Factors of 74 room the organic numbers that uniformly division the actual number. 74 is an also number, therefore, the is divisible by 2 (by divisibility rules). Thus, the number 2 divides the original number right into two same parts. The components are also called the divisors the 74.
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If the product that two totality numbers is same to 74, then such numbers space the forced factors. Since, 74 is a composite number, therefore it need to have more than two factors. In this article, us will comment on to discover the factors of 74 in addition to pair factors and also prime factors.
How to find the factors of 74?
74 is divisible through its factors. Therefore, we have the right to divide 74 by different natural numbers, come check by which number, the is fully divisible. Also, we can check by multiply the factors to gain the initial number.
Division Method | Multiplication Method |
74 ÷ 1 = 74 | 1 x 74 = 74 |
74 ÷ 2 = 37 | 2 x 37 = 74 |
74 ÷ 37 = 2 | 37 x 2 = 74 |
74 ÷ 74 = 1 | 74 x 1 = 74 |
Therefore, the determinants of 74 are 1, 2, 37 and 74.
More Factors
Pair factors of 74
When we multiply determinants in pairs and the product is same to 74, climate they are said to be pair factors.
1 × 74 = 742 x 37 = 74Therefore, the pair components of 74 are (1, 74) and also (2, 37).
Multiplication that two an adverse numbers will certainly always an outcome in a hopeful number. Therefore,
-1 × -74 = 74-2 × -37 = 74Therefore, the negative pair determinants are (-1, -74) and also (-2, -37).
Prime Factorisation that 74
To discover the prime components of 74, we have the right to simply usage the prime factorisation method. These prime determinants are additionally the uniform divisors the 74.
According to element factorisation, we division the original number through the list of prime numbers, starting from the the smallest prime number, till we acquire the quotient equal to 1. Hence,
Dividing 74 by smallest prime number | 74 ÷ 2 = 37 |
37 is a element number and also is divisible through itself | 37 ÷ 37 = 1 |
Therefore, the prime components of 74 room 2 and 37.
Prime factorisation the 74 = 2 x 37 Exponential kind = 21 x 371 |
Solved Examples
Q.1: Sarita purchase 74 cookies. She wants to put these cookies equally in 2 jars. How have the right to she perform so?
Solution: variety of cookies = 74
Number that jars = 2
Cookies every jar = 74/2 = 37 cookies
Therefore, she deserve to put 37 cookie in every of the jars.
Q.2: What is the sum of all the components of 74?
Solution: The components of 74 room 1, 2, 37 and 74.
Sum = 1 + 2 + 37 + 74 = 114
Therefore, the compelled sum is 114.
Q.3: What room the common factors the 74 and 84?
Solution: We need to list the determinants of 74 and 84.
74 → 1, 2, 37, 74
84 → 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Therefore, the common factors the 74 and also 84 are 1 and also 2.
Q.4: What is the GCF of 74 and also 92?
Solution: The components of the corresponding numbers are:
74 → 1, 2, 37, 74
92 → 1, 2, 4, 23, 46, 92
Therefore, the GCF of 74 and 92 is 2.
Practice Questions
What is the average of components of 74?How numerous factors space there because that number 74?What is the common factor of 74 and 75?Find the GCF of 74 and 90.See more: What Are The Sources Of Heat Vs Temperature, Heating Energy Sources
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