what two numbers multiply to 108 and adds to 24
Factors of 108
Factors of 108 are the listing of integers that we can split evenly into 108. There are overall 12 factors of 108 amongst which 108 is the biggest gene and two and 3 are its prime number factors. The Prime number Factorization of 108 is 22 × 3three.
- Factors of 108: 1, 2, 3, iv, 6, ix, 12, 18, 27, 36, 54 and 108
- Negative Factors of 108: -1, -2, -3, -four, -6, -9, -12, -xviii, -27, -36, -54 and -108
- Prime Factors of 108: 2, iii
- Prime number Factorization of 108: 2 × 2 × 3 × 3 × iii = ii2 × three3
- Sum of Factors of 108: 280
What Are the Factors of 108?
How
- The factors of 108 are the numbers which, on dividing 108, get out no remainder.
- 108 is a composite number. It has a full of 12 factors.
- Factors of 108: one, 2, iii , 4, 6, 9, 12, xviii, 27, 36, 54, and 108.
Explore factors using illustrations and interactive examples.
- Factors of 72: The factors of 72 are 1, 2, 3, 4, half dozen, 8, 9, 12, 18, 24, 36, and 72.
- Factors of 180: The factors of 180 are 1 , 2, 3, 4, five, half dozen, 9, 10, 12, fifteen, 18, 20, 30, 36, 45, 60, ninety, and 180.
- Factors of 19: The factors of 19 are i and xix.
- Factors of 110: The factors of 110 are 1, 2, 5, 10, 11, and 110.
- Factors of 196: The factors of 196 are ane, 2, 4, 7, 14, 28, 49, 98, and 196.
How to Calculate the Factors of 108?
Allow us summate the factors of 108 using the division method.
When because numbers that can carve up 108 without remainders, nosotros start with 1, then check 2, 3, 4, five, 6, 7, viii, nine, 2, 3, 4, 5, 6, 7, 8, 9, etc. up to 54 (which is exactly one-half of 108).
| Dividing | Residuum |
|---|---|
| 108 ÷ 1 | Gives rest 0. And then, 1 is a factor. |
| 108 ÷ ii | Gives remainder 0. So, 2 is a gene. |
| 108 ÷ 3 | Gives remainder 0. So, three is a factor. |
| 108 ÷ four | Gives residuum 0. And so, 4 is a factor. |
| 108 ÷ 6 | Gives remainder 0. So, 6 is a gene. |
| 108 ÷ nine | Gives remainder 0. So, 9 is a factor. |
| 108 ÷ 12 | Gives balance 0. So, 12 is a factor. |
| 108 ÷ xviii | Gives residuum 0. So, eighteen is a gene. |
| 108 ÷ 27 | Gives rest 0. And so, 27 is a factor. |
| 108 ÷ 36 | Gives residual 0. And so, 36 is a factor. |
| 108 ÷ 54 | Gives remainder 0. And so, 54 is a cistron. |
| 108 ÷ 108 | Gives remainder 0. So, 108 is a factor. |
Factors of 108 by Prime Factorization
Prime factorization is finding which prime numbers multiply together to brand the original number.
- The first step is to divide the number 108 with the smallest prime gene, say 2. 108 ÷ 2 = 54
- Divide 54 once more by 2. 54 ÷ 2 = 27
- Now if we will divide by 2, we will go a fractional number, and a gene cannot be a fraction or a decimal number. So, proceed with the next prime factor, i.east., iii. 27 ÷ iii = nine
- Divide once more by 3. 9 ÷ three = three
- And once again three ÷ 3 = ane
- Finally, we receive the number ane at the terminate of the division procedure. We cannot proceed further.
- So, the prime number factors of 108 are written as 2 × 2 × three × 3 × 3, where 2 and 3 are prime number numbers.
Finding prime number factors by gene tree
The same sectionalisation process is all-time represented in the form of a factor tree as given below. A factor tree is a special branching diagram where we discover the factors of a number, and then the factors of those numbers, etc. until we cannot factorize them anymore. The ends of a factor tree are all the prime factors of the original number.
Factors of 108 in Pairs
Pair factors of the number 108 are the two whole numbers that multiply to get 108. Pair factors could be either positive or negative merely non a fraction or a decimal number.
- Positive factors of 108: 1, 2, iii, 4, 6, 9, 12, 18, 27, 36, 54, and 108
- Negative factors of 108 -i, -ii, -3 , -4, -6, -nine, -12, -18, -27, -36, -54, and -108
Important Notes:
- Only whole numbers and integers tin exist factors.
- Only blended numbers tin accept more than two factors.
- Every factor of a given number is either less than or equal to the given number.
- The number of factors of a given number is finite.
Factors of 108 Solved Examples
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FAQs on Factors of 108
What are the Factors of 108?
The factors of 108 are 1, two, 3, 4, six, 9, 12, 18, 27, 36, 54, 108 and its negative factors are -1, -2, -iii, -4, -six, -9, -12, -18, -27, -36, -54, -108.
How Many Factors of 108 are also mutual to the Factors of 25?
Since, the factors of 108 are 1, 2, three, 4, 6, nine, 12, 18, 27, 36, 54, 108 and factors of 25 are 1, 5, 25. Hence, 108 and 25 have only one common factor which is 1. Therefore, 108 and 25 are co-prime.
What is the Sum of the Factors of 108?
Sum of all factors of 108 = (2ii + 1 - 1)/(2 - 1) × (33 + ane - i)/(iii - 1) = 280
What is the Greatest Common Gene of 108 and 50?
The factors of 108 and 50 are ane, 2, 3, 4, vi, ix, 12, 18, 27, 36, 54, 108 and 1, two, 5, ten, 25, 50 respectively.
Common factors of 108 and 50 are [1, 2].
Hence, the GCF of 108 and 50 is 2.
What are the Prime number Factors of 108?
The prime factors of 108 are 2, 3.
Source: https://www.cuemath.com/numbers/factors-of-108/
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