Factors of 789
Factors of 789 are the list of integers that can be evenly divided into 789. There are 4 factors of 789, which are 1, 3, 263, 789. Here, 789 is the biggest factor. The sum of all factors of 789 is 1056 and its factors in Pairs are (1, 789), (3, 263).
- All Factors of 789: 1, 3, 263 and 789
- Negative Factors of 789: -1, -3, -263 and -789
- Prime Factors of 789: 3, 263
- Prime Factorization of 789: 31 × 2631
- Sum of Factors of 789: 1056
1. | What Are the Factors of 789? |
2. | Factors of 789 by Prime Factorization |
3. | Factors of 789 in Pairs |
4. | FAQs on Factors of 789 |
What are Factors of 789?
Factors of 789 are pairs of those numbers whose products result in 789. These factors are either prime numbers or composite numbers.
How to Find the Factors of 789?
To find the factors of 789, we will have to find the list of numbers that would divide 789 without leaving any remainder.
- 789/263 = 3; therefore, 263 is a factor of 789 and 3 is also a factor of 789.
- 789/789 = 1; therefore, 789 is a factor of 789 and 1 is also a factor of 789.
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- Factors of 5 - The factors of 5 are 1, 5
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 789 by Prime Factorization
- 789 ÷ 3 = 263
Further dividing 263 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 263 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 789 can be written as 31 × 2631 where 3, 263 are prime.
Factors of 789 in Pairs
Pair factors of 789 are the pairs of numbers that when multiplied give the product 789. The factors of 789 in pairs are:
- 1 × 789 = (1, 789)
- 3 × 263 = (3, 263)
Negative pair factors of 789 are:
- -1 × -789 = (-1, -789)
- -3 × -263 = (-3, -263)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 789 Solved Examples
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Example 1: How many factors are there for 789?
Solution:
The factors of 789 are 1, 3, 263, 789. Therefore, 789 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 789 and 672.
Solution:
The factors of 789 are 1, 3, 263, 789 and factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672.
Therefore, the Least Common Multiple of 789 and 672 is 176736 and Greatest Common Factor (GCF) of 789 and 672 is 3. -
Example 3: Find if 1, 3 and 724 are factors of 789.
Solution:
When we divide 789 by 724 it leaves a remainder. Therefore, the number 724 is not a factor of 789. All numbers except 724 are factors of 789.
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Example 4: Find the product of all the prime factors of 789.
Solution:
Since, the prime factors of 789 are 3, 263. Therefore, the product of prime factors = 3 × 263 = 789.
FAQs on Factors of 789
What are the Factors of 789?
The factors of 789 are 1, 3, 263, 789 and its negative factors are -1, -3, -263, -789.
What is the Sum of all the Factors of 789?
Factors of 789 are 1, 3, 263, 789 and, the sum of all these factors is 1 + 3 + 263 + 789 = 1056
What are Pair Factors of 789?
The pair factors of 789 are (1, 789), (3, 263).
What is the Greatest Common Factor of 789 and 34?
The factors of 789 are 1, 3, 263, 789 and the factors of 34 are 1, 2, 17, 34. 789 and 34 have only one common factor which is 1. This implies that 789 and 34 are co-prime.
Hence, the Greatest Common Factor (GCF) of 789 and 34 is 1.
What are the Common Factors of 789 and 323?
Since, the factors of 789 are 1, 3, 263, 789 and factors of 323 are 1, 17, 19, 323. Hence, 789 and 323 have only one common factor which is 1. Therefore, 789 and 323 are co-prime.
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