Factors of 4860
Factors of 4860 are integers that can be divided evenly into 4860. There are overall 36 factors of 4860 among which 4860 is the biggest factor and its prime factors are 2, 3, 5. The sum of all factors of 4860 is 15288.
- All Factors of 4860: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430 and 4860
- Prime Factors of 4860: 2, 3, 5
- Prime Factorization of 4860: 22 × 35 × 51
- Sum of Factors of 4860: 15288
1. | What Are the Factors of 4860? |
2. | Factors of 4860 by Prime Factorization |
3. | Factors of 4860 in Pairs |
4. | FAQs on Factors of 4860 |
What are Factors of 4860?
Factors of 4860 are pairs of those numbers whose products result in 4860. These factors are either prime numbers or composite numbers.
How to Find the Factors of 4860?
To find the factors of 4860, we will have to find the list of numbers that would divide 4860 without leaving any remainder.
- 4860/45 = 108; therefore, 45 is a factor of 4860 and 108 is also a factor of 4860.
- 4860/324 = 15; therefore, 324 is a factor of 4860 and 15 is also a factor of 4860.
☛ Also Check:
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 4860 by Prime Factorization
- 4860 ÷ 2 = 2430
- 2430 ÷ 2 = 1215
Further dividing 1215 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1215 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 4860 can be written as 22 × 35 × 51 where 2, 3, 5 are prime.
Factors of 4860 in Pairs
Pair factors of 4860 are the pairs of numbers that when multiplied give the product 4860. The factors of 4860 in pairs are:
- 1 × 4860 = (1, 4860)
- 2 × 2430 = (2, 2430)
- 3 × 1620 = (3, 1620)
- 4 × 1215 = (4, 1215)
- 5 × 972 = (5, 972)
- 6 × 810 = (6, 810)
- 9 × 540 = (9, 540)
- 10 × 486 = (10, 486)
- 12 × 405 = (12, 405)
- 15 × 324 = (15, 324)
- 18 × 270 = (18, 270)
- 20 × 243 = (20, 243)
- 27 × 180 = (27, 180)
- 30 × 162 = (30, 162)
- 36 × 135 = (36, 135)
- 45 × 108 = (45, 108)
- 54 × 90 = (54, 90)
- 60 × 81 = (60, 81)
Negative pair factors of 4860 are:
- -1 × -4860 = (-1, -4860)
- -2 × -2430 = (-2, -2430)
- -3 × -1620 = (-3, -1620)
- -4 × -1215 = (-4, -1215)
- -5 × -972 = (-5, -972)
- -6 × -810 = (-6, -810)
- -9 × -540 = (-9, -540)
- -10 × -486 = (-10, -486)
- -12 × -405 = (-12, -405)
- -15 × -324 = (-15, -324)
- -18 × -270 = (-18, -270)
- -20 × -243 = (-20, -243)
- -27 × -180 = (-27, -180)
- -30 × -162 = (-30, -162)
- -36 × -135 = (-36, -135)
- -45 × -108 = (-45, -108)
- -54 × -90 = (-54, -90)
- -60 × -81 = (-60, -81)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 4860 Solved Examples
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Example 1: How many factors are there for 4860?
Solution:
The factors of 4860 are too many, therefore if we can find the prime factorization of 4860, 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 4860 = 22 × 35 × 51
Therefore, the total number of factors are (2 + 1) × (5 + 1) × (1 + 1) = 3 × 6 × 2 = 36 -
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 4860 and 1810.
Solution:
The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 and factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810.
Therefore, the Least Common Multiple of 4860 and 1810 is 879660 and Highest Common Factor (HCF) of 4860 and 1810 is 10. -
Example 3: Find if 2, 6, 10, 45, 135, 162, 180 and 3567 are factors of 4860.
Solution:
When we divide 4860 by 3567 it leaves a remainder. Therefore, the number 3567 is not a factor of 4860. All numbers except 3567 are factors of 4860.
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Example 4: Find the product of all the prime factors of 4860.
Solution:
Since, the prime factors of 4860 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.
FAQs on Factors of 4860
What are the Factors of 4860?
The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 and its negative factors are -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -81, -90, -108, -135, -162, -180, -243, -270, -324, -405, -486, -540, -810, -972, -1215, -1620, -2430, -4860.
What is the Sum of all the Factors of 4860?
Sum of all factors of 4860 = (22 + 1 - 1)/(2 - 1) × (35 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) = 15288
What are the Prime Factors of 4860?
The prime factors of 4860 are 2, 3, 5.
What is the Greatest Common Factor of 4860 and 4110?
The factors of 4860 and 4110 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 and 1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055, 4110 respectively.
Common factors of 4860 and 4110 are [1, 2, 3, 5, 6, 10, 15, 30].
Hence, the Greatest Common Factor (GCF) of 4860 and 4110 is 30.
How Many Factors of 4860 are also Factors of 4525?
Since, the factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860 and the factors of 4525 are 1, 5, 25, 181, 905, 4525.
Hence, [1, 5] are the common factors of 4860 and 4525.
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