Prime factorization of 742
Here you will see step by step solution of prime factorization of 742, how to find factors of 742, you will see all factors of 742, how many factors of 742 has? Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742, we can see that 742 has 8 factor and sum of all factors is 1296.
- All Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
- Prime Factors of 742: 2 × 7 × 53
- Prime Factorization of 742: 21 × 71 × 531
- Sum of Factors of 742: 1296
- Is 742 prime number: No
How to find factors of 742 by Division Method?
To find the factors of 742 by division method, we need the find the all numbers between 1 to 742, which divide 742 with 0 remainder, then the number is factor of 742.
Pair factors of 742
- 742/1 = 742 [ 1 × 742 (1, 742) 1 and 742 is pair factor of 742]
- 742/2 = 371 [ 2 × 371 (2, 371) 2 and 371 is pair factor of 742]
- 742/7 = 106 [ 7 × 106 (7, 106) 7 and 106 is pair factor of 742]
- 742/14 = 53 [ 14 × 53 (14, 53) 14 and 53 is pair factor of 742]
- 742/53 = 14 [ 53 × 14 (53, 14) 53 and 14 is pair factor of 742]
- 742/106 = 7 [ 106 × 7 (106, 7) 106 and 7 is pair factor of 742]
- 742/371 = 2 [ 371 × 2 (371, 2) 371 and 2 is pair factor of 742]
- 742/742 = 1 [ 742 × 1 (742, 1) 742 and 1 is pair factor of 742]
As we checked numbers between 1 to 742 that are not leaving any remainder, hence we can say factors of 742 is 1, 2, 7, 14, 53, 106, 371, 742.
Also note that, in exponential form prime factorization of 742 is written as 21 × 71 × 531 and it is a composite number.
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