Factors Of 55 | With Easy Division and Prime Factorization

Factors Of 55

In Maths, Numbers that divide an original number equally and uniformly are known as factors of 55. It has factors of more than two since 55 is a composite number.

Using the division method, we can determine these factors. It is necessary to check whether there is any remainder left after division. Normally, zero is the remainder, so the divisor is the factor.

Along with the factors we will be determining here, we will also be determining prime factors and pair factors of 55. These prime factors are actually prime numbers, and when they are multiplied together with each other, they produce the original number.

How to Find Factors of 55?

An integer factor is a number that divides the original number by itself completely (in this case, 55). In other words, after division and quotient, there is no remainder remaining.

55 ÷ 1 = 55

55 ÷ 5 = 11

55 ÷ 11 = 5

55 ÷ 55 = 1

We can see that the remainders of all four divisions are zero, and the quotients are not fractions.

 Accordingly, the factors of 55 are 1, 5, 11, and 55.

Factors Of -55?

Similarly, the factors of -55 are -1, -5, -11, and -55.

Multiplying two numbers to get the product -55 gives us:

-1 x  55 =  -55    &   1 x -55 =  -55

-11 x  5 = -55     &  11 x  -5 = -55

Pair Factors of 55

In mathematics, pair factors are the numbers that when multiplied or calculated as the product of factors in pairs result in the original number (here, 55). In this case, 1 and 55 make a pair, while 5 and 11 make another pair, such that;

1 × 55 = 55

5 × 11 = 55

Consequently, the positive pair factors are (1, 55) and (5, 11).

Multiplying two negative numbers will produce a positive number if we consider the negative pair factors. Consequently,

-1 × -55 = 55

-5 × -11 = 55

As a result, the negative pair factors are (-1, -55) and (-5, -11).

Prime Factorization of 55

Prime factors are prime numbers that can divide 55 into equal parts. To determine the prime factors, below is a list of prime numbers ranging from 1 to 55.

List of prime numbers (1 to 50) :

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

As we can see from the above list, 55 is completely divisible by 5. As a result, it has the smallest prime factor, 5.

55/5 = 11

Now, since 11 is a prime number, it is either divisible by 1 or by itself.

11/11 = 1

There can be no further division since the dividend is equal to 1, and it is only divisible by 1.

Thus,

Prime factorization of 55 = 5 x 11

Solved Examples

Q.1: If 5 balls are bought by Roy for Rs. 55. Then what is the cost of each ball?

Balls purchased: 5

Cost of 5 balls = Rs. 55

The cost of each ball is 55/5 = 11

As a result, each ball will cost Rs. 11.

Calculate the sum of all the factors of 55. Determine the average.

55 has factors 1, 5, 11, and 55.

The sum is 1 + 5 + 11 + 55 = 72

This makes 72 the required sum.

The next step is to calculate the average of the given factors.

Because Average = (Sum of all values) / Number of values

This is why

Average = 72/4 = 18

Therefore, 18 is the required average.

Q.2: What do 24 and 72 have in common?

Here are the factors of the two numbers.

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72 are the factors of 72.

Thus, 1, 2, 3, 4, 6, 8, 12, and 24 are the common factors.

Q.3: Is there a GCF for 55 and 60?

A set of numbers can be classified as having the greatest common factor if they share the largest factor in common. There are two common factors between 24, 20, and 12: 2 and 4. In the case of 24, 20, and 12, the largest GCF is 4.

Here is the list of factors for all the given numbers.

55 has the following factors: 1, 5, 11, 55

Factors of 60 include: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Factors of 75 are: 1, 3, 5, 15, 25, 75

In other words, the GCF for 55, 60, and 75 is 5

More Factors

FAQs

55 can be factorized as follows:

55 = 5 x 11

In this example, 5 and 11 are the prime numbers.