# Factors of 476 in pair

Factors of 476 in pair are (1, 476) , (2, 238) , (4, 119) , (7, 68) , (14, 34) and (17, 28)

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

 1.   Steps to find factors of 476 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 476 in pair

Factor Pair Pair Factorization
1 and 476 1 x 476 = 476
2 and 238 2 x 238 = 476
4 and 119 4 x 119 = 476
7 and 68 7 x 68 = 476
14 and 34 14 x 34 = 476
17 and 28 17 x 28 = 476

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 476. They are called negative pair factors.

Hence, the negative pairs of 476 would be ( -1 , -476 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 476 are 1 , 2 , 4 , 7 , 14 , 17 , 28 , 34 , 68 , 119 , 238 , 476. So, factors of 476 in pair are (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 476 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 476.
• Every number is a factor of zero (0), since 476 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, 7, 14, 17, 28, 34, 68, 119, 238, 476 are exact divisors of 476.
• Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. Each factor divides 476 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476 are all less than or equal to 476.

#### Steps to find Factors of 476

• Step 1. Find all the numbers that would divide 476 without leaving any remainder. Starting with the number 1 upto 238 (half of 476). The number 1 and the number itself are always factors of the given number.
476 ÷ 1 : Remainder = 0
476 ÷ 2 : Remainder = 0
476 ÷ 4 : Remainder = 0
476 ÷ 7 : Remainder = 0
476 ÷ 14 : Remainder = 0
476 ÷ 17 : Remainder = 0
476 ÷ 28 : Remainder = 0
476 ÷ 34 : Remainder = 0
476 ÷ 68 : Remainder = 0
476 ÷ 119 : Remainder = 0
476 ÷ 238 : Remainder = 0
476 ÷ 476 : Remainder = 0

Hence, Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, and 476

• Is 476 a composite number?

Yes 476 is a composite number.

• Is 476 a prime number?

No 476 is not a prime number.

• Is 476 a perfect square?

No 476 is not a perfect square.

• Write five multiples of 476.

Five multiples of 476 are 952, 1428, 1904, 2380, 2856.

• Write all odd factors of 476?

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
Odd factors of 476 are 1 , 7 , 17 , 119.

#### Examples of Factors

Rustom has been assigned the following tasks by the teacher:
- Finding out all positive factors of 476.
- Writing all prime factors of 476.
- Writing all the possible factors of 476 in pair.
Help him in writing all these.

Positive factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
Prime factors of 476 are 2, 2, 7, 17.
Factors of 476 in pair are (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

What are the pair factors of 476?

Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. Hence, the factors of 476 in pair are (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

Can you help Sammy list the factors of 476 and also find the factor pairs?

Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
Factors of 476 in pair are (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

The area of a rectangle is 476 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 476 in pair. So, the possible combinations (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

Help Diji in finding factors of 476 by Prime Factorization method and then sorting factors of 476 in pairs.

Prime factorization of 476 is 2 x 2 x 7 x 17. Factors of 476 in pair can be written as (1,476), (2,238), (4,119), (7,68), (14,34), (17,28).

Write the smallest prime factor of 476.

Smallest prime factor of 476 is 2.

Write the largest prime factor of 476.

Largest prime factor of 476 is 17.

Diji wants to write all the negative factors of 476. Can you help Diji in doing the same?

Negative factors of 476 are -1, -2, -4, -7, -14, -17, -28, -34, -68, -119, -238, -476.