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.

## 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 = 74

Therefore, 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 = 74

Therefore, 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 37Exponential kind = 21 x 371
Also check: prime Numbers

## 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

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.

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