Prime factorization of 484
Here you will see step by step solution of prime factorization of 484, how to find factors of 484, you will see all factors of 484, how many factors of 484 has? Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484, we can see that 484 has 9 factor and sum of all factors is 931.
- All Factors of 484: 1, 2, 4, 11, 22, 44, 121, 242, 484
- Prime Factors of 484: 2 × 2 × 11 × 11
- Prime Factorization of 484: 2^{2} × 11^{2}
- Sum of Factors of 484: 931
- Is 484 prime number: No
How to find factors of 484 by Division Method?
To find the factors of 484 by division method, we need the find the all numbers between 1 to 484, which divide 484 with 0 remainder, then the number is factor of 484.
Pair factors of 484
- 484/1 = 484 [ 1 × 484 (1, 484) 1 and 484 is pair factor of 484]
- 484/2 = 242 [ 2 × 242 (2, 242) 2 and 242 is pair factor of 484]
- 484/4 = 121 [ 4 × 121 (4, 121) 4 and 121 is pair factor of 484]
- 484/11 = 44 [ 11 × 44 (11, 44) 11 and 44 is pair factor of 484]
- 484/22 = 22 [ 22 × 22 (22, 22) 22 and 22 is pair factor of 484]
- 484/44 = 11 [ 44 × 11 (44, 11) 44 and 11 is pair factor of 484]
- 484/121 = 4 [ 121 × 4 (121, 4) 121 and 4 is pair factor of 484]
- 484/242 = 2 [ 242 × 2 (242, 2) 242 and 2 is pair factor of 484]
- 484/484 = 1 [ 484 × 1 (484, 1) 484 and 1 is pair factor of 484]
As we checked numbers between 1 to 484 that are not leaving any remainder, hence we can say factors of 484 is 1, 2, 4, 11, 22, 44, 121, 242, 484.
Also note that, in exponential form prime factorization of 484 is written as 2^{2} × 11^{2} and it is a composite number.
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