# Prime factorization of 144

Here you will see step by step solution of prime factorization of 144, how to find factors of 144, you will see all factors of 144, how many factors of 144 has? Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, we can see that 144 has 15 factor and sum of all factors is 403.

• All Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Prime Factors of 144: 2 × 2 × 2 × 2 × 3 × 3
• Prime Factorization of 144: 24 × 32
• Sum of Factors of 144: 403
• Is 144 prime number: No

### How to find factors of 144 by Division Method?

To find the factors of 144 by division method, we need the find the all numbers between 1 to 144, which divide 144 with 0 remainder, then the number is factor of 144.

### Pair factors of 144

• 144/1 = 144 [ 1 × 144 (1, 144) 1 and 144 is pair factor of 144]
• 144/2 = 72 [ 2 × 72 (2, 72) 2 and 72 is pair factor of 144]
• 144/3 = 48 [ 3 × 48 (3, 48) 3 and 48 is pair factor of 144]
• 144/4 = 36 [ 4 × 36 (4, 36) 4 and 36 is pair factor of 144]
• 144/6 = 24 [ 6 × 24 (6, 24) 6 and 24 is pair factor of 144]
• 144/8 = 18 [ 8 × 18 (8, 18) 8 and 18 is pair factor of 144]
• 144/9 = 16 [ 9 × 16 (9, 16) 9 and 16 is pair factor of 144]
• 144/12 = 12 [ 12 × 12 (12, 12) 12 and 12 is pair factor of 144]
• 144/16 = 9 [ 16 × 9 (16, 9) 16 and 9 is pair factor of 144]
• 144/18 = 8 [ 18 × 8 (18, 8) 18 and 8 is pair factor of 144]
• 144/24 = 6 [ 24 × 6 (24, 6) 24 and 6 is pair factor of 144]
• 144/36 = 4 [ 36 × 4 (36, 4) 36 and 4 is pair factor of 144]
• 144/48 = 3 [ 48 × 3 (48, 3) 48 and 3 is pair factor of 144]
• 144/72 = 2 [ 72 × 2 (72, 2) 72 and 2 is pair factor of 144]
• 144/144 = 1 [ 144 × 1 (144, 1) 144 and 1 is pair factor of 144]

As we checked numbers between 1 to 144 that are not leaving any remainder, hence we can say factors of 144 is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

Also note that, in exponential form prime factorization of 144 is written as 24 × 32 and it is a composite number.

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