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Factors of 59

The numbers having any two numbers, one and the number itself are all prime numbers, 59 being one among them. Hence, their pair factors are (1, 59).Let us learn about the factors of 59 in pairs and the prime factors of 59 by prime factorization.

Factors of 59: 1 and 59
Prime Factorization of 59: 59

1.	What Are the Factors of 59?
2.	How to Calculate Factors of 59?
3.	Factors of 59 by Prime Factorization
4.	Factors of 59 in Pairs
5.	FAQs on Factors of 59

What are the Factors of 59?

Factors of 59 are those numbers that make 59 on multiplication.

factors of 59 shown in blocks as factor 1 and factor 2

How to Calculate the Factors of 59?

Factors of 59 are those numbers that divide it completely with 0 as the remainder.
59 ÷ 59 =1 and 59 ÷ 1 = 59

Explore factors using illustrations and interactive examples

Factors of 37: The factors of 37 are 1 and 37.
Factors of 15: The factors of 15 are 1 , 3, 5 and 15.
Factors of 45: The factors of 45 are 1, 3, 5, 9, 15 and 45.
Factors of 40: The factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40
Factors of 25: The factors of 25 are 1, 5 and 25

Factors of 59 by Prime Factorization

Prime factorization means to express a composite number as the product of its prime factors. The prime factorization of 59 is just 59 as it is just a product of 1 and 59 only.

Factors of 59 in Pairs

A pair of numbers, which gives 59 when multiplied together, is known as the pair factor of 59.
1 × 59 = 59. Therefore, positive factors of 59 in pairs are (1, 59).
- 1 × -59 = 59 Therefore, negative factors of 59 in pairs are (1, 59).

Important Notes

The numbers which we multiply to get 59 are the factors of 59
1 is a universal factor, which means that it is a factor of all numbers.
Pair factors are the pairs of two numbers which, when multiplied, give the number.
Factors of 59 in pairs are (1, 59) and (-59, -1).

Example 1: Which number gives 59 and 95, when multiplied with -1?

Solution:

We need to get the missing factors in each case.
_____ × (-1) = 59
_____ × (-1) = 95

Since one factor 1 is negative, the other factor also must be in negative.

Thus we get, -59 × (-1) = 59
-95 × (-1) = 95
Example 2: Sam finds 59 marbles in a pack. How many packs will he have to buy to give his 59 friends in class?

Solution:

Sam has to divide 59 cards amongst 59 students.
59 x ____ = 59. The missing factor is 1.

Therefore, Sam will have to buy 1 pack only.

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FAQs on Factors of 59

What are the factors of 59?

The factors of 59 are 1 and 59. 59 is prime.

Is 59 a prime number or a composite number?

59 has only two factors,1 and 59, hence, it is a prime number.
Numbers that have only 1 and itself as its factors are prime numbers.

What are the common factors of 59 and 58?

The two factors of 59 are 1 and 59.

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

The common factor of 59 and 58 is 1.

What are the negative factors of 59?

(-1) x (-59) = 59. Therefore the negative factors of 59 are -59 and -1.

Are all the factors of 59 prime?

Yes, both the factors of 59 is prime numbers.

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