Factors of 58

The factors of 58 will be 1, 2, 29, and 58. These are the only numbers which divide 58 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 58 exactly.

Negative Factors of 58 =Negative Factors of 58 are 1, 2, 29, and 58.

Prime Factors of 58 = 2 and 29

Prime Factorization of 58 = It is expressed as 2×29

The Sum of Factors of 58 = The sum of factors of 58 is 1 + 2 + 29 + 58 =90
 

To find the factors of 58, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

Students need to find pairs of numbers that multiply together to give the original number.

Step 1: Check numbers from 2 up to the square root of the number.

Step 2: To each number, find its pairs.

1×58 =58

2×29 =58

3, 4, 5, 6 do not divide 58 evenly.

Therefore, the factors of 58 are 1, 2, 29, and 58.

This method is a process of systematically multiplying different numbers to get the original number.
 

If children get the division in a whole number, then both the divisor and the quotient are factors.

Check numbers from 2 up to the square root of 58, where the square root of 58 is 7.61. So, you need to check until 7.

58 / 1 = 58, both 1 and 58 are factors

58 / 2 =29, both 2 and 29 are factors

58 / 3, 4, 5, and 6 won’t result in the whole number.

Then, the factors of 58 will be 1, 2, 29, and 58.
 

Prime factors are the numbers that divide a given number evenly without a remainder. And, prime factorization is the process of breaking down a number into its prime factors.

Prime Factors of 58 = 2 and 29

Prime Factorization of 58 = 2×29
 

A factor tree is a visual representation of the prime factorization of a number.

= 2 and 29 are the prime building blocks of 58

Factor Pairs: A factor pair is a combination of two numbers that multiply together to result in a specific value.

Factors a pair of number 58 = 1 and 58 = 1×58 = 58

                                              = 2 and 29 = 2×29 =58

The above numbers are the factor pairs for 58, as 58 only holds a few divisors.

Positive Pair Factors =1 and 58, 2 and 29

Negative Pair Factors =-1 and -58, -2 and -29

• Factor: This is a number that divides another number evenly without leaving any remainder.

• Divisor: It is said to be a number that divides another number evenly without leaving a remainder.

• Composite Number:A number which is greater than one, and it has at least one positive integer other than one and the number itself.

• Multiple:It is a product of the given number and some other integer.

• Prime Factorization:A method of splitting down a number to its prime factors, which are the smallest number that multiply to result in a given number.