Factors of 777
Factors of 777 are the list of integers that can be evenly divided into 777. There are 8 factors of 777 of which 777 itself is the biggest factor and its positive factors are 1, 3, 7, 21, 37, 111, 259, 777. The sum of all factors of 777 is 1216 and its factors in Pairs are (1, 777), (3, 259), (7, 111), (21, 37).
- All Factors of 777: 1, 3, 7, 21, 37, 111, 259 and 777
- Negative Factors of 777: -1, -3, -7, -21, -37, -111, -259 and -777
- Prime Factors of 777: 3, 7, 37
- Prime Factorization of 777: 31 × 71 × 371
- Sum of Factors of 777: 1216
1. | What Are the Factors of 777? |
2. | Factors of 777 by Prime Factorization |
3. | Factors of 777 in Pairs |
4. | FAQs on Factors of 777 |
What are Factors of 777?
Factors of 777 are pairs of those numbers whose products result in 777. These factors are either prime numbers or composite numbers.
How to Find the Factors of 777?
To find the factors of 777, we will have to find the list of numbers that would divide 777 without leaving any remainder.
- 777/777 = 1; therefore, 777 is a factor of 777.
- 777/3 = 259; therefore, 3 is a factor of 777.
☛ Also Check:
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- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 23 - The factors of 23 are 1, 23
Factors of 777 by Prime Factorization
- 777 ÷ 3 = 259
Further dividing 259 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 259 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 777 can be written as 31 × 71 × 371 where 3, 7, 37 are prime.
Factors of 777 in Pairs
Pair factors of 777 are the pairs of numbers that when multiplied give the product 777. The factors of 777 in pairs are:
- 1 × 777 = (1, 777)
- 3 × 259 = (3, 259)
- 7 × 111 = (7, 111)
- 21 × 37 = (21, 37)
Negative pair factors of 777 are:
- -1 × -777 = (-1, -777)
- -3 × -259 = (-3, -259)
- -7 × -111 = (-7, -111)
- -21 × -37 = (-21, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 777 Solved Examples
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Example 1: How many factors are there for 777?
Solution:
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. Therefore, 777 has 8 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 777 and 336.
Solution:
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777 and factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336.
Therefore, the LCM of 777 and 336 is 12432 and Greatest Common Factor (GCF) of 777 and 336 is 21. -
Example 3: Find if 1, 7, 21, 111 and 150 are factors of 777.
Solution:
When we divide 777 by 150 it leaves a remainder. Therefore, the number 150 is not a factor of 777. All numbers except 150 are factors of 777.
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Example 4: Find the product of all the prime factors of 777.
Solution:
Since, the prime factors of 777 are 3, 7, 37. Therefore, the product of prime factors = 3 × 7 × 37 = 777.
FAQs on Factors of 777
What are the Factors of 777?
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777 and its negative factors are -1, -3, -7, -21, -37, -111, -259, -777.
What is the Sum of all Factors of 777?
Sum of all factors of 777 = (31 + 1 - 1)/(3 - 1) × (71 + 1 - 1)/(7 - 1) × (371 + 1 - 1)/(37 - 1) = 1216
What numbers are the Pair Factors of 777?
The pair factors of 777 are (1, 777), (3, 259), (7, 111), (21, 37).
What is the Greatest Common Factor of 777 and 408?
The factors of 777 and 408 are 1, 3, 7, 21, 37, 111, 259, 777 and 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408 respectively.
Common factors of 777 and 408 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 777 and 408 is 3.
How Many Factors of 777 are also Factors of 572?
Since, the factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777 and factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572. Hence, 777 and 572 have only one common factor which is 1. Therefore, 777 and 572 are co-prime.
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