# Factors of 310 in pair

Factors of 310 in pair are (1, 310) , (2, 155) , (5, 62) and (10, 31)

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

 1.   Steps to find factors of 310 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 310 in pair

Factor Pair Pair Factorization
1 and 310 1 x 310 = 310
2 and 155 2 x 155 = 310
5 and 62 5 x 62 = 310
10 and 31 10 x 31 = 310

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 310. They are called negative pair factors.

Hence, the negative pairs of 310 would be ( -1 , -310 ) .

#### Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 310 are 1 , 2 , 5 , 10 , 31 , 62 , 155 , 310. So, factors of 310 in pair are (1,310), (2,155), (5,62), (10,31).

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of Factors

• Each number is a factor of itself. Eg. 310 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, 5, 10, 31, 62, 155, 310 are exact divisors of 310.
• 1 is a factor of every number. Eg. 1 is a factor of 310.
• Every number is a factor of zero (0), since 310 x 0 = 0.

#### Steps to find Factors of 310

• Step 1. Find all the numbers that would divide 310 without leaving any remainder. Starting with the number 1 upto 155 (half of 310). The number 1 and the number itself are always factors of the given number.
310 ÷ 1 : Remainder = 0
310 ÷ 2 : Remainder = 0
310 ÷ 5 : Remainder = 0
310 ÷ 10 : Remainder = 0
310 ÷ 31 : Remainder = 0
310 ÷ 62 : Remainder = 0
310 ÷ 155 : Remainder = 0
310 ÷ 310 : Remainder = 0

Hence, Factors of 310 are 1, 2, 5, 10, 31, 62, 155, and 310

• Is 310 a composite number?

Yes 310 is a composite number.

• Is 310 a prime number?

No 310 is not a prime number.

• Write five multiples of 310.

Five multiples of 310 are 620, 930, 1240, 1550, 1860.

• Write all odd factors of 310?

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310.
Odd factors of 310 are 1 , 5 , 31 , 155.

• What is the mean of all prime factors of 310?

Factors of 310 are 1 , 2 , 5 , 10 , 31 , 62 , 155 , 310. Prime factors of 310 are 2 , 5 , 31. Therefore mean of prime factors of 310 is (2 + 5 + 31) / 3 = 12.67.

#### Examples of Factors

Can you help Rubel in arranging 310 blocks in order to form a rectangle in all possible ways? For arranging 310 blocks in order to form a rectangle in all possible ways we need to find factors of 310 in pair.

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. So, factors of 310 in pair are (1,310), (2,155), (5,62), (10,31).

Ariel has been asked to write all factor pairs of 310 but she is finding it difficult. Can you help her find out?

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. So, factors of 310 in pair are (1,310), (2,155), (5,62), (10,31).

How many total number of factors of 310 in pair are possible?

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. Hence, the factors of 310 in pair are (1,310), (2,155), (5,62), (10,31). Therefore, in total 4 pairs of factors are possible.

Sammy wants to write all the negative factors of 310 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 310 are -1, -2, -5, -10, -31, -62, -155, -310. Hence, factors of 310 in pair are (-1,-310), (-2,-155), (-5,-62), (-10,-31).

Help Deep in writing the positive factors of 310 in pair and negative factor of 310 in pair.

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. Positive factors of 310 in pair are (1,310), (2,155), (5,62), (10,31). Negative factors of 310 in pair are (-1,-310), (-2,-155), (-5,-62), (-10,-31).

Find the product of all factors of 310.

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310. So the product of all factors of 310 would be 1 x 2 x 5 x 10 x 31 x 62 x 155 x 310 = 9235210000.

A student has been assigned the following tasks by the teacher:
- Finding out all positive factors of 310.
- Writing all prime factors of 310.
- Writing all the possible factors of 310 in pair.
Help him in writing all these.

Positive factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310.
Prime factors of 310 are 2, 5, 31.
Factors of 310 in pair are (1,310), (2,155), (5,62), (10,31).

Can you help Sammy list the factors of 310 and also find the factor pairs?

Factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310.
Factors of 310 in pair are (1,310), (2,155), (5,62), (10,31).