1. Steps to find factors of 603 using Division Method

Example: Find factors of 603

  • Divide 603 by 1: 603 ÷ 1 : Remainder = 0
  • Divide 603 by 3: 603 ÷ 3 : Remainder = 0
  • Divide 603 by 9: 603 ÷ 9 : Remainder = 0
  • Divide 603 by 67: 603 ÷ 67 : Remainder = 0
  • Divide 603 by 201: 603 ÷ 201 : Remainder = 0
  • Divide 603 by 603: 603 ÷ 603 : Remainder = 0

Hence, Factors of 603 are 1, 3, 9, 67, 201, and 603

2. Steps to find factors of 603 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 603 using the division method, follow these steps:

  • Step 1. Start dividing 603 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 603, which is 3. Divide 603 by 3 to obtain the quotient (201).
    603 ÷ 3 = 201
  • Step 3. Repeat step 1 with the obtained quotient (201).
    201 ÷ 3 = 67
    67 ÷ 67 = 1

So, the prime factorization of 603 is, 603 = 3 x 3 x 67.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 603 as shown below:

So, the prime factorization of 603 is, 603 = 3 x 3 x 67.

3. Find factors of 603 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 603 would be the two numbers which, when multiplied, give 603 as the result.

The following table represents the calculation of factors of 603 in pairs:

Factor Pair Pair Factorization
1 and 603 1 x 603 = 603
3 and 201 3 x 201 = 603
9 and 67 9 x 67 = 603

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 603. They are called negative pair factors.

Hence, the negative pairs of 603 would be ( -1 , -603 ) , ( -3 , -201 ) and ( -9 , -67 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

  • Every number is a factor of zero (0), since 603 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, 67, 201, 603 are exact divisors of 603.
  • Factors of 603 are 1, 3, 9, 67, 201, 603. Each factor divides 603 without leaving a remainder.

Frequently Asked Questions

  • Which is the smallest prime factor of 603?

    Smallest prime factor of 603 is 3.

  • Is 603 a perfect square?

    No 603 is not a perfect square.

  • What are five multiples of 603?

    First five multiples of 603 are 1206, 1809, 2412, 3015, 3618.

  • What is prime factorization of 603?

    Prime factorization of 603 is 3 x 3 x 67.

  • What are factors of 603?

    Factors of 603 are 1, 3, 9, 67, 201, 603.

  • How do you find factors of a negative number? ( eg. -603 )?

    Factors of -603 are -1, -3, -9, -67, -201, -603.

  • Is 603 a whole number?

    Yes 603 is a whole number.

  • Which is greatest factor of 603?

    The greatest factor of 603 is 201.

  • What are the prime factors of 603?

    The factors of 603 are 1, 3, 9, 67, 201, 603.
    Prime factors of 603 are 3, 3, 67.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 603. Can you help her?

Prime factors of 603 are 3, 3, 67.
Hence, the product of prime factors of 201.

Can you help Rubel to find out the product of the even factors of 603?

Factors of 603 are 1, 3, 9, 67, 201, 603.
Even factors of 603 are 0.
Hence, product of even factors of 603 is; 0 = 0.

Joy wants to calculate mean of all the factors of 603. Help him in finding the mean of 603.

Factors of 603 are 1, 3, 9, 67, 201, 603.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 603 is 1 + 3 + 9 + 67 + 201 + 603 = 884.
Hence, the mean of factors of 603 is 884 ÷ 6 = 147.33.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 603? Help her in writing all the factors.

Positive factors are 1, 3, 9, 67, 201, 603.
Negative factors are -1, -3, -9, -67, -201, -603.

How many factors are there for 603?

Factors of 603 are 1, 3, 9, 67, 201, 603.
So there are in total 6 factors.

Joey wants to write all the prime factors of 603 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 603 are 3, 3, 67.
So in exponential form it can be written as 32 x 67.

Kevin has been asked to write 5 factor(s) of 603. Can you predict the answer?

5 factor(s) of 603 are 1, 3, 9, 67, 201.