1. Steps to find factors of 590 using Division Method

Example: Find factors of 590

  • Divide 590 by 1: 590 ÷ 1 : Remainder = 0
  • Divide 590 by 2: 590 ÷ 2 : Remainder = 0
  • Divide 590 by 5: 590 ÷ 5 : Remainder = 0
  • Divide 590 by 10: 590 ÷ 10 : Remainder = 0
  • Divide 590 by 59: 590 ÷ 59 : Remainder = 0
  • Divide 590 by 118: 590 ÷ 118 : Remainder = 0
  • Divide 590 by 295: 590 ÷ 295 : Remainder = 0
  • Divide 590 by 590: 590 ÷ 590 : Remainder = 0

Hence, Factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590

2. Steps to find factors of 590 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 590 using the division method, follow these steps:

  • Step 1. Start dividing 590 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 590, which is 2. Divide 590 by 2 to obtain the quotient (295).
    590 ÷ 2 = 295
  • Step 3. Repeat step 1 with the obtained quotient (295).
    295 ÷ 5 = 59
    59 ÷ 59 = 1

So, the prime factorization of 590 is, 590 = 2 x 5 x 59.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 590 as shown below:

So, the prime factorization of 590 is, 590 = 2 x 5 x 59.

3. Find factors of 590 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 590 would be the two numbers which, when multiplied, give 590 as the result.

The following table represents the calculation of factors of 590 in pairs:

Factor Pair Pair Factorization
1 and 590 1 x 590 = 590
2 and 295 2 x 295 = 590
5 and 118 5 x 118 = 590
10 and 59 10 x 59 = 590

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 590. They are called negative pair factors.

Hence, the negative pairs of 590 would be ( -1 , -590 ) , ( -2 , -295 ) , ( -5 , -118 ) and ( -10 , -59 ) .

What are factors?

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

Properties of factors

  • Each number is a factor of itself. Eg. 590 is a factor of itself.
  • 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, 2, 5, 10, 59, 118, 295, 590 are exact divisors of 590.
  • 1 is a factor of every number. Eg. 1 is a factor of 590.
  • Every number is a factor of zero (0), since 590 x 0 = 0.

Frequently Asked Questions

  • What are the pair factors of 590?

    Pair factors of 590 are (1,590), (2,295), (5,118), (10,59).

  • What are five multiples of 590?

    First five multiples of 590 are 1180, 1770, 2360, 2950, 3540.

  • What two numbers make 590?

    Two numbers that make 590 are 2 and 295.

  • What is the sum of all factors of 590?

    The sum of all factors of 590 is 1080.

  • What are factors of -590?

    Factors of -590 are -1, -2, -5, -10, -59, -118, -295, -590.

  • What are factors of 590?

    Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590.

  • Is 590 a perfect square?

    No 590 is not a perfect square.

  • Which is the smallest prime factor of 590?

    Smallest prime factor of 590 is 2.

  • Which is greatest factor of 590?

    The greatest factor of 590 is 295.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 590?

Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590.
Odd factors of 590 are 1, 5, 59, 295.
Hence product of odd factors of 590 is; 1 x 5 x 59 x 295 = 87025.

Joey wants to write all the prime factors of 590 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 590 are 2, 5, 59.
So in exponential form it can be written as 2 x 5 x 59.

How many factors are there for 590?

Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 590. Can you predict the answer?

7 factor(s) of 590 are 1, 2, 5, 10, 59, 118, 295.

Sammy is puzzled while calculating the prime factors of 590. Can you help him find them?

Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590.
Prime factors of 590 are 2, 5, 59

What is prime factorization of 590?

Prime factorization of 590 is 2 x 5 x 59 = 2 x 5 x 59.

Can you help Rubel to find out the product of the even factors of 590?

Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590.
Even factors of 590 are 2, 10, 118, 590.
Hence, product of even factors of 590 is; 2 x 10 x 118 x 590 = 1392400.