1. Steps to find factors of 340 using Division Method

Example: Find factors of 340

  • Divide 340 by 1: 340 ÷ 1 : Remainder = 0
  • Divide 340 by 2: 340 ÷ 2 : Remainder = 0
  • Divide 340 by 4: 340 ÷ 4 : Remainder = 0
  • Divide 340 by 5: 340 ÷ 5 : Remainder = 0
  • Divide 340 by 10: 340 ÷ 10 : Remainder = 0
  • Divide 340 by 17: 340 ÷ 17 : Remainder = 0
  • Divide 340 by 20: 340 ÷ 20 : Remainder = 0
  • Divide 340 by 34: 340 ÷ 34 : Remainder = 0
  • Divide 340 by 68: 340 ÷ 68 : Remainder = 0
  • Divide 340 by 85: 340 ÷ 85 : Remainder = 0
  • Divide 340 by 170: 340 ÷ 170 : Remainder = 0
  • Divide 340 by 340: 340 ÷ 340 : Remainder = 0

Hence, Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340

2. Steps to find factors of 340 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 340 using the division method, follow these steps:

  • Step 1. Start dividing 340 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 340, which is 2. Divide 340 by 2 to obtain the quotient (170).
    340 ÷ 2 = 170
  • Step 3. Repeat step 1 with the obtained quotient (170).
    170 ÷ 2 = 85
    85 ÷ 5 = 17
    17 ÷ 17 = 1

So, the prime factorization of 340 is, 340 = 2 x 2 x 5 x 17.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 340 as shown below:

So, the prime factorization of 340 is, 340 = 2 x 2 x 5 x 17.

3. Find factors of 340 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 340 would be the two numbers which, when multiplied, give 340 as the result.

The following table represents the calculation of factors of 340 in pairs:

Factor Pair Pair Factorization
1 and 340 1 x 340 = 340
2 and 170 2 x 170 = 340
4 and 85 4 x 85 = 340
5 and 68 5 x 68 = 340
10 and 34 10 x 34 = 340
17 and 20 17 x 20 = 340

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 340. They are called negative pair factors.

Hence, the negative pairs of 340 would be ( -1 , -340 ) , ( -2 , -170 ) , ( -4 , -85 ) , ( -5 , -68 ) , ( -10 , -34 ) and ( -17 , -20 ) .

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. 340 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 340.
  • Every number is a factor of zero (0), since 340 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, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 are exact divisors of 340.
  • Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. Each factor divides 340 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340 are all less than or equal to 340.

Frequently Asked Questions

  • Which is the smallest prime factor of 340?

    The smallest prime factor of 340 is 2.

  • Is 340 a whole number?

    Yes 340 is a whole number.

  • What are the prime factors of 340?

    The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
    Prime factors of 340 are 2, 2, 5, 17.

  • What two numbers make 340?

    Two numbers that make 340 are 2 and 170.

  • What are multiples of 340?

    First five multiples of 340 are 680, 1020, 1360, 1700.

  • What is the sum of all factors of 340?

    The sum of all factors of 340 is 756.

  • What are five multiples of 340?

    First five multiples of 340 are 680, 1020, 1360, 1700, 2040.

  • Is 340 a perfect square?

    No 340 is not a perfect square.

  • What is the greatest prime factors of 340?

    The greatest prime factor of 340 is 17.

Examples of Factors

How many factors are there for 340?

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 340. Can you predict the answer?

11 factor(s) of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170.

Sammy is puzzled while calculating the prime factors of 340. Can you help him find them?

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Prime factors of 340 are 2, 2, 5, 17

What is prime factorization of 340?

Prime factorization of 340 is 2 x 2 x 5 x 17 = 22 x 5 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 340. Can you help her?

Prime factors of 340 are 2, 2, 5, 17.
Hence, the product of prime factors of 170.

Can you help Rubel to find out the product of the even factors of 340?

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
Even factors of 340 are 2, 4, 10, 20, 34, 68, 170, 340.
Hence, product of even factors of 340 is; 2 x 4 x 10 x 20 x 34 x 68 x 170 x 340 = 213813760000.

Joy wants to calculate mean of all the factors of 340. Help him in finding the mean of 340.

Factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 340 is 1 + 2 + 4 + 5 + 10 + 17 + 20 + 34 + 68 + 85 + 170 + 340 = 756.
Hence, the mean of factors of 340 is 756 ÷ 12 = 63.00.