1. Steps to find factors of 601 using Division Method

Example: Find factors of 601

  • Divide 601 by 1: 601 ÷ 1 : Remainder = 0
  • Divide 601 by 601: 601 ÷ 601 : Remainder = 0

Hence, Factors of 601 are 1 and 601

2. Steps to find factors of 601 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 601 using the division method, follow these steps:

  • Step 1. Start dividing 601 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 601, which is 601. Divide 601 by 601 to obtain the quotient (1).
    601 ÷ 601 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 601 is, 601 = 601.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 601 as shown below:

So, the prime factorization of 601 is, 601 = 601.

3. Find factors of 601 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 601 would be the two numbers which, when multiplied, give 601 as the result.

The following table represents the calculation of factors of 601 in pairs:

Factor Pair Pair Factorization
1 and 601 1 x 601 = 601

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 601. They are called negative pair factors.

Hence, the negative pairs of 601 would be ( -1 , -601 ) , .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 601 are exact divisors of 601.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 601 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 601.

Frequently Asked Questions

  • Which is the smallest prime factor of 601?

    The smallest prime factor of 601 is 601.

  • Is 601 a whole number?

    Yes 601 is a whole number.

  • What are the prime factors of 601?

    The factors of 601 are 1, 601.
    Prime factors of 601 are 601.

  • What two numbers make 601?

    Two numbers that make 601 are 601 and 1.

  • What are multiples of 601?

    First five multiples of 601 are 1202, 1803, 2404, 3005.

  • What is the sum of all factors of 601?

    The sum of all factors of 601 is 602.

  • What are five multiples of 601?

    First five multiples of 601 are 1202, 1803, 2404, 3005, 3606.

  • Is 601 a perfect square?

    No 601 is not a perfect square.

  • What is the greatest prime factors of 601?

    The greatest prime factor of 601 is 601.

Examples of Factors

How many factors are there for 601?

Factors of 601 are 1, 601.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 601. Can you predict the answer?

1 factor(s) of 601 is 1.

Sammy is puzzled while calculating the prime factors of 601. Can you help him find them?

Factors of 601 are 1, 601.
Prime factors of 601 are 601

What is prime factorization of 601?

Prime factorization of 601 is 601 = 601.

Ariel has been assigned the task to find the product of all the prime factors of 601. Can you help her?

Prime factors of 601 are 601.
Hence, the product of prime factors of 601.

Can you help Rubel to find out the product of the even factors of 601?

Factors of 601 are 1, 601.
Even factors of 601 are 0.
Hence, product of even factors of 601 is; 0 = 0.

Joy wants to calculate mean of all the factors of 601. Help him in finding the mean of 601.

Factors of 601 are 1, 601.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 601 is 1 + 601 = 602.
Hence, the mean of factors of 601 is 602 ÷ 2 = 301.00.