# Factors of 722 in pair

Factors of 722 in pair are (1, 722) , (2, 361) and (19, 38)

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

 1.   Steps to find factors of 722 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 722 in pair

Factor Pair Pair Factorization
1 and 722 1 x 722 = 722
2 and 361 2 x 361 = 722
19 and 38 19 x 38 = 722

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 722. They are called negative pair factors.

Hence, the negative pairs of 722 would be ( -1 , -722 ) .

#### How do you define factor pairs of a number?

A factor pair of a number can be defined as the combination of two factors in such a way that when multiplied together produce the number itself. Every natural number is a product of atleast one factor pair. Eg- Factors of 722 are 1 , 2 , 19 , 38 , 361 , 722. So, factors of 722 in pair are (1,722), (2,361), (19,38).

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 722 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, 361, 722 are exact divisors of 722.
• 1 is a factor of every number. Eg. 1 is a factor of 722.
• Every number is a factor of zero (0), since 722 x 0 = 0.

#### Steps to find Factors of 722

• Step 1. Find all the numbers that would divide 722 without leaving any remainder. Starting with the number 1 upto 361 (half of 722). The number 1 and the number itself are always factors of the given number.
722 ÷ 1 : Remainder = 0
722 ÷ 2 : Remainder = 0
722 ÷ 19 : Remainder = 0
722 ÷ 38 : Remainder = 0
722 ÷ 361 : Remainder = 0
722 ÷ 722 : Remainder = 0

Hence, Factors of 722 are 1, 2, 19, 38, 361, and 722

• Is 722 a composite number?

Yes 722 is a composite number.

• Is 722 a prime number?

No 722 is not a prime number.

• Is 722 a perfect square?

No 722 is not a perfect square.

• Write five multiples of 722.

Five multiples of 722 are 1444, 2166, 2888, 3610, 4332.

• Write all odd factors of 722?

The factors of 722 are 1, 2, 19, 38, 361, 722.
Odd factors of 722 are 1 , 19 , 361.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 722 but she is finding it difficult. Can you help her find out?

Factors of 722 are 1, 2, 19, 38, 361, 722. So, factors of 722 in pair are (1,722), (2,361), (19,38).

Sammy wants to write all the negative factors of 722 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 722 are -1, -2, -19, -38, -361, -722. Hence, factors of 722 in pair are (-1,-722), (-2,-361), (-19,-38).

Help Deep in writing the positive factors of 722 in pair and negative factor of 722 in pair.

Factors of 722 are 1, 2, 19, 38, 361, 722. Positive factors of 722 in pair are (1,722), (2,361), (19,38). Negative factors of 722 in pair are (-1,-722), (-2,-361), (-19,-38).

Find the product of all prime factors of 722.

Factors of 722 are 1, 2, 19, 38, 361, 722. Prime factors are 2, 19, 19. So, the product of all prime factors of 722 would be 2 x 19 x 19 = 722.

Can you help Sammy list the factors of 722 and also find the factor pairs?

Factors of 722 are 1, 2, 19, 38, 361, 722.
Factors of 722 in pair are (1,722), (2,361), (19,38).

Help Diji in finding factors of 722 by Prime Factorization method and then sorting factors of 722 in pairs.

Prime factorization of 722 is 2 x 19 x 19. Factors of 722 in pair can be written as (1,722), (2,361), (19,38).

Write the smallest prime factor of 722.

Smallest prime factor of 722 is 2.

Write the largest prime factor of 722.

Largest prime factor of 722 is 19.