# Factors of 38 in pair

Factors of 38 in pair are (1, 38) , (2, 19)

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

 1.   Steps to find factors of 38 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 38 in pair

Factor Pair Pair Factorization
1 and 38 1 x 38 = 38
2 and 19 2 x 19 = 38

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 38. They are called negative pair factors.

Hence, the negative pairs of 38 would be ( -1 , -38 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 38 are 1 , 2 , 19 , 38. So, factors of 38 in pair are (1,38), (2,19).

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 38 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, 19, 38 are exact divisors of 38.
• 1 is a factor of every number. Eg. 1 is a factor of 38.
• Every number is a factor of zero (0), since 38 x 0 = 0.

#### Steps to find Factors of 38

• Step 1. Find all the numbers that would divide 38 without leaving any remainder. Starting with the number 1 upto 19 (half of 38). The number 1 and the number itself are always factors of the given number.
38 ÷ 1 : Remainder = 0
38 ÷ 2 : Remainder = 0
38 ÷ 19 : Remainder = 0
38 ÷ 38 : Remainder = 0

Hence, Factors of 38 are 1, 2, 19, and 38

• Is 38 a composite number?

Yes 38 is a composite number.

• Is 38 a prime number?

No 38 is not a prime number.

• Is 38 a perfect square?

No 38 is not a perfect square.

• Write five multiples of 38.

Five multiples of 38 are 76, 114, 152, 190, 228.

• Write all odd factors of 38?

The factors of 38 are 1, 2, 19, 38.
Odd factors of 38 are 1 , 19.

#### Examples of Factors

Can you help Rubel in arranging 38 blocks in order to form a rectangle in all possible ways? For arranging 38 blocks in order to form a rectangle in all possible ways we need to find factors of 38 in pair.

Factors of 38 are 1, 2, 19, 38. So, factors of 38 in pair are (1,38), (2,19).

Ariel has been asked to write all factor pairs of 38 but she is finding it difficult. Can you help her find out?

Factors of 38 are 1, 2, 19, 38. So, factors of 38 in pair are (1,38), (2,19).

How many total number of factors of 38 in pair are possible?

Factors of 38 are 1, 2, 19, 38. Hence, the factors of 38 in pair are (1,38), (2,19). Therefore, in total 2 pairs of factors are possible.

Sammy wants to write all the negative factors of 38 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 38 are -1, -2, -19, -38. Hence, factors of 38 in pair are (-1,-38), (-2,-19).

Help Deep in writing the positive factors of 38 in pair and negative factor of 38 in pair.

Factors of 38 are 1, 2, 19, 38. Positive factors of 38 in pair are (1,38), (2,19). Negative factors of 38 in pair are (-1,-38), (-2,-19).

Find the product of all factors of 38.

Factors of 38 are 1, 2, 19, 38. So the product of all factors of 38 would be 1 x 2 x 19 x 38 = 1444.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 38.
- Writing all prime factors of 38.
- Writing all the possible factors of 38 in pair.
Help him in writing all these.

Positive factors of 38 are 1, 2, 19, 38.
Prime factors of 38 are 2, 19.
Factors of 38 in pair are (1,38), (2,19).

Can you help Sammy list the factors of 38 and also find the factor pairs?

Factors of 38 are 1, 2, 19, 38.
Factors of 38 in pair are (1,38), (2,19).