In Mathematics, factors of 78 space the natural numbers that have the right to divide the original number, uniformly. Alternatively, once the product of two organic numbers is same to 78, then the 2 numbers space the required factors.
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Factors the 78 rest the original number into equal parts. If we divide 78 by any of the factors, then the result quotient is a whole number and also remainder is zero. Because 78 is an also number, thus it is likewise divisible through 2. Hence, 78 is a composite number and has more than two components that encompass 1, 2 and 79. To find an ext factors, allow us read this article.
How to find the components of 78?
Factors the 78 division the initial number, exactly. We understand all the numbers space the determinants of chin and also 1 is the variable of every the numbers. Therefore, the two definite determinants of 78 space 1 and also 78. Now, let us discover the various other factors.
78 ÷ 1 = 78
78 ÷ 2 = 39
78 ÷ 3 = 26
78 ÷ 6 = 13
78 ÷ 13 = 6
78 ÷ 26 = 3
78 ÷ 39 = 2
78 ÷ 78 = 1
Therefore, the determinants of 78 space 1, 2, 3, 6, 13, 26, 39, and also 78.
More Factors |
Pair determinants of 78
When two integers are multiplied and the product is 78, climate the pair the integers are dubbed pair factors of 78.
1 × 78 = 78
2 × 39 = 78
3 × 26 = 78
6 × 13 = 78
Therefore, the pair components are (1, 78), (2, 39), (3, 26), and (6, 13).
Similarly, we deserve to write the an unfavorable pair determinants that will an outcome in the initial number, after ~ multiplication.
-1 × -78 = 78
-2 × -39 = 78
-3 × -26 = 78
-6 × -13 = 78
Therefore, the an unfavorable pair components are (-1, -78), (-2, -39), (-3, -26), and also (-6, -13).
Prime Factorisation that 78
Prime factorisation that 78 represents the multiplication of element numbers that will be same to the initial number. We need to examine the element numbers, 78 is divisible by, to uncover the prime components of 78.
List of element numbers (Between 1 and also 78) :
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73 |
Step 1: 78 is an also number. Thus, that is divisible by 2.
78/2 = 39
Step 2: because 39 is divisible through 3, thus;
39/3 = 13
Step 3: now 13 is itself a prime number. Therefore,
13/13 = 1
Now 1 is not divisible by any type of prime number. Thus, the required prime components are 2, 3 and also 13.
Prime factorisation that 78 = 2 x 3 x 13 Exponential form = 21 x 31 x 131 |
Solved Examples
Q.1: What is the worth of 78 split by 13?
Solution: 78 separated by 13 = 78 ÷ 13 = 6
Q.2: uncover the amount of all the components of 78.
Solution: The factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78 .
Sum = 1 + 2 + 3 + 6 + 13 + 26 + 39 + 78 = 168
Therefore, the amount of components of 78 is 168.
Q.3: discover the greatest typical factor the 70 and 78.
Answer: permit us very first write the components of both the numbers.
70 → 1, 2, 5, 7, 10, 14, 35, 70
78 → 1, 2, 3, 6, 13, 26, 39, 78
Therefore, greatest common factor (GCF) that 70 and also 78 = 2
Practice Questions
1. What is the typical of factors of 78?
2. Arrange the factors of 78 in diminish order.
3. Find if 6 is a variable of 78.
4. Calculation the GCF the 70, 72, 76 and also 78.
5. Give any kind of two pair factors of 78.
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