Factors of 4050
Factors of 4050 are integers that can be divided evenly into 4050. There are 30 factors of 4050, of which the following are its prime factors 2, 3, 5. The Prime Factorization of 4050 is 21 × 34 × 52.
- All Factors of 4050: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025 and 4050
- Prime Factors of 4050: 2, 3, 5
- Prime Factorization of 4050: 21 × 34 × 52
- Sum of Factors of 4050: 11253
1. | What Are the Factors of 4050? |
2. | Factors of 4050 by Prime Factorization |
3. | Factors of 4050 in Pairs |
4. | FAQs on Factors of 4050 |

What are Factors of 4050?
Factors of 4050 are pairs of those numbers whose products result in 4050. These factors are either prime numbers or composite numbers.
How to Find the Factors of 4050?
To find the factors of 4050, we will have to find the list of numbers that would divide 4050 without leaving any remainder.
- 4050/270 = 15; therefore, 270 is a factor of 4050 and 15 is also a factor of 4050.
- 4050/675 = 6; therefore, 675 is a factor of 4050 and 6 is also a factor of 4050.
☛ Also Check:
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 4050 by Prime Factorization
- 4050 ÷ 2 = 2025
Further dividing 2025 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 2025 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 4050 can be written as 21 × 34 × 52 where 2, 3, 5 are prime.
Factors of 4050 in Pairs
Pair factors of 4050 are the pairs of numbers that when multiplied give the product 4050. The factors of 4050 in pairs are:
- 1 × 4050 = (1, 4050)
- 2 × 2025 = (2, 2025)
- 3 × 1350 = (3, 1350)
- 5 × 810 = (5, 810)
- 6 × 675 = (6, 675)
- 9 × 450 = (9, 450)
- 10 × 405 = (10, 405)
- 15 × 270 = (15, 270)
- 18 × 225 = (18, 225)
- 25 × 162 = (25, 162)
- 27 × 150 = (27, 150)
- 30 × 135 = (30, 135)
- 45 × 90 = (45, 90)
- 50 × 81 = (50, 81)
- 54 × 75 = (54, 75)
Negative pair factors of 4050 are:
- -1 × -4050 = (-1, -4050)
- -2 × -2025 = (-2, -2025)
- -3 × -1350 = (-3, -1350)
- -5 × -810 = (-5, -810)
- -6 × -675 = (-6, -675)
- -9 × -450 = (-9, -450)
- -10 × -405 = (-10, -405)
- -15 × -270 = (-15, -270)
- -18 × -225 = (-18, -225)
- -25 × -162 = (-25, -162)
- -27 × -150 = (-27, -150)
- -30 × -135 = (-30, -135)
- -45 × -90 = (-45, -90)
- -50 × -81 = (-50, -81)
- -54 × -75 = (-54, -75)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 4050 Solved Examples
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Example 1: How many factors are there for 4050?
Solution:
The factors of 4050 are too many, therefore if we can find the prime factorization of 4050, 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 4050 = 21 × 34 × 52
Therefore, the total number of factors are (1 + 1) × (4 + 1) × (2 + 1) = 2 × 5 × 3 = 30 -
Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 4050 and 1316.
Solution:
The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050 and factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316.
Therefore, the Least Common Multiple (LCM) of 4050 and 1316 is 2664900 and Highest Common Factor (HCF) of 4050 and 1316 is 2. -
Example 3: Find if 10, 15, 30, 54, 810, 1219, 1350 and 2025 are factors of 4050.
Solution:
When we divide 4050 by 1219 it leaves a remainder. Therefore, the number 1219 is not a factor of 4050. All numbers except 1219 are factors of 4050.
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Example 4: Find the product of all the prime factors of 4050.
Solution:
Since, the prime factors of 4050 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.
FAQs on Factors of 4050
What are the Factors of 4050?
The factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050 and its negative factors are -1, -2, -3, -5, -6, -9, -10, -15, -18, -25, -27, -30, -45, -50, -54, -75, -81, -90, -135, -150, -162, -225, -270, -405, -450, -675, -810, -1350, -2025, -4050.
What is the Sum of Factors of 4050?
Sum of all factors of 4050 = (21 + 1 - 1)/(2 - 1) × (34 + 1 - 1)/(3 - 1) × (52 + 1 - 1)/(5 - 1) = 11253
What are the Pair Factors of 4050?
The pair factors of 4050 are (1, 4050), (2, 2025), (3, 1350), (5, 810), (6, 675), (9, 450), (10, 405), (15, 270), (18, 225), (25, 162), (27, 150), (30, 135), (45, 90), (50, 81), (54, 75).
What is the Greatest Common Factor of 4050 and 2264?
The factors of 4050 and 2264 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050 and 1, 2, 4, 8, 283, 566, 1132, 2264 respectively.
Common factors of 4050 and 2264 are [1, 2].
Hence, the GCF of 4050 and 2264 is 2.
What are the Common Factors of 4050 and 2911?
Since, the factors of 4050 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050 and factors of 2911 are 1, 41, 71, 2911. Hence, 4050 and 2911 have only one common factor which is 1. Therefore, 4050 and 2911 are co-prime.
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