1. Steps to find factors of 580 using Division Method

Example: Find factors of 580

  • Divide 580 by 1: 580 ÷ 1 : Remainder = 0
  • Divide 580 by 2: 580 ÷ 2 : Remainder = 0
  • Divide 580 by 4: 580 ÷ 4 : Remainder = 0
  • Divide 580 by 5: 580 ÷ 5 : Remainder = 0
  • Divide 580 by 10: 580 ÷ 10 : Remainder = 0
  • Divide 580 by 20: 580 ÷ 20 : Remainder = 0
  • Divide 580 by 29: 580 ÷ 29 : Remainder = 0
  • Divide 580 by 58: 580 ÷ 58 : Remainder = 0
  • Divide 580 by 116: 580 ÷ 116 : Remainder = 0
  • Divide 580 by 145: 580 ÷ 145 : Remainder = 0
  • Divide 580 by 290: 580 ÷ 290 : Remainder = 0
  • Divide 580 by 580: 580 ÷ 580 : Remainder = 0

Hence, Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580

2. Steps to find factors of 580 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 580 using the division method, follow these steps:

  • Step 1. Start dividing 580 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 580, which is 2. Divide 580 by 2 to obtain the quotient (290).
    580 ÷ 2 = 290
  • Step 3. Repeat step 1 with the obtained quotient (290).
    290 ÷ 2 = 145
    145 ÷ 5 = 29
    29 ÷ 29 = 1

So, the prime factorization of 580 is, 580 = 2 x 2 x 5 x 29.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 580 as shown below:

So, the prime factorization of 580 is, 580 = 2 x 2 x 5 x 29.

3. Find factors of 580 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 580 would be the two numbers which, when multiplied, give 580 as the result.

The following table represents the calculation of factors of 580 in pairs:

Factor Pair Pair Factorization
1 and 580 1 x 580 = 580
2 and 290 2 x 290 = 580
4 and 145 4 x 145 = 580
5 and 116 5 x 116 = 580
10 and 58 10 x 58 = 580
20 and 29 20 x 29 = 580

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 580. They are called negative pair factors.

Hence, the negative pairs of 580 would be ( -1 , -580 ) , ( -2 , -290 ) , ( -4 , -145 ) , ( -5 , -116 ) , ( -10 , -58 ) and ( -20 , -29 ) .

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. 580 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 580.
  • Every number is a factor of zero (0), since 580 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, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580 are exact divisors of 580.
  • Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. Each factor divides 580 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580 are all less than or equal to 580.

Frequently Asked Questions

  • Is 580 a perfect square?

    No 580 is not a perfect square.

  • What are factors of 580?

    Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.

  • Which is greatest factor of 580?

    The greatest factor of 580 is 290.

  • What is the sum of all factors of 580?

    The sum of all factors of 580 is 1260.

  • What are multiples of 580?

    First five multiples of 580 are 1160, 1740, 2320, 2900.

  • What is the greatest prime factors of 580?

    The greatest prime factor of 580 is 29.

  • What are six multiples of 580?

    First five multiples of 580 are 1160, 1740, 2320, 2900, 3480, 4060.

  • What is prime factorization of 580?

    Prime factorization of 580 is 2 x 2 x 5 x 29.

  • Is 580 a whole number?

    Yes 580 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 580? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Negative factors are -1, -2, -4, -5, -10, -20, -29, -58, -116, -145, -290, -580.

Can you help Sammy find out the product of the odd factors of 580?

Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Odd factors of 580 are 1, 5, 29, 145.
Hence product of odd factors of 580 is; 1 x 5 x 29 x 145 = 21025.

Joey wants to write all the prime factors of 580 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 580 are 2, 2, 5, 29.
So in exponential form it can be written as 22 x 5 x 29.

How many factors are there for 580?

Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 580. Can you predict the answer?

11 factor(s) of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290.

Sammy is puzzled while calculating the prime factors of 580. Can you help him find them?

Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Prime factors of 580 are 2, 2, 5, 29

What is prime factorization of 580?

Prime factorization of 580 is 2 x 2 x 5 x 29 = 22 x 5 x 29.