Factors of 4620
Factors of 4620 are the list of integers that can be evenly divided into 4620. There are total 48 factors of 4620, of which 2, 3, 5, 7, 11 are its prime factors. The Prime Factorization of 4620 is 22 × 31 × 51 × 71 × 111.
- All Factors of 4620: 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310 and 4620
- Prime Factors of 4620: 2, 3, 5, 7, 11
- Prime Factorization of 4620: 22 × 31 × 51 × 71 × 111
- Sum of Factors of 4620: 16128
1. | What Are the Factors of 4620? |
2. | Factors of 4620 by Prime Factorization |
3. | Factors of 4620 in Pairs |
4. | FAQs on Factors of 4620 |
What are Factors of 4620?
Factors of 4620 are pairs of those numbers whose products result in 4620. These factors are either prime numbers or composite numbers.
How to Find the Factors of 4620?
To find the factors of 4620, we will have to find the list of numbers that would divide 4620 without leaving any remainder.
- 4620/28 = 165; therefore, 28 is a factor of 4620 and 165 is also a factor of 4620.
- 4620/132 = 35; therefore, 132 is a factor of 4620 and 35 is also a factor of 4620.
☛ Also Check:
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
Factors of 4620 by Prime Factorization
- 4620 ÷ 2 = 2310
- 2310 ÷ 2 = 1155
Further dividing 1155 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1155 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 4620 can be written as 22 × 31 × 51 × 71 × 111 where 2, 3, 5, 7, 11 are prime.
Factors of 4620 in Pairs
Pair factors of 4620 are the pairs of numbers that when multiplied give the product 4620. The factors of 4620 in pairs are:
- 1 × 4620 = (1, 4620)
- 2 × 2310 = (2, 2310)
- 3 × 1540 = (3, 1540)
- 4 × 1155 = (4, 1155)
- 5 × 924 = (5, 924)
- 6 × 770 = (6, 770)
- 7 × 660 = (7, 660)
- 10 × 462 = (10, 462)
- 11 × 420 = (11, 420)
- 12 × 385 = (12, 385)
- 14 × 330 = (14, 330)
- 15 × 308 = (15, 308)
- 20 × 231 = (20, 231)
- 21 × 220 = (21, 220)
- 22 × 210 = (22, 210)
- 28 × 165 = (28, 165)
- 30 × 154 = (30, 154)
- 33 × 140 = (33, 140)
- 35 × 132 = (35, 132)
- 42 × 110 = (42, 110)
- 44 × 105 = (44, 105)
- 55 × 84 = (55, 84)
- 60 × 77 = (60, 77)
- 66 × 70 = (66, 70)
Negative pair factors of 4620 are:
- -1 × -4620 = (-1, -4620)
- -2 × -2310 = (-2, -2310)
- -3 × -1540 = (-3, -1540)
- -4 × -1155 = (-4, -1155)
- -5 × -924 = (-5, -924)
- -6 × -770 = (-6, -770)
- -7 × -660 = (-7, -660)
- -10 × -462 = (-10, -462)
- -11 × -420 = (-11, -420)
- -12 × -385 = (-12, -385)
- -14 × -330 = (-14, -330)
- -15 × -308 = (-15, -308)
- -20 × -231 = (-20, -231)
- -21 × -220 = (-21, -220)
- -22 × -210 = (-22, -210)
- -28 × -165 = (-28, -165)
- -30 × -154 = (-30, -154)
- -33 × -140 = (-33, -140)
- -35 × -132 = (-35, -132)
- -42 × -110 = (-42, -110)
- -44 × -105 = (-44, -105)
- -55 × -84 = (-55, -84)
- -60 × -77 = (-60, -77)
- -66 × -70 = (-66, -70)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 4620 Solved Examples
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Example 1: How many factors are there for 4620?
Solution:
The factors of 4620 are too many, therefore if we can find the prime factorization of 4620, 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 4620 = 22 × 31 × 51 × 71 × 111
Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 × 2 × 2 = 48 -
Example 2: Find the LCM and Greatest Common Divisor (GCD) of 4620 and 2616.
Solution:
The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 and factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616.
Therefore, the LCM of 4620 and 2616 is 1007160 and Greatest Common Divisor (GCD) of 4620 and 2616 is 12. -
Example 3: Find if 12, 14, 20, 30, 70, 165, 462 and 3722 are factors of 4620.
Solution:
When we divide 4620 by 3722 it leaves a remainder. Therefore, the number 3722 is not a factor of 4620. All numbers except 3722 are factors of 4620.
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Example 4: Find the product of all the prime factors of 4620.
Solution:
Since, the prime factors of 4620 are 2, 3, 5, 7, 11. Therefore, the product of prime factors = 2 × 3 × 5 × 7 × 11 = 2310.
FAQs on Factors of 4620
What are the Factors of 4620?
The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 and its negative factors are -1, -2, -3, -4, -5, -6, -7, -10, -11, -12, -14, -15, -20, -21, -22, -28, -30, -33, -35, -42, -44, -55, -60, -66, -70, -77, -84, -105, -110, -132, -140, -154, -165, -210, -220, -231, -308, -330, -385, -420, -462, -660, -770, -924, -1155, -1540, -2310, -4620.
What is the Sum of all the Factors of 4620?
Sum of all factors of 4620 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (71 + 1 - 1)/(7 - 1) × (111 + 1 - 1)/(11 - 1) = 16128
What are Prime Factors of 4620?
The prime factors of 4620 are 2, 3, 5, 7, 11.
What is the Greatest Common Factor of 4620 and 2380?
The factors of 4620 and 2380 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 and 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380 respectively.
Common factors of 4620 and 2380 are [1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140].
Hence, the Greatest Common Factor of 4620 and 2380 is 140.
What are the Common Factors of 4620 and 321?
Since, the factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620 and the factors of 321 are 1, 3, 107, 321.
Hence, [1, 3] are the common factors of 4620 and 321.
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