1. Steps to find factors of 2907 using Division Method

Example: Find factors of 2907

  • Divide 2907 by 1: 2907 ÷ 1 : Remainder = 0
  • Divide 2907 by 3: 2907 ÷ 3 : Remainder = 0
  • Divide 2907 by 9: 2907 ÷ 9 : Remainder = 0
  • Divide 2907 by 17: 2907 ÷ 17 : Remainder = 0
  • Divide 2907 by 19: 2907 ÷ 19 : Remainder = 0
  • Divide 2907 by 51: 2907 ÷ 51 : Remainder = 0
  • Divide 2907 by 57: 2907 ÷ 57 : Remainder = 0
  • Divide 2907 by 153: 2907 ÷ 153 : Remainder = 0
  • Divide 2907 by 171: 2907 ÷ 171 : Remainder = 0
  • Divide 2907 by 323: 2907 ÷ 323 : Remainder = 0
  • Divide 2907 by 969: 2907 ÷ 969 : Remainder = 0
  • Divide 2907 by 2907: 2907 ÷ 2907 : Remainder = 0

Hence, Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, and 2907

2. Steps to find factors of 2907 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 2907 using the division method, follow these steps:

  • Step 1. Start dividing 2907 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 2907, which is 3. Divide 2907 by 3 to obtain the quotient (969).
    2907 ÷ 3 = 969
  • Step 3. Repeat step 1 with the obtained quotient (969).
    969 ÷ 3 = 323
    323 ÷ 17 = 19
    19 ÷ 19 = 1

So, the prime factorization of 2907 is, 2907 = 3 x 3 x 17 x 19.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2907 as shown below:

So, the prime factorization of 2907 is, 2907 = 3 x 3 x 17 x 19.

3. Find factors of 2907 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 2907 would be the two numbers which, when multiplied, give 2907 as the result.

The following table represents the calculation of factors of 2907 in pairs:

Factor Pair Pair Factorization
1 and 2907 1 x 2907 = 2907
3 and 969 3 x 969 = 2907
9 and 323 9 x 323 = 2907
17 and 171 17 x 171 = 2907
19 and 153 19 x 153 = 2907
51 and 57 51 x 57 = 2907

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 2907. They are called negative pair factors.

Hence, the negative pairs of 2907 would be ( -1 , -2907 ) , ( -3 , -969 ) , ( -9 , -323 ) , ( -17 , -171 ) , ( -19 , -153 ) and ( -51 , -57 ) .

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 2907 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, 17, 19, 51, 57, 153, 171, 323, 969, 2907 are exact divisors of 2907.
  • Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907. Each factor divides 2907 without leaving a remainder.

Frequently Asked Questions

  • Which is the smallest prime factor of 2907?

    Smallest prime factor of 2907 is 3.

  • Is 2907 a perfect square?

    No 2907 is not a perfect square.

  • What are five multiples of 2907?

    First five multiples of 2907 are 5814, 8721, 11628, 14535, 17442.

  • What is prime factorization of 2907?

    Prime factorization of 2907 is 3 x 3 x 17 x 19.

  • What are factors of 2907?

    Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.

  • How do you find factors of a negative number? ( eg. -2907 )?

    Factors of -2907 are -1, -3, -9, -17, -19, -51, -57, -153, -171, -323, -969, -2907.

  • Is 2907 a whole number?

    Yes 2907 is a whole number.

  • Which is greatest factor of 2907?

    The greatest factor of 2907 is 969.

  • What are the prime factors of 2907?

    The factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.
    Prime factors of 2907 are 3, 3, 17, 19.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 2907. Can you help her?

Prime factors of 2907 are 3, 3, 17, 19.
Hence, the product of prime factors of 969.

Can you help Rubel to find out the product of the even factors of 2907?

Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.
Even factors of 2907 are 0.
Hence, product of even factors of 2907 is; 0 = 0.

Joy wants to calculate mean of all the factors of 2907. Help him in finding the mean of 2907.

Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2907 is 1 + 3 + 9 + 17 + 19 + 51 + 57 + 153 + 171 + 323 + 969 + 2907 = 4680.
Hence, the mean of factors of 2907 is 4680 ÷ 12 = 390.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2907? Help her in writing all the factors.

Positive factors are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.
Negative factors are -1, -3, -9, -17, -19, -51, -57, -153, -171, -323, -969, -2907.

How many factors are there for 2907?

Factors of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969, 2907.
So there are in total 12 factors.

Joey wants to write all the prime factors of 2907 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2907 are 3, 3, 17, 19.
So in exponential form it can be written as 32 x 17 x 19.

Kevin has been asked to write 11 factor(s) of 2907. Can you predict the answer?

11 factor(s) of 2907 are 1, 3, 9, 17, 19, 51, 57, 153, 171, 323, 969.