# Factors of 404 in pair

Factors of 404 in pair are (1, 404) , (2, 202) and (4, 101)

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

 1.   Steps to find factors of 404 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 404 in pair

Factor Pair Pair Factorization
1 and 404 1 x 404 = 404
2 and 202 2 x 202 = 404
4 and 101 4 x 101 = 404

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 404. They are called negative pair factors.

Hence, the negative pairs of 404 would be ( -1 , -404 ) .

#### 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 404 are 1 , 2 , 4 , 101 , 202 , 404. So, factors of 404 in pair are (1,404), (2,202), (4,101).

#### 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. 404 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 404.
• Every number is a factor of zero (0), since 404 x 0 = 0.
• 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, 4, 101, 202, 404 are exact divisors of 404.
• Factors of 404 are 1, 2, 4, 101, 202, 404. Each factor divides 404 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 101, 202, 404 are all less than or equal to 404.

#### Steps to find Factors of 404

• Step 1. Find all the numbers that would divide 404 without leaving any remainder. Starting with the number 1 upto 202 (half of 404). The number 1 and the number itself are always factors of the given number.
404 ÷ 1 : Remainder = 0
404 ÷ 2 : Remainder = 0
404 ÷ 4 : Remainder = 0
404 ÷ 101 : Remainder = 0
404 ÷ 202 : Remainder = 0
404 ÷ 404 : Remainder = 0

Hence, Factors of 404 are 1, 2, 4, 101, 202, and 404

• Is 404 a composite number?

Yes 404 is a composite number.

• Is 404 a prime number?

No 404 is not a prime number.

• Is 404 a perfect square?

No 404 is not a perfect square.

• Write five multiples of 404.

Five multiples of 404 are 808, 1212, 1616, 2020, 2424.

• Write all odd factors of 404?

The factors of 404 are 1, 2, 4, 101, 202, 404.
Odd factors of 404 are 1 , 101.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 404.
- Writing all prime factors of 404.
- Writing all the possible factors of 404 in pair.
Help him in writing all these.

Positive factors of 404 are 1, 2, 4, 101, 202, 404.
Prime factors of 404 are 2, 2, 101.
Factors of 404 in pair are (1,404), (2,202), (4,101).

What are the pair factors of 404?

Factors of 404 are 1, 2, 4, 101, 202, 404. Hence, the factors of 404 in pair are (1,404), (2,202), (4,101).

Can you help Sammy list the factors of 404 and also find the factor pairs?

Factors of 404 are 1, 2, 4, 101, 202, 404.
Factors of 404 in pair are (1,404), (2,202), (4,101).

The area of a rectangle is 404 square meters. List all the possible combinations possible for length and breadth in which a designer can design out all the combinations.

For the possible combinations possible for length and breadth in which a designer can design out all the rectangles can be calculated by calculating the factors of 404 in pair. So, the possible combinations (1,404), (2,202), (4,101).

Help Diji in finding factors of 404 by Prime Factorization method and then sorting factors of 404 in pairs.

Prime factorization of 404 is 2 x 2 x 101. Factors of 404 in pair can be written as (1,404), (2,202), (4,101).

Write the smallest prime factor of 404.

Smallest prime factor of 404 is 2.

Write the largest prime factor of 404.

Largest prime factor of 404 is 101.

Diji wants to write all the negative factors of 404. Can you help Diji in doing the same?

Negative factors of 404 are -1, -2, -4, -101, -202, -404.