# Factors of 58 in pair

Factors of 58 in pair are (1, 58) , (2, 29)

#### How to find factors of a number in pair

 1.   Steps to find factors of 58 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 58 in pair

Factor Pair Pair Factorization
1 and 58 1 x 58 = 58
2 and 29 2 x 29 = 58

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 58. They are called negative pair factors.

Hence, the negative pairs of 58 would be ( -1 , -58 ) .

#### What does factor pairs in mathematics mean?

In mathematics, factor pair of a number are all those possible combination which when multiplied together give the original number in return. Every natural number is a product of atleast one factor pair. Eg- Factors of 58 are 1 , 2 , 29 , 58. So, factors of 58 in pair are (1,58), (2,29).

#### 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. 58 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, 29, 58 are exact divisors of 58.
• 1 is a factor of every number. Eg. 1 is a factor of 58.
• Every number is a factor of zero (0), since 58 x 0 = 0.

#### Steps to find Factors of 58

• Step 1. Find all the numbers that would divide 58 without leaving any remainder. Starting with the number 1 upto 29 (half of 58). The number 1 and the number itself are always factors of the given number.
58 ÷ 1 : Remainder = 0
58 ÷ 2 : Remainder = 0
58 ÷ 29 : Remainder = 0
58 ÷ 58 : Remainder = 0

Hence, Factors of 58 are 1, 2, 29, and 58

• Is 58 a composite number?

Yes 58 is a composite number.

• Is 58 a prime number?

No 58 is not a prime number.

• Write five multiples of 58.

Five multiples of 58 are 116, 174, 232, 290, 348.

• Write all odd factors of 58?

The factors of 58 are 1, 2, 29, 58.
Odd factors of 58 are 1 , 29.

• What is the mean of all prime factors of 58?

Factors of 58 are 1 , 2 , 29 , 58. Prime factors of 58 are 2 , 29. Therefore mean of prime factors of 58 is (2 + 29) / 2 = 15.50.

#### Examples of Factors

Ariel has been asked to write all factor pairs of 58 but she is finding it difficult. Can you help her find out?

Factors of 58 are 1, 2, 29, 58. So, factors of 58 in pair are (1,58), (2,29).

Sammy wants to write all the negative factors of 58 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 58 are -1, -2, -29, -58. Hence, factors of 58 in pair are (-1,-58), (-2,-29).

Help Deep in writing the positive factors of 58 in pair and negative factor of 58 in pair.

Factors of 58 are 1, 2, 29, 58. Positive factors of 58 in pair are (1,58), (2,29). Negative factors of 58 in pair are (-1,-58), (-2,-29).

Find the product of all prime factors of 58.

Factors of 58 are 1, 2, 29, 58. Prime factors are 2, 29. So, the product of all prime factors of 58 would be 2 x 29 = 58.

Can you help Sammy list the factors of 58 and also find the factor pairs?

Factors of 58 are 1, 2, 29, 58.
Factors of 58 in pair are (1,58), (2,29).

Help Diji in finding factors of 58 by Prime Factorization method and then sorting factors of 58 in pairs.

Prime factorization of 58 is 2 x 29. Factors of 58 in pair can be written as (1,58), (2,29).

Write the smallest prime factor of 58.

Smallest prime factor of 58 is 2.

Write the largest prime factor of 58.

Largest prime factor of 58 is 29.