# Factors of 74 in pair

Factors of 74 in pair are (1, 74) , (2, 37)

#### How to find factors of a number in pair

 1.   Steps to find factors of 74 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 74 in pair

Factor Pair Pair Factorization
1 and 74 1 x 74 = 74
2 and 37 2 x 37 = 74

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 74. They are called negative pair factors.

Hence, the negative pairs of 74 would be ( -1 , -74 ) .

#### What does factor pairs of a number mean?

Factor pairs are those factors in pair that can give original number when multiplied. Every natural number is a product of atleast one factor pair. Eg- Factors of 74 are 1 , 2 , 37 , 74. So, factors of 74 in pair are (1,74), (2,37).

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 74 is a factor of itself.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 37, 74 are exact divisors of 74.
• 1 is a factor of every number. Eg. 1 is a factor of 74.
• Every number is a factor of zero (0), since 74 x 0 = 0.

#### Steps to find Factors of 74

• Step 1. Find all the numbers that would divide 74 without leaving any remainder. Starting with the number 1 upto 37 (half of 74). The number 1 and the number itself are always factors of the given number.
74 ÷ 1 : Remainder = 0
74 ÷ 2 : Remainder = 0
74 ÷ 37 : Remainder = 0
74 ÷ 74 : Remainder = 0

Hence, Factors of 74 are 1, 2, 37, and 74

• Is 74 a composite number?

Yes 74 is a composite number.

• Is 74 a prime number?

No 74 is not a prime number.

• Is 74 a perfect square?

No 74 is not a perfect square.

• Write five multiples of 74.

Five multiples of 74 are 148, 222, 296, 370, 444.

• Write all odd factors of 74?

The factors of 74 are 1, 2, 37, 74.
Odd factors of 74 are 1 , 37.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 74 but she is finding it difficult. Can you help her find out?

Factors of 74 are 1, 2, 37, 74. So, factors of 74 in pair are (1,74), (2,37).

Sammy wants to write all the negative factors of 74 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 74 are -1, -2, -37, -74. Hence, factors of 74 in pair are (-1,-74), (-2,-37).

Help Deep in writing the positive factors of 74 in pair and negative factor of 74 in pair.

Factors of 74 are 1, 2, 37, 74. Positive factors of 74 in pair are (1,74), (2,37). Negative factors of 74 in pair are (-1,-74), (-2,-37).

Find the product of all prime factors of 74.

Factors of 74 are 1, 2, 37, 74. Prime factors are 2, 37. So, the product of all prime factors of 74 would be 2 x 37 = 74.

Can you help Sammy list the factors of 74 and also find the factor pairs?

Factors of 74 are 1, 2, 37, 74.
Factors of 74 in pair are (1,74), (2,37).

Help Diji in finding factors of 74 by Prime Factorization method and then sorting factors of 74 in pairs.

Prime factorization of 74 is 2 x 37. Factors of 74 in pair can be written as (1,74), (2,37).

Write the smallest prime factor of 74.

Smallest prime factor of 74 is 2.

Write the largest prime factor of 74.

Largest prime factor of 74 is 37.