# Factors of 399 in pair

Factors of 399 in pair are (1, 399) , (3, 133) , (7, 57) and (19, 21)

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

 1.   Steps to find factors of 399 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 399 in pair

Factor Pair Pair Factorization
1 and 399 1 x 399 = 399
3 and 133 3 x 133 = 399
7 and 57 7 x 57 = 399
19 and 21 19 x 21 = 399

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 399. They are called negative pair factors.

Hence, the negative pairs of 399 would be ( -1 , -399 ) .

#### 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 399 are 1 , 3 , 7 , 19 , 21 , 57 , 133 , 399. So, factors of 399 in pair are (1,399), (3,133), (7,57), (19,21).

#### 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

• Every number is a factor of zero (0), since 399 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, 3, 7, 19, 21, 57, 133, 399 are exact divisors of 399.
• Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. Each factor divides 399 without leaving a remainder.

#### Steps to find Factors of 399

• Step 1. Find all the numbers that would divide 399 without leaving any remainder. Starting with the number 1 upto 199 (half of 399). The number 1 and the number itself are always factors of the given number.
399 ÷ 1 : Remainder = 0
399 ÷ 3 : Remainder = 0
399 ÷ 7 : Remainder = 0
399 ÷ 19 : Remainder = 0
399 ÷ 21 : Remainder = 0
399 ÷ 57 : Remainder = 0
399 ÷ 133 : Remainder = 0
399 ÷ 399 : Remainder = 0

Hence, Factors of 399 are 1, 3, 7, 19, 21, 57, 133, and 399

• Is 399 a composite number?

Yes 399 is a composite number.

• Is 399 a perfect square?

No 399 is not a perfect square.

• Write all odd factors of 399?

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399.
Odd factors of 399 are 1 , 3 , 7 , 19 , 21 , 57 , 133 , 399.

• What is the mean of all prime factors of 399?

Factors of 399 are 1 , 3 , 7 , 19 , 21 , 57 , 133 , 399. Prime factors of 399 are 3 , 7 , 19. Therefore mean of prime factors of 399 is (3 + 7 + 19) / 3 = 9.67.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

#### Examples of Factors

How many total number of factors of 399 in pair are possible?

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. Hence, the factors of 399 in pair are (1,399), (3,133), (7,57), (19,21). Therefore, in total 4 pairs of factors are possible.

Help Deep in writing the positive factors of 399 in pair and negative factor of 399 in pair.

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. Positive factors of 399 in pair are (1,399), (3,133), (7,57), (19,21). Negative factors of 399 in pair are (-1,-399), (-3,-133), (-7,-57), (-19,-21).

Find the product of all factors of 399.

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. So the product of all factors of 399 would be 1 x 3 x 7 x 19 x 21 x 57 x 133 x 399 = 25344958401.

Find the product of all prime factors of 399.

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. Prime factors are 3, 7, 19. So, the product of all prime factors of 399 would be 3 x 7 x 19 = 399.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 399.
- Writing all prime factors of 399.
- Writing all the possible factors of 399 in pair.
Help him in writing all these.

Positive factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399.
Prime factors of 399 are 3, 7, 19.
Factors of 399 in pair are (1,399), (3,133), (7,57), (19,21).

What are the pair factors of 399?

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399. Hence, the factors of 399 in pair are (1,399), (3,133), (7,57), (19,21).

Can you help Sammy list the factors of 399 and also find the factor pairs?

Factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399.
Factors of 399 in pair are (1,399), (3,133), (7,57), (19,21).

Sammy has 399 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 399 blocks in all possible ways to form a rectangle, we need to calculate factors of 399 in pair. Therefore, factors of 399 in pair are (1,399), (3,133), (7,57), (19,21)