# Factors of 494 in pair

Factors of 494 in pair are (1, 494) , (2, 247) , (13, 38) and (19, 26)

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

 1.   Steps to find factors of 494 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 494 in pair

Factor Pair Pair Factorization
1 and 494 1 x 494 = 494
2 and 247 2 x 247 = 494
13 and 38 13 x 38 = 494
19 and 26 19 x 26 = 494

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 494. They are called negative pair factors.

Hence, the negative pairs of 494 would be ( -1 , -494 ) .

#### 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 494 are 1 , 2 , 13 , 19 , 26 , 38 , 247 , 494. So, factors of 494 in pair are (1,494), (2,247), (13,38), (19,26).

#### 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. 494 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, 13, 19, 26, 38, 247, 494 are exact divisors of 494.
• 1 is a factor of every number. Eg. 1 is a factor of 494.
• Every number is a factor of zero (0), since 494 x 0 = 0.

#### Steps to find Factors of 494

• Step 1. Find all the numbers that would divide 494 without leaving any remainder. Starting with the number 1 upto 247 (half of 494). The number 1 and the number itself are always factors of the given number.
494 ÷ 1 : Remainder = 0
494 ÷ 2 : Remainder = 0
494 ÷ 13 : Remainder = 0
494 ÷ 19 : Remainder = 0
494 ÷ 26 : Remainder = 0
494 ÷ 38 : Remainder = 0
494 ÷ 247 : Remainder = 0
494 ÷ 494 : Remainder = 0

Hence, Factors of 494 are 1, 2, 13, 19, 26, 38, 247, and 494

• Is 494 a composite number?

Yes 494 is a composite number.

• Is 494 a prime number?

No 494 is not a prime number.

• Is 494 a perfect square?

No 494 is not a perfect square.

• Write five multiples of 494.

Five multiples of 494 are 988, 1482, 1976, 2470, 2964.

• Write all odd factors of 494?

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494.
Odd factors of 494 are 1 , 13 , 19 , 247.

#### Examples of Factors

Can you help Rubel in arranging 494 blocks in order to form a rectangle in all possible ways? For arranging 494 blocks in order to form a rectangle in all possible ways we need to find factors of 494 in pair.

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. So, factors of 494 in pair are (1,494), (2,247), (13,38), (19,26).

Ariel has been asked to write all factor pairs of 494 but she is finding it difficult. Can you help her find out?

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. So, factors of 494 in pair are (1,494), (2,247), (13,38), (19,26).

How many total number of factors of 494 in pair are possible?

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. Hence, the factors of 494 in pair are (1,494), (2,247), (13,38), (19,26). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 494 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 494 are -1, -2, -13, -19, -26, -38, -247, -494. Hence, factors of 494 in pair are (-1,-494), (-2,-247), (-13,-38), (-19,-26).

Help Deep in writing the positive factors of 494 in pair and negative factor of 494 in pair.

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. Positive factors of 494 in pair are (1,494), (2,247), (13,38), (19,26). Negative factors of 494 in pair are (-1,-494), (-2,-247), (-13,-38), (-19,-26).

Find the product of all factors of 494.

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. So the product of all factors of 494 would be 1 x 2 x 13 x 19 x 26 x 38 x 247 x 494 = 59553569296.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 494.
- Writing all prime factors of 494.
- Writing all the possible factors of 494 in pair.
Help him in writing all these.

Positive factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494.
Prime factors of 494 are 2, 13, 19.
Factors of 494 in pair are (1,494), (2,247), (13,38), (19,26).

Can you help Sammy list the factors of 494 and also find the factor pairs?

Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494.
Factors of 494 in pair are (1,494), (2,247), (13,38), (19,26).