# Factors of 370 in pair

Factors of 370 in pair are (1, 370) , (2, 185) , (5, 74) and (10, 37)

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

 1.   Steps to find factors of 370 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 370 in pair

Factor Pair Pair Factorization
1 and 370 1 x 370 = 370
2 and 185 2 x 185 = 370
5 and 74 5 x 74 = 370
10 and 37 10 x 37 = 370

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 370. They are called negative pair factors.

Hence, the negative pairs of 370 would be ( -1 , -370 ) .

#### 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 370 are 1 , 2 , 5 , 10 , 37 , 74 , 185 , 370. So, factors of 370 in pair are (1,370), (2,185), (5,74), (10,37).

#### 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. 370 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, 37, 74, 185, 370 are exact divisors of 370.
• 1 is a factor of every number. Eg. 1 is a factor of 370.
• Every number is a factor of zero (0), since 370 x 0 = 0.

#### Steps to find Factors of 370

• Step 1. Find all the numbers that would divide 370 without leaving any remainder. Starting with the number 1 upto 185 (half of 370). The number 1 and the number itself are always factors of the given number.
370 ÷ 1 : Remainder = 0
370 ÷ 2 : Remainder = 0
370 ÷ 5 : Remainder = 0
370 ÷ 10 : Remainder = 0
370 ÷ 37 : Remainder = 0
370 ÷ 74 : Remainder = 0
370 ÷ 185 : Remainder = 0
370 ÷ 370 : Remainder = 0

Hence, Factors of 370 are 1, 2, 5, 10, 37, 74, 185, and 370

• Is 370 a composite number?

Yes 370 is a composite number.

• Is 370 a prime number?

No 370 is not a prime number.

• Write five multiples of 370.

Five multiples of 370 are 740, 1110, 1480, 1850, 2220.

• Write all odd factors of 370?

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
Odd factors of 370 are 1 , 5 , 37 , 185.

• What is the mean of all prime factors of 370?

Factors of 370 are 1 , 2 , 5 , 10 , 37 , 74 , 185 , 370. Prime factors of 370 are 2 , 5 , 37. Therefore mean of prime factors of 370 is (2 + 5 + 37) / 3 = 14.67.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 370 but she is finding it difficult. Can you help her find out?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. So, factors of 370 in pair are (1,370), (2,185), (5,74), (10,37).

Sammy wants to write all the negative factors of 370 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 370 are -1, -2, -5, -10, -37, -74, -185, -370. Hence, factors of 370 in pair are (-1,-370), (-2,-185), (-5,-74), (-10,-37).

Help Deep in writing the positive factors of 370 in pair and negative factor of 370 in pair.

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. Positive factors of 370 in pair are (1,370), (2,185), (5,74), (10,37). Negative factors of 370 in pair are (-1,-370), (-2,-185), (-5,-74), (-10,-37).

Find the product of all prime factors of 370.

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. Prime factors are 2, 5, 37. So, the product of all prime factors of 370 would be 2 x 5 x 37 = 370.

Can you help Sammy list the factors of 370 and also find the factor pairs?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
Factors of 370 in pair are (1,370), (2,185), (5,74), (10,37).

Help Diji in finding factors of 370 by Prime Factorization method and then sorting factors of 370 in pairs.

Prime factorization of 370 is 2 x 5 x 37. Factors of 370 in pair can be written as (1,370), (2,185), (5,74), (10,37).

Write the smallest prime factor of 370.

Smallest prime factor of 370 is 2.

Write the largest prime factor of 370.

Largest prime factor of 370 is 37.