Factors of 737
Factors of 737 are integers that can be divided evenly into 737. There are total 4 factors of 737 i.e. 1, 11, 67, 737. The Prime Factors and Pair Factors of 737 are 11 × 67 and (1, 737), (11, 67) respectively.
- All Factors of 737: 1, 11, 67 and 737
- Negative Factors of 737: -1, -11, -67 and -737
- Prime Factors of 737: 11, 67
- Prime Factorization of 737: 111 × 671
- Sum of Factors of 737: 816
1. | What Are the Factors of 737? |
2. | Factors of 737 by Prime Factorization |
3. | Factors of 737 in Pairs |
4. | FAQs on Factors of 737 |

What are Factors of 737?
Factors of 737 are pairs of those numbers whose products result in 737. These factors are either prime numbers or composite numbers.
How to Find the Factors of 737?
To find the factors of 737, we will have to find the list of numbers that would divide 737 without leaving any remainder.
- 737/67 = 11; therefore, 67 is a factor of 737 and 11 is also a factor of 737.
- 737/737 = 1; therefore, 737 is a factor of 737 and 1 is also a factor of 737.
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Factors of 737 by Prime Factorization
- 737 ÷ 11 = 67
Further dividing 67 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 67 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 737 can be written as 111 × 671 where 11, 67 are prime.
Factors of 737 in Pairs
Pair factors of 737 are the pairs of numbers that when multiplied give the product 737. The factors of 737 in pairs are:
- 1 × 737 = (1, 737)
- 11 × 67 = (11, 67)
Negative pair factors of 737 are:
- -1 × -737 = (-1, -737)
- -11 × -67 = (-11, -67)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 737 Solved Examples
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Example 1: How many factors are there for 737?
Solution:
The factors of 737 are 1, 11, 67, 737. Therefore, 737 has 4 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 737 and 605.
Solution:
The factors of 737 are 1, 11, 67, 737 and factors of 605 are 1, 5, 11, 55, 121, 605.
Therefore, the LCM of 737 and 605 is 40535 and Greatest Common Divisor (GCD) of 737 and 605 is 11. -
Example 3: Find if 11, 401 and 737 are factors of 737.
Solution:
When we divide 737 by 401 it leaves a remainder. Therefore, the number 401 is not a factor of 737. All numbers except 401 are factors of 737.
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Example 4: Find the product of all the prime factors of 737.
Solution:
Since, the prime factors of 737 are 11, 67. Therefore, the product of prime factors = 11 × 67 = 737.
FAQs on Factors of 737
What are the Factors of 737?
The factors of 737 are 1, 11, 67, 737 and its negative factors are -1, -11, -67, -737.
What is the Sum of all the Factors of 737?
Since, all factors of 737 are 1, 11, 67, 737 therefore, the sum of its factors is 1 + 11 + 67 + 737 = 816.
What Numbers are the Prime Factors of 737?
The prime factors of 737 are 11, 67.
What is the Greatest Common Factor of 737 and 146?
The factors of 737 are 1, 11, 67, 737 and the factors of 146 are 1, 2, 73, 146. 737 and 146 have only one common factor which is 1. This implies that 737 and 146 are co-prime.
Hence, the Greatest Common Factor (GCF) of 737 and 146 is 1.
What are the Common Factors of 737 and 302?
Since, the factors of 737 are 1, 11, 67, 737 and factors of 302 are 1, 2, 151, 302. Hence, 737 and 302 have only one common factor which is 1. Therefore, 737 and 302 are co-prime.
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