What Is 10 Of 88
In Maths, factors of 88 are the natural numbers that upshot in zero rest. It means the factor divides the original number, uniformly. Thus, they are also called divisors of 88. Besides, when the multiplication on ii such numbers is equal to 88, then the numbers are called factors.
88 is a double digit number, that is the same if read forrard and backward. Such numbers are besides called palindrome. 88 is too an even composite number that has more two factors. It means 88 is divisible by more than 2 natural numbers.
We tin can easily find the factors of 88 past the division method and prime factorisation method. Allow the states find the factors in pairs of 88 and the prime factors.
How to Find the Factors of 88?
The factors of 88 split or break the number into equal parts. Thus, nosotros demand to separate 88 past such numbers, which results in nix residuum.
88 ÷ 1 = 88 [Remainder = 0]
88 ÷ 2 = 41 [Remainder = 0]
88 ÷ iv = 22 [Balance = 0]
88 ÷ 8 = xi [Remainder = 0]
88 ÷ 11 = viii [Rest = 0]
88 ÷ 22 = 4 [Residuum = 0]
88 ÷ 44 = 2 [Residuum = 0]
88 ÷ 88 = i [Remainder = 0]
Thus, the factors of 88 are 1, 2, iv, 8, 11, 22, 44, and 88.
Pair Factors of 88
The pair factors of 88 are the integers that result in 88, when multiplied together. Therefore, such pairs of factors are:
1 × 88 = 88
2 × 44 = 88
four × 22 = 88
8 × eleven = 88
Therefore, the pair factors are (1,88), (ii,44), (four,22), (eight,eleven).
The pair factors could be considered as negative integers besides, since we tin can get a positive value after multiplying the two negative numbers.
-i × -88 = 88
-2 × -44 = 88
-4 × -22 = 88
-8 × -11 = 88
Therefore, the negative pair factors of 88 are (-1,-88), (-ii,-44), (-four,-22), (-8,-eleven).
Prime Factorisation of 88
Prime number factorisation of 88 results in the prime factors of the original number. These prime number factors are the prime numbers that can easily separate the original number. Let usa list down the prime number numbers from 1 to 88, to find the prime factors.
| 88 is divisible 2 | 88 ÷ 2 = 44 |
| 44 is once again divisible by 2 | 44 ÷ 2 = 22 |
| 22 is an even number and divisible past 2 | 22 ÷ 2 = xi |
| Now, 11 is a prime number and is divisible by itself | xi ÷ 11 = 1 |
Therefore, the prime factors of 88 are 2 and xi.
Prime number factorisation of 88 = 2 × ii × 2 × 11
Exponential Form = 23 × 11
Video Lesson on Prime Factors
Solved Examples
Q.ane: Find the sum of all the factors of 88.
Solution: The factors of 88 are ane, 2, four, 8, 11, 22, 44, and 88 .
Sum = 1 + 2 + 4 + 8 + 11 + 22 + 44 + 88 = 180
Therefore, 180 is the required sum.
Q.2: If at that place are 88 balls to exist divided into four equal parts., how many balls does each role have?
Solution: Given,
Number of balls = 88
We need to separate 88 assurance into 4 equal parts
Number of balls, each part volition have = 88/4 = 22
Hence, 22 is the answer.
Q.3: What is the greatest common factor of 88 and 121?
Answer: Permit us first write the factors of both the numbers.
88 → 1, 2, 4, 8, 11, 22, 44, 88
121 → 1, 11, 121
GCF (88, 121) = 11
Q.4: What are the common factors of 88 and 120?
Answer: The factors of both the numbers are:
88 →1, 2, 4, 8, eleven, 22, 44, 88
120 → 1, ii, 3, 4, 5, 6, 8, 10, 12, fifteen, twenty, 24, thirty, 40, sixty, 120
Therefore, past comparing nosotros get the common factors as: 1, ii, four and viii.
Practice Questions
- What are the even divisors of 88?
- What is the GCF of 86 and 88?
- Is 88 a perfect foursquare?
- What is the highest common factor (HCF) of 88 and 90?
- What should be multiplied to 22 to get 88?
Annals with us and download BYJU'Southward – The Learning App to learn more near factors and prime number factors with the assistance of interactive videos.
Frequently Asked Questions on Factors of 88
How many factors does 88 accept?
There are a full of eight factors of 88. These factors are 1, 2, 4, viii, 11, 22, 44, and 88.
What is the prime factor form of 88?
The prime number factor course of 88 is: 23 x 11.
What are the multiples of 88?
The showtime x multiples of 88 are 88, 176, 264, 352, 440, 528, 616, 704, 792 and 880.
What is the greatest common factor of 88 and 98?
The greatest common factor of 88 and 98 is 2.
88 → i, ii, 4, 8, 11, 22, 44, 88
98 → ane, ii, vii, fourteen, 49, 98
GCF (88, 98) = ii
Is 88 a prime or composite number?
88 is a composite number since information technology has more than two factors.
What Is 10 Of 88,
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