1. Steps to find factors of 370 using Division Method

Example: Find factors of 370

  • Divide 370 by 1: 370 ÷ 1 : Remainder = 0
  • Divide 370 by 2: 370 ÷ 2 : Remainder = 0
  • Divide 370 by 5: 370 ÷ 5 : Remainder = 0
  • Divide 370 by 10: 370 ÷ 10 : Remainder = 0
  • Divide 370 by 37: 370 ÷ 37 : Remainder = 0
  • Divide 370 by 74: 370 ÷ 74 : Remainder = 0
  • Divide 370 by 185: 370 ÷ 185 : Remainder = 0
  • Divide 370 by 370: 370 ÷ 370 : Remainder = 0

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

2. Steps to find factors of 370 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 370 using the division method, follow these steps:

  • Step 1. Start dividing 370 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 370, which is 2. Divide 370 by 2 to obtain the quotient (185).
    370 ÷ 2 = 185
  • Step 3. Repeat step 1 with the obtained quotient (185).
    185 ÷ 5 = 37
    37 ÷ 37 = 1

So, the prime factorization of 370 is, 370 = 2 x 5 x 37.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 370 as shown below:

So, the prime factorization of 370 is, 370 = 2 x 5 x 37.

3. Find factors of 370 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 370 would be the two numbers which, when multiplied, give 370 as the result.

The following table represents the calculation of factors of 370 in pairs:

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 ) , ( -2 , -185 ) , ( -5 , -74 ) and ( -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.

Frequently Asked Questions

  • What are the prime factors of 370?

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

  • What is the sum of all factors of 370?

    The sum of all factors of 370 is 684.

  • What are the pair factors of 370?

    Pair factors of 370 are (1,370), (2,185), (5,74), (10,37).

  • What two numbers make 370?

    Two numbers that make 370 are 2 and 185.

  • What are multiples of 370?

    First five multiples of 370 are 740, 1110, 1480, 1850.

  • Is 370 a perfect square?

    No 370 is not a perfect square.

  • Which is greatest factor of 370?

    The greatest factor of 370 is 185.

  • How do you factors of 370?

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

  • What are five multiples of 370?

    First five multiples of 370 are 740, 1110, 1480, 1850, 2220.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 370?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
Even factors of 370 are 2, 10, 74, 370.
Hence, product of even factors of 370 is; 2 x 10 x 74 x 370 = 547600.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 370? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 37, 74, 185, 370.
Negative factors are -1, -2, -5, -10, -37, -74, -185, -370.

How many factors are there for 370?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 370. Can you help him find them?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
Prime factors of 370 are 2, 5, 37

Joey wants to write all the prime factors of 370 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 370 are 2, 5, 37.
So in exponential form it can be written as 2 x 5 x 37.

What is prime factorization of 370?

Prime factorization of 370 is 2 x 5 x 37 = 2 x 5 x 37.

Can you help Rubel to find out the product of the even factors of 370?

Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370.
Even factors of 370 are 2, 10, 74, 370.
Hence, product of even factors of 370 is; 2 x 10 x 74 x 370 = 547600.