1. Steps to find factors of 207 using Division Method

Example: Find factors of 207

  • Divide 207 by 1: 207 ÷ 1 : Remainder = 0
  • Divide 207 by 3: 207 ÷ 3 : Remainder = 0
  • Divide 207 by 9: 207 ÷ 9 : Remainder = 0
  • Divide 207 by 23: 207 ÷ 23 : Remainder = 0
  • Divide 207 by 69: 207 ÷ 69 : Remainder = 0
  • Divide 207 by 207: 207 ÷ 207 : Remainder = 0

Hence, Factors of 207 are 1, 3, 9, 23, 69, and 207

2. Steps to find factors of 207 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 207 using the division method, follow these steps:

  • Step 1. Start dividing 207 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 207, which is 3. Divide 207 by 3 to obtain the quotient (69).
    207 ÷ 3 = 69
  • Step 3. Repeat step 1 with the obtained quotient (69).
    69 ÷ 3 = 23
    23 ÷ 23 = 1

So, the prime factorization of 207 is, 207 = 3 x 3 x 23.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 207 as shown below:

So, the prime factorization of 207 is, 207 = 3 x 3 x 23.

3. Find factors of 207 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 207 would be the two numbers which, when multiplied, give 207 as the result.

The following table represents the calculation of factors of 207 in pairs:

Factor Pair Pair Factorization
1 and 207 1 x 207 = 207
3 and 69 3 x 69 = 207
9 and 23 9 x 23 = 207

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 207. They are called negative pair factors.

Hence, the negative pairs of 207 would be ( -1 , -207 ) , ( -3 , -69 ) and ( -9 , -23 ) .

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 207 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, 9, 23, 69, 207 are exact divisors of 207.
  • Factors of 207 are 1, 3, 9, 23, 69, 207. Each factor divides 207 without leaving a remainder.

Frequently Asked Questions

  • Which is the smallest prime factor of 207?

    Smallest prime factor of 207 is 3.

  • Is 207 a perfect square?

    No 207 is not a perfect square.

  • What are five multiples of 207?

    First five multiples of 207 are 414, 621, 828, 1035, 1242.

  • What is prime factorization of 207?

    Prime factorization of 207 is 3 x 3 x 23.

  • What are factors of 207?

    Factors of 207 are 1, 3, 9, 23, 69, 207.

  • How do you find factors of a negative number? ( eg. -207 )?

    Factors of -207 are -1, -3, -9, -23, -69, -207.

  • Is 207 a whole number?

    Yes 207 is a whole number.

  • Which is greatest factor of 207?

    The greatest factor of 207 is 69.

  • What are the prime factors of 207?

    The factors of 207 are 1, 3, 9, 23, 69, 207.
    Prime factors of 207 are 3, 3, 23.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 207. Can you help her?

Prime factors of 207 are 3, 3, 23.
Hence, the product of prime factors of 69.

Can you help Rubel to find out the product of the even factors of 207?

Factors of 207 are 1, 3, 9, 23, 69, 207.
Even factors of 207 are 0.
Hence, product of even factors of 207 is; 0 = 0.

Joy wants to calculate mean of all the factors of 207. Help him in finding the mean of 207.

Factors of 207 are 1, 3, 9, 23, 69, 207.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 207 is 1 + 3 + 9 + 23 + 69 + 207 = 312.
Hence, the mean of factors of 207 is 312 ÷ 6 = 52.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 207? Help her in writing all the factors.

Positive factors are 1, 3, 9, 23, 69, 207.
Negative factors are -1, -3, -9, -23, -69, -207.

How many factors are there for 207?

Factors of 207 are 1, 3, 9, 23, 69, 207.
So there are in total 6 factors.

Joey wants to write all the prime factors of 207 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 207 are 3, 3, 23.
So in exponential form it can be written as 32 x 23.

Kevin has been asked to write 5 factor(s) of 207. Can you predict the answer?

5 factor(s) of 207 are 1, 3, 9, 23, 69.