# Factors of 2007 in pair

Factors of 2007 in pair are (1, 2007) , (3, 669) and (9, 223)

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

 1.   Steps to find factors of 2007 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 2007 in pair

Factor Pair Pair Factorization
1 and 2007 1 x 2007 = 2007
3 and 669 3 x 669 = 2007
9 and 223 9 x 223 = 2007

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 2007. They are called negative pair factors.

Hence, the negative pairs of 2007 would be ( -1 , -2007 ) .

#### 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 2007 are 1 , 3 , 9 , 223 , 669 , 2007. So, factors of 2007 in pair are (1,2007), (3,669), (9,223).

#### 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

• Every number is a factor of zero (0), since 2007 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, 9, 223, 669, 2007 are exact divisors of 2007.
• Factors of 2007 are 1, 3, 9, 223, 669, 2007. Each factor divides 2007 without leaving a remainder.

#### Steps to find Factors of 2007

• Step 1. Find all the numbers that would divide 2007 without leaving any remainder. Starting with the number 1 upto 1003 (half of 2007). The number 1 and the number itself are always factors of the given number.
2007 ÷ 1 : Remainder = 0
2007 ÷ 3 : Remainder = 0
2007 ÷ 9 : Remainder = 0
2007 ÷ 223 : Remainder = 0
2007 ÷ 669 : Remainder = 0
2007 ÷ 2007 : Remainder = 0

Hence, Factors of 2007 are 1, 3, 9, 223, 669, and 2007

• Is 2007 a composite number?

Yes 2007 is a composite number.

• Is 2007 a perfect square?

No 2007 is not a perfect square.

• Write all odd factors of 2007?

The factors of 2007 are 1, 3, 9, 223, 669, 2007.
Odd factors of 2007 are 1 , 3 , 9 , 223 , 669 , 2007.

• What is the mean of all prime factors of 2007?

Factors of 2007 are 1 , 3 , 9 , 223 , 669 , 2007. Prime factors of 2007 are 3 , 3 , 223. Therefore mean of prime factors of 2007 is (3 + 3 + 223) / 3 = 76.33.

• 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 2007 in pair are possible?

Factors of 2007 are 1, 3, 9, 223, 669, 2007. Hence, the factors of 2007 in pair are (1,2007), (3,669), (9,223). Therefore, in total 3 pairs of factors are possible.

Help Deep in writing the positive factors of 2007 in pair and negative factor of 2007 in pair.

Factors of 2007 are 1, 3, 9, 223, 669, 2007. Positive factors of 2007 in pair are (1,2007), (3,669), (9,223). Negative factors of 2007 in pair are (-1,-2007), (-3,-669), (-9,-223).

Find the product of all factors of 2007.

Factors of 2007 are 1, 3, 9, 223, 669, 2007. So the product of all factors of 2007 would be 1 x 3 x 9 x 223 x 669 x 2007 = 8084294343.

Find the product of all prime factors of 2007.

Factors of 2007 are 1, 3, 9, 223, 669, 2007. Prime factors are 3, 3, 223. So, the product of all prime factors of 2007 would be 3 x 3 x 223 = 2007.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 2007.
- Writing all prime factors of 2007.
- Writing all the possible factors of 2007 in pair.
Help him in writing all these.

Positive factors of 2007 are 1, 3, 9, 223, 669, 2007.
Prime factors of 2007 are 3, 3, 223.
Factors of 2007 in pair are (1,2007), (3,669), (9,223).

What are the pair factors of 2007?

Factors of 2007 are 1, 3, 9, 223, 669, 2007. Hence, the factors of 2007 in pair are (1,2007), (3,669), (9,223).

Can you help Sammy list the factors of 2007 and also find the factor pairs?

Factors of 2007 are 1, 3, 9, 223, 669, 2007.
Factors of 2007 in pair are (1,2007), (3,669), (9,223).

Sammy has 2007 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 2007 blocks in all possible ways to form a rectangle, we need to calculate factors of 2007 in pair. Therefore, factors of 2007 in pair are (1,2007), (3,669), (9,223)