1. Steps to find factors of 909 using Division Method

Example: Find factors of 909

  • Divide 909 by 1: 909 ÷ 1 : Remainder = 0
  • Divide 909 by 3: 909 ÷ 3 : Remainder = 0
  • Divide 909 by 9: 909 ÷ 9 : Remainder = 0
  • Divide 909 by 101: 909 ÷ 101 : Remainder = 0
  • Divide 909 by 303: 909 ÷ 303 : Remainder = 0
  • Divide 909 by 909: 909 ÷ 909 : Remainder = 0

Hence, Factors of 909 are 1, 3, 9, 101, 303, and 909

2. Steps to find factors of 909 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 909 using the division method, follow these steps:

  • Step 1. Start dividing 909 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 909, which is 3. Divide 909 by 3 to obtain the quotient (303).
    909 ÷ 3 = 303
  • Step 3. Repeat step 1 with the obtained quotient (303).
    303 ÷ 3 = 101
    101 ÷ 101 = 1

So, the prime factorization of 909 is, 909 = 3 x 3 x 101.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 909 as shown below:

So, the prime factorization of 909 is, 909 = 3 x 3 x 101.

3. Find factors of 909 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 909 would be the two numbers which, when multiplied, give 909 as the result.

The following table represents the calculation of factors of 909 in pairs:

Factor Pair Pair Factorization
1 and 909 1 x 909 = 909
3 and 303 3 x 303 = 909
9 and 101 9 x 101 = 909

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 909. They are called negative pair factors.

Hence, the negative pairs of 909 would be ( -1 , -909 ) , ( -3 , -303 ) and ( -9 , -101 ) .

How can we define factors?

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

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 3, 9, 101, 303, 909 are exact divisors of 909.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 909 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 909.

Frequently Asked Questions

  • Which is the smallest prime factor of 909?

    Smallest prime factor of 909 is 3.

  • Is 909 a perfect square?

    No 909 is not a perfect square.

  • What are five multiples of 909?

    First five multiples of 909 are 1818, 2727, 3636, 4545, 5454.

  • What is prime factorization of 909?

    Prime factorization of 909 is 3 x 3 x 101.

  • What are factors of 909?

    Factors of 909 are 1, 3, 9, 101, 303, 909.

  • How do you find factors of a negative number? ( eg. -909 )?

    Factors of -909 are -1, -3, -9, -101, -303, -909.

  • Is 909 a whole number?

    Yes 909 is a whole number.

  • Which is greatest factor of 909?

    The greatest factor of 909 is 303.

  • What are the prime factors of 909?

    The factors of 909 are 1, 3, 9, 101, 303, 909.
    Prime factors of 909 are 3, 3, 101.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 909. Can you help her?

Prime factors of 909 are 3, 3, 101.
Hence, the product of prime factors of 303.

Can you help Rubel to find out the product of the even factors of 909?

Factors of 909 are 1, 3, 9, 101, 303, 909.
Even factors of 909 are 0.
Hence, product of even factors of 909 is; 0 = 0.

Joy wants to calculate mean of all the factors of 909. Help him in finding the mean of 909.

Factors of 909 are 1, 3, 9, 101, 303, 909.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 909 is 1 + 3 + 9 + 101 + 303 + 909 = 1326.
Hence, the mean of factors of 909 is 1326 ÷ 6 = 221.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 909? Help her in writing all the factors.

Positive factors are 1, 3, 9, 101, 303, 909.
Negative factors are -1, -3, -9, -101, -303, -909.

How many factors are there for 909?

Factors of 909 are 1, 3, 9, 101, 303, 909.
So there are in total 6 factors.

Joey wants to write all the prime factors of 909 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 909 are 3, 3, 101.
So in exponential form it can be written as 32 x 101.

Kevin has been asked to write 5 factor(s) of 909. Can you predict the answer?

5 factor(s) of 909 are 1, 3, 9, 101, 303.