# Factors of 1058

Factors of 1058 are 1, 2, 23, 46, 529, and 1058

#### How to find factors of a number

 1.   Find factors of 1058 using Division Method 2.   Find factors of 1058 using Prime Factorization 3.   Find factors of 1058 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1058

• Divide 1058 by 1: 1058 ÷ 1 : Remainder = 0
• Divide 1058 by 2: 1058 ÷ 2 : Remainder = 0
• Divide 1058 by 23: 1058 ÷ 23 : Remainder = 0
• Divide 1058 by 46: 1058 ÷ 46 : Remainder = 0
• Divide 1058 by 529: 1058 ÷ 529 : Remainder = 0
• Divide 1058 by 1058: 1058 ÷ 1058 : Remainder = 0

Hence, Factors of 1058 are 1, 2, 23, 46, 529, and 1058

#### 2. Steps to find factors of 1058 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 1058 using the division method, follow these steps:

• Step 1. Start dividing 1058 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 1058, which is 2. Divide 1058 by 2 to obtain the quotient (529).
1058 ÷ 2 = 529
• Step 3. Repeat step 1 with the obtained quotient (529).
529 ÷ 23 = 23
23 ÷ 23 = 1

So, the prime factorization of 1058 is, 1058 = 2 x 23 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1058 as shown below:

So, the prime factorization of 1058 is, 1058 = 2 x 23 x 23.

#### 3. Find factors of 1058 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 1058 would be the two numbers which, when multiplied, give 1058 as the result.

The following table represents the calculation of factors of 1058 in pairs:

Factor Pair Pair Factorization
1 and 1058 1 x 1058 = 1058
2 and 529 2 x 529 = 1058
23 and 46 23 x 46 = 1058

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 1058. They are called negative pair factors.

Hence, the negative pairs of 1058 would be ( -1 , -1058 ) , ( -2 , -529 ) and ( -23 , -46 ) .

#### 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

• Each number is a factor of itself. Eg. 1058 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, 23, 46, 529, 1058 are exact divisors of 1058.
• 1 is a factor of every number. Eg. 1 is a factor of 1058.
• Every number is a factor of zero (0), since 1058 x 0 = 0.

• What are the pair factors of 1058?

Pair factors of 1058 are (1,1058), (2,529), (23,46).

• What are five multiples of 1058?

First five multiples of 1058 are 2116, 3174, 4232, 5290, 6348.

• What two numbers make 1058?

Two numbers that make 1058 are 2 and 529.

• What is the sum of all factors of 1058?

The sum of all factors of 1058 is 1659.

• What are factors of -1058?

Factors of -1058 are -1, -2, -23, -46, -529, -1058.

• What are factors of 1058?

Factors of 1058 are 1, 2, 23, 46, 529, 1058.

• Is 1058 a perfect square?

No 1058 is not a perfect square.

• Which is the smallest prime factor of 1058?

Smallest prime factor of 1058 is 2.

• Which is greatest factor of 1058?

The greatest factor of 1058 is 529.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 1058?

Factors of 1058 are 1, 2, 23, 46, 529, 1058.
Odd factors of 1058 are 1, 23, 529.
Hence product of odd factors of 1058 is; 1 x 23 x 529 = 12167.

Joey wants to write all the prime factors of 1058 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1058 are 2, 23, 23.
So in exponential form it can be written as 2 x 232.

How many factors are there for 1058?

Factors of 1058 are 1, 2, 23, 46, 529, 1058.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 1058. Can you predict the answer?

5 factor(s) of 1058 are 1, 2, 23, 46, 529.

Sammy is puzzled while calculating the prime factors of 1058. Can you help him find them?

Factors of 1058 are 1, 2, 23, 46, 529, 1058.
Prime factors of 1058 are 2, 23, 23

What is prime factorization of 1058?

Prime factorization of 1058 is 2 x 23 x 23 = 2 x 232.

Can you help Rubel to find out the product of the even factors of 1058?

Factors of 1058 are 1, 2, 23, 46, 529, 1058.
Even factors of 1058 are 2, 46, 1058.
Hence, product of even factors of 1058 is; 2 x 46 x 1058 = 97336.