Factors of 745
Factors of 745 are the list of integers that we can split evenly into 745. There are 4 factors of 745, which are 1, 5, 149, 745. Here, 745 is the biggest factor. The Pair Factors of 745 are (1, 745), (5, 149) and its Prime Factors are 5 × 149.
- All Factors of 745: 1, 5, 149 and 745
- Negative Factors of 745: -1, -5, -149 and -745
- Prime Factors of 745: 5, 149
- Prime Factorization of 745: 51 × 1491
- Sum of Factors of 745: 900
1. | What Are the Factors of 745? |
2. | Factors of 745 by Prime Factorization |
3. | Factors of 745 in Pairs |
4. | FAQs on Factors of 745 |

What are Factors of 745?
Factors of 745 are pairs of those numbers whose products result in 745. These factors are either prime numbers or composite numbers.
How to Find the Factors of 745?
To find the factors of 745, we will have to find the list of numbers that would divide 745 without leaving any remainder.
- 745/149 = 5; therefore, 149 is a factor of 745 and 5 is also a factor of 745.
- 745/1 = 745; therefore, 1 is a factor of 745 and 745 is also a factor of 745.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
Factors of 745 by Prime Factorization
- 745 ÷ 5 = 149
Further dividing 149 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 149 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 745 can be written as 51 × 1491 where 5, 149 are prime.
Factors of 745 in Pairs
Pair factors of 745 are the pairs of numbers that when multiplied give the product 745. The factors of 745 in pairs are:
- 1 × 745 = (1, 745)
- 5 × 149 = (5, 149)
Negative pair factors of 745 are:
- -1 × -745 = (-1, -745)
- -5 × -149 = (-5, -149)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 745 Solved Examples
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Example 1: How many factors are there for 745?
Solution:
The factors of 745 are 1, 5, 149, 745. Therefore, 745 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 745 and 449.
Solution:
The factors of 745 are 1, 5, 149, 745 and factors of 449 are 1, 449.
Therefore, the Lowest Common Multiple (LCM) of 745 and 449 is 334505 and Greatest Common Divisor (GCD) of 745 and 449 is 1. -
Example 3: Find if 5, 149 and 301 are factors of 745.
Solution:
When we divide 745 by 301 it leaves a remainder. Therefore, the number 301 is not a factor of 745. All numbers except 301 are factors of 745.
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Example 4: Find the product of all the prime factors of 745.
Solution:
Since, the prime factors of 745 are 5, 149. Therefore, the product of prime factors = 5 × 149 = 745.
FAQs on Factors of 745
What are the Factors of 745?
The factors of 745 are 1, 5, 149, 745 and its negative factors are -1, -5, -149, -745.
What is the Sum of all Factors of 745?
All the Factors of 745 are 1, 5, 149, 745 and therefore the sum of all these factors is 1 + 5 + 149 + 745 = 900
What are the Prime Factors of 745?
The prime factors of 745 are 5, 149.
What is the Greatest Common Factor of 745 and 353?
The factors of 745 are 1, 5, 149, 745 and the factors of 353 are 1, 353. 745 and 353 have only one common factor which is 1. This implies that 745 and 353 are co-prime.
Hence, the Greatest Common Factor (GCF) of 745 and 353 is 1.
How Many Factors of 158 are also common to the Factors of 745?
Since, the factors of 745 are 1, 5, 149, 745 and factors of 158 are 1, 2, 79, 158. Hence, 745 and 158 have only one common factor which is 1. Therefore, 745 and 158 are co-prime.
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