Factors the 63 space the integers that divide the initial number evenly. Over there are entirely six determinants of 63, i.e., 1, 3, 7, 9, 21, and also 63. Hence, the smallest aspect is 1 and the greatest factor of 63 is 63, itself. Pair determinants of 63 room the number which as soon as multiplied in pairs results in the initial number. The factors in Pairs space (1, 63), (3, 21), and (7, 9). If we add all the determinants of 63, climate the sum will be same to: 1 + 3 + 7 + 9 + 21 + 63 = 104.

You are watching: What are the factors of 63

In this article, we will find out in detail how to find the factors of 63 utilizing the division method and also prime factorisation method. Also, watch some examples related to factors of 63.

What space the factors of 63?

The components of 63 are the number that divide the number 63 exactly without leaving any kind of remainder. In various other words, the pair determinants of 63 room the number that are multiplied in pairs leading to the initial number 63. Since the number 63 is a composite number, 63 has much more than 2 factors. Thus, the determinants of 63 space 1, 3, 7, 9, 21 and also 63.

*

Pair determinants of 63

The pair components of 63 are the number that room multiplied in pairs to provide the product value as 63. As the components of 63 can be hopeful or negative, the pair factors of 63 can likewise be optimistic or negative, however they cannot be in fraction or decimal form. Thus, the positive and an unfavorable pair determinants of 63 are offered below.

Positive Pair determinants of 63:


Positive factors of 63

Positive Pair determinants of 63

1 × 63

(1, 63)

3 × 21

(3, 21)

7 × 9

(7, 9)


Negative Pair determinants of 63:


Negative components of 63

Negative Pair factors of 63

-1 ×- 63

(-1, -63)

-3 × -21

(-3, -21)

-7 × -9

(-7, -9)


How come Find factors of 63?

63 is one odd number that has actually six factors. Because the variety of factors is less, hence it is straightforward to get these components using two an easy methods. They are:

Division MethodPrime Factorisation Method

Factors that 63 Using division Method

Using a simple division method, we deserve to evaluate the components of 63. Let us start.

Divide 63 through the smallest possible divisor, i.e.,1. Hence, one of the components of 63 is 1.Now examine with the next entirety number, that have the right to divide 63 completely. 63/3 = 21. Hence, 3 is a factor.Continue the division by totality number until we reach 63/63 = 1. Since, us cannot take it the further entirety numbers.Thus, the determinants we have actually received are:63/1 = 6363/3 = 2163/7 = 963/9 = 763/21 = 363/63 = 1

Hence, the required determinants of 63 room 1,3,7,9,21 and also 63.

Using Trick

Another trick to uncover the determinants of 63 using division method is given below:

Dividing 63 by 1 we acquire 63. (1 and 63 space the factors)Dividing 63 through 3 we obtain 21. (3 and 21 room the factors)Now we recognize 21 is also a composite number.Divide 21 by 3, we gain 7 (Again 7 and also 3 room the factors)

Hence, by the above steps, the numbers 1, 63, 21, 7 and 3 end up being the determinants of 63. Since 3 is repetitive twice, therefore 3 x 3 = 9 is also a factor of 63. Therefore, the total factors space 1, 3, 7, 9, 21 and 63.

Prime factorization of 63

The number 63 is a composite number. Currently let us discover the element factors associated with 63.

The first step is to divide the number 63 v the smallest prime factor,i.e. 2.

63 ÷ 2 = 31.5; fraction cannot it is in a factor. Therefore, moving to the next prime number

Divide 63 by 3.

63 ÷ 3 = 21

Again divide 21 by 3 and keep ~ above diving the output by 3 it spins you gain 1 or a fraction.

21 ÷ 3 = 7

7 ÷ 3 = 2.33; cannot be a factor. Now relocate to the next prime number 7.

Dividing 7 through 7 we get,

7 ÷ 7 = 1

We have actually received 1 at the end and also it no have any kind of factor. Therefore, us cannot proceed more with the department method. So, the prime factorisation of 63 is 3 × 3 × 7 or 32 × 7, wherein 3 and 7 space the element numbers.

Factor Tree of 63

By prime factorisation, we have actually seen, exactly how we can break-up the number 63 into prime factors. Hence the aspect tree so developed is shown in the number below.

*

Facts of determinants of 63

Factors of 63 – 1, 3, 7, 9, 21 and 63Prime factorisation that 63 – 3 × 3 × 7Prime aspect of 63 – 3 and 7Pair determinants of 63 – (1, 63), (3, 21), and (7, 9)Sum of determinants of 63 – 104

Related Articles


Links concerned Factors
Factors the 15Factor the 36
Factors that 48Factors the 18
Factors of 42Factors that 60
Factors of 35Factors of 27
Factors and also MultiplesFactors of 50

Solved examples on components of 63

Example 1:

Find the typical factors that 63 and 62.

Solution:

The components of 63 room 1, 3, 7, 9, 21 and 63

The components of 62 room 1, 2, 31, 62.

Thus, the usual factor of 63 and also 62 is 1.

Example 2:

Find the usual factors that 63 and also 64.

Solution:

Factors that 63 = 1, 3, 7, 9, 21 and 63

Factors that 64 = 1, 2, 4, 8, 16, 32 and 64

Therefore, the typical factors of 63 and also 64 is 1.

Example 3:

Find the common factors that 63 and 61.

Solution: 

The factors of 63 space 1, 3, 7, 9, 21 and also 63

The determinants of 61 are 1 and 61.

Hence, the typical factor the 63 and 61 is 1 only, as 61 is a element number.

Practise questions on components of 63

What room the typical factors of 63 and 65?Which is the second highest variable of 63?What is the difference in between highest factor and smallest factor of 63?What is the greatest usual factor that 63 and also 70?

Learn much more about factors and also prime determinants here with us in BYJU’S and also download BYJU’S – The Learning app for a better experience and also get video content come study and also understand the principles of Maths topics.

See more: Maid Of Honor Vs Matron Of Honor Vs, Bridesmaid Expectations: Matron Of Honor Duties


The determinants of 63 are the number that divide 63, there is no leaving any kind of remainder. Hence, the components of 63 room 1, 3, 7, 9, 21 and also 63.