Factors of 2907
Factors of 2907 are the list of integers that we can split evenly into 2907. There are 12 factors of 2907 of which 2907 itself is the biggest factor and its prime factors are 3, 17, 19 The sum of all factors of 2907 is 4680.
- All Factors of 2907: 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969 and 2907
- Prime Factors of 2907: 3, 17, 19
- Prime Factorization of 2907: 32 × 171 × 191
- Sum of Factors of 2907: 4680
1. | What Are the Factors of 2907? |
2. | Factors of 2907 by Prime Factorization |
3. | Factors of 2907 in Pairs |
4. | FAQs on Factors of 2907 |
What are Factors of 2907?
Factors of 2907 are pairs of those numbers whose products result in 2907. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2907?
To find the factors of 2907, we will have to find the list of numbers that would divide 2907 without leaving any remainder.
- 2907/2907 = 1; therefore, 2907 is a factor of 2907.
- 2907/969 = 3; therefore, 969 is a factor of 2907.
☛ Also Check:
- Factors of 57 - The factors of 57 are 1, 3, 19, 57
- Factors of 29 - The factors of 29 are 1, 29
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
Factors of 2907 by Prime Factorization
- 2907 ÷ 3 = 969
- 969 ÷ 3 = 323
Further dividing 323 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 323 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 2907 can be written as 32 × 171 × 191 where 3, 17, 19 are prime.
Factors of 2907 in Pairs
Pair factors of 2907 are the pairs of numbers that when multiplied give the product 2907. The factors of 2907 in pairs are:
- 1 × 2907 = (1, 2907)
- 3 × 969 = (3, 969)
- 9 × 323 = (9, 323)
- 17 × 171 = (17, 171)
- 19 × 153 = (19, 153)
- 51 × 57 = (51, 57)
Negative pair factors of 2907 are:
- -1 × -2907 = (-1, -2907)
- -3 × -969 = (-3, -969)
- -9 × -323 = (-9, -323)
- -17 × -171 = (-17, -171)
- -19 × -153 = (-19, -153)
- -51 × -57 = (-51, -57)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2907 Solved Examples
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Example 1: How many factors are there for 2907?
Solution:
The factors of 2907 are too many, therefore if we can find the prime factorization of 2907, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 2907 = 32 × 171 × 191
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12 -
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 2907 and 215.
Solution:
The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907 and factors of 215 are 1, 5, 43, 215.
Therefore, the Least Common Multiple of 2907 and 215 is 625005 and Greatest Common Factor (GCF) of 2907 and 215 is 1. -
Example 3: Find if 1, 3, 51, 57, 153, 708 and 2907 are factors of 2907.
Solution:
When we divide 2907 by 708 it leaves a remainder. Therefore, the number 708 is not a factor of 2907. All numbers except 708 are factors of 2907.
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Example 4: Find the product of all the prime factors of 2907.
Solution:
Since, the prime factors of 2907 are 3, 17, 19. Therefore, the product of prime factors = 3 × 17 × 19 = 969.
FAQs on Factors of 2907
What are the Factors of 2907?
The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907 and its negative factors are -1, -3, -9, -17, -19, -51, -57, -153, -171, -323, -969, -2907.
What is the Sum of all Factors of 2907?
Sum of all factors of 2907 = (32 + 1 - 1)/(3 - 1) × (171 + 1 - 1)/(17 - 1) × (191 + 1 - 1)/(19 - 1) = 4680
What are Pair Factors of 2907?
The pair factors of 2907 are (1, 2907), (3, 969), (9, 323), (17, 171), (19, 153), (51, 57).
What is the Greatest Common Factor of 2907 and 1376?
The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907 and the factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376. 2907 and 1376 have only one common factor which is 1. This implies that 2907 and 1376 are co-prime.
Hence, the Greatest Common Factor (GCF) of 2907 and 1376 is 1.
How Many Factors of 2907 are also common to the Factors of 1239?
Since, the factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907 and the factors of 1239 are 1, 3, 7, 21, 59, 177, 413, 1239.
Hence, [1, 3] are the common factors of 2907 and 1239.
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