# Factors of 507 in pair

Factors of 507 in pair are (1, 507) , (3, 169) and (13, 39)

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

 1.   Steps to find factors of 507 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 507 in pair

Factor Pair Pair Factorization
1 and 507 1 x 507 = 507
3 and 169 3 x 169 = 507
13 and 39 13 x 39 = 507

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 507. They are called negative pair factors.

Hence, the negative pairs of 507 would be ( -1 , -507 ) .

#### 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 507 are 1 , 3 , 13 , 39 , 169 , 507. So, factors of 507 in pair are (1,507), (3,169), (13,39).

#### 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 507 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, 13, 39, 169, 507 are exact divisors of 507.
• Factors of 507 are 1, 3, 13, 39, 169, 507. Each factor divides 507 without leaving a remainder.

#### Steps to find Factors of 507

• Step 1. Find all the numbers that would divide 507 without leaving any remainder. Starting with the number 1 upto 253 (half of 507). The number 1 and the number itself are always factors of the given number.
507 ÷ 1 : Remainder = 0
507 ÷ 3 : Remainder = 0
507 ÷ 13 : Remainder = 0
507 ÷ 39 : Remainder = 0
507 ÷ 169 : Remainder = 0
507 ÷ 507 : Remainder = 0

Hence, Factors of 507 are 1, 3, 13, 39, 169, and 507

• Is 507 a composite number?

Yes 507 is a composite number.

• Is 507 a perfect square?

No 507 is not a perfect square.

• Write all odd factors of 507?

The factors of 507 are 1, 3, 13, 39, 169, 507.
Odd factors of 507 are 1 , 3 , 13 , 39 , 169 , 507.

• What is the mean of all prime factors of 507?

Factors of 507 are 1 , 3 , 13 , 39 , 169 , 507. Prime factors of 507 are 3 , 13 , 13. Therefore mean of prime factors of 507 is (3 + 13 + 13) / 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

Can you help Rubel in arranging 507 blocks in order to form a rectangle in all possible ways? For arranging 507 blocks in order to form a rectangle in all possible ways we need to find factors of 507 in pair.

Factors of 507 are 1, 3, 13, 39, 169, 507. So, factors of 507 in pair are (1,507), (3,169), (13,39).

Ariel has been asked to write all factor pairs of 507 but she is finding it difficult. Can you help her find out?

Factors of 507 are 1, 3, 13, 39, 169, 507. So, factors of 507 in pair are (1,507), (3,169), (13,39).

How many total number of factors of 507 in pair are possible?

Factors of 507 are 1, 3, 13, 39, 169, 507. Hence, the factors of 507 in pair are (1,507), (3,169), (13,39). Therefore, in total 3 pairs of factors are possible.

Sammy wants to write all the negative factors of 507 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 507 are -1, -3, -13, -39, -169, -507. Hence, factors of 507 in pair are (-1,-507), (-3,-169), (-13,-39).

Help Deep in writing the positive factors of 507 in pair and negative factor of 507 in pair.

Factors of 507 are 1, 3, 13, 39, 169, 507. Positive factors of 507 in pair are (1,507), (3,169), (13,39). Negative factors of 507 in pair are (-1,-507), (-3,-169), (-13,-39).

Find the product of all factors of 507.

Factors of 507 are 1, 3, 13, 39, 169, 507. So the product of all factors of 507 would be 1 x 3 x 13 x 39 x 169 x 507 = 130323843.

Find the product of all prime factors of 507.

Factors of 507 are 1, 3, 13, 39, 169, 507. Prime factors are 3, 13, 13. So, the product of all prime factors of 507 would be 3 x 13 x 13 = 507.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 507.
- Writing all prime factors of 507.
- Writing all the possible factors of 507 in pair.
Help him in writing all these.

Positive factors of 507 are 1, 3, 13, 39, 169, 507.
Prime factors of 507 are 3, 13, 13.
Factors of 507 in pair are (1,507), (3,169), (13,39).