern

Q.

Which of the following are factors of 54?

1. $27$

2. $18$

3. $9$

4. $4$

Q. Look at the given factor tree. Now, create a similar factor tree with different factors.​

Q. Is $25$ a multiple of $2$ or $5$? How do you know?

Q. Here are factor trees of the number $90$. Write the missing numbers:

Q. 2 is the only even Prime number

1. False
2. True

Q. 0 is a Prime number

1. True
2. False

Q.

Complete the factor tree.

1. a = 2,
   b = 5,
   c = 5,
   d = 3 or 2,
   e = 2 or 3
2. a = 3,
   b = 2,
   c = 2,
   d = 5 or 2,
   e = 2 or 5

3. a = 3,
   b = 2,
   c = 3,
   d = 2 or 5,
   e = 5 or 2

4. a = 2,
   b = 3,
   c = 3,
   d = 1or 10,
   e = 10 or 1

Q. A is a number , which is divisible only by and the number itself.

1. 100
2. Composite number
3. 1
4. Prime number

Q. 9 is a Prime number

1. True
2. False

Q. Factorize the following algebraic expression.
$a(x-y)+2b(y-x)+c(x-y{)}^2$.

Q. Factorize the following algebraic expression.
$25-p^2-q^2-2pq$.

Q. Find the highest power of $2$ in $1440$.