Factors of 724
Factors of 724 are the list of integers that can be evenly divided into 724. There are overall 6 factors of 724 among which 724 is the biggest factor and 1, 2, 4, 181, 362, 724 are positive factors. The Prime Factors and Pair Factors of 724 are 2 × 181 and (1, 724), (2, 362), (4, 181) respectively.
- All Factors of 724: 1, 2, 4, 181, 362 and 724
- Negative Factors of 724: -1, -2, -4, -181, -362 and -724
- Prime Factors of 724: 2, 181
- Prime Factorization of 724: 22 × 1811
- Sum of Factors of 724: 1274
1. | What Are the Factors of 724? |
2. | Factors of 724 by Prime Factorization |
3. | Factors of 724 in Pairs |
4. | FAQs on Factors of 724 |
![Factors of 724](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-724.png)
What are Factors of 724?
Factors of 724 are pairs of those numbers whose products result in 724. These factors are either prime numbers or composite numbers.
How to Find the Factors of 724?
To find the factors of 724, we will have to find the list of numbers that would divide 724 without leaving any remainder.
- 724/724 = 1; therefore, 724 is a factor of 724.
- 724/362 = 2; therefore, 362 is a factor of 724.
☛ Also Check:
- Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 724 by Prime Factorization
- 724 ÷ 2 = 362
- 362 ÷ 2 = 181
Further dividing 181 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 181 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 724 can be written as 22 × 1811 where 2, 181 are prime.
Factors of 724 in Pairs
Pair factors of 724 are the pairs of numbers that when multiplied give the product 724. The factors of 724 in pairs are:
- 1 × 724 = (1, 724)
- 2 × 362 = (2, 362)
- 4 × 181 = (4, 181)
Negative pair factors of 724 are:
- -1 × -724 = (-1, -724)
- -2 × -362 = (-2, -362)
- -4 × -181 = (-4, -181)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 724 Solved Examples
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Example 1: How many factors are there for 724?
Solution:
The factors of 724 are 1, 2, 4, 181, 362, 724. Therefore, 724 has 6 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 724 and 673.
Solution:
The factors of 724 are 1, 2, 4, 181, 362, 724 and factors of 673 are 1, 673.
Therefore, the LCM of 724 and 673 is 487252 and Greatest Common Divisor (GCD) of 724 and 673 is 1. -
Example 3: Find if 2, 181, 520 and 724 are factors of 724.
Solution:
When we divide 724 by 520 it leaves a remainder. Therefore, the number 520 is not a factor of 724. All numbers except 520 are factors of 724.
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Example 4: Find the product of all the prime factors of 724.
Solution:
Since, the prime factors of 724 are 2, 181. Therefore, the product of prime factors = 2 × 181 = 362.
FAQs on Factors of 724
What are the Factors of 724?
The factors of 724 are 1, 2, 4, 181, 362, 724 and its negative factors are -1, -2, -4, -181, -362, -724.
What is the Sum of all Factors of 724?
Since, all factors of 724 are 1, 2, 4, 181, 362, 724 therefore, the sum of its factors is 1 + 2 + 4 + 181 + 362 + 724 = 1274.
What Numbers are the Prime Factors of 724?
The prime factors of 724 are 2, 181.
What is the Greatest Common Factor of 724 and 93?
The factors of 724 are 1, 2, 4, 181, 362, 724 and the factors of 93 are 1, 3, 31, 93. 724 and 93 have only one common factor which is 1. This implies that 724 and 93 are co-prime.
Hence, the Greatest Common Factor (GCF) of 724 and 93 is 1.
What are the Common Factors of 724 and 228?
Since, the factors of 724 are 1, 2, 4, 181, 362, 724 and the factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.
Hence, [1, 2, 4] are the common factors of 724 and 228.
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