WRITE THE PRIME FACTORIZATION OF THE NUMBER

What is a prime factorization of a number?

Expressing a given number as a product of factors that are all prime numbers is called the prime factorization of a number.

To write a number as a product of its prime factors, we follow these steps.

Step 1 :

Decompose the given number into prime factors by  division method.

Step 2 :

Write all the prime factors as a product. If the same prime factor is repeated, use exponential form to express the factors.

Write the prime factorization of the number:

Problem 1 :

26

Solution :

Decompose 26 into prime factors using division method.

Prime factors of 26

= 2 × 13

Problem 2 :

58

Solution :

Decompose 58 into prime factors.

Prime factors of 58

= 2 × 29

Problem 3 :

63

Solution :

Decompose 63 into prime factors.

Prime factors of 63

= 3 × 3 × 7

= 3× 7

Problem 4 :

85

Solution :

Decompose 85 into prime factors.

Prime factors of 85

= 5 × 17

Problem 5 :

120

Solution :

Decompose 120 into prime factors.

Prime factors of 120

2 x 2 x 2 x 3 x 5

2³ x 3 x 5

Problem 6 :

160

Solution :

Decompose 160 into prime factors.

Prime factors of 160

2 x 2 x 2 x 2 x 2 x 5

2x 5

Problem 7 :

154

Solution :

Decompose 154 into prime factors.

Prime factors of 154

2 x 7 x 11

Problem 8 :

195

Solution :

Decompose 195 into prime factors.

Prime factors of 195

 = 3 x 5 x 13

Problem 9 :

225

Solution :

Decompose 225 into prime factors.

Prime factors of 225

 = 5 x 5 x 3 x 3

= 5x 32

Problem 10 :

210

Solution :

Decompose 210 into prime factors.

Prime factors of 210

 = 2 x 3 x 5 x 7

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