What Times What Equals 63

Factors of 63 are the integers that split up the original number evenly. There are totally six factors of 63, i.e., 1, 3, 7, nine, 21, and 63. Hence, the smallest factor is 1 and the greatest gene of 63 is 63, itself. Pair factors of 63 are the numbers which when multiplied in pairs results in the original number. The factors in Pairs are (ane, 63), (iii, 21), and (7, 9). If nosotros add all the factors of 63, and so the sum will be equal to: ane + three + vii + 9 + 21 + 63 = 104.

In this article, we volition acquire in detail how to observe the factors of 63 using the partitioning method and prime number factorisation method. Likewise, encounter some examples related to factors of 63.

What are the Factors of 63?

The factors of 63 are the numbers that dissever the number 63 exactly without leaving whatever remainder. In other words, the pair factors of 63 are the numbers that are multiplied in pairs resulting in the original number 63. Since the number 63 is a blended number, 63 has more than two factors. Thus, the factors of 63 are one, three, vii, 9, 21 and 63.

Factors of 63

Pair Factors of 63

The pair factors of 63 are the numbers that are multiplied in pairs to give the production value as 63. As the factors of 63 can be positive or negative, the pair factors of 63 can also be positive or negative, just they cannot be in fraction or decimal form. Thus, the positive and negative pair factors of 63 are given beneath.

Positive Pair Factors of 63:

Positive Factors of 63	Positive Pair Factors of 63
1 × 63	(1, 63)
three × 21	(three, 21)
7 × ix	(seven, 9)

Negative Pair Factors of 63:

Negative Factors of 63	Negative Pair Factors of 63
-one ×- 63	(-1, -63)
-3 × -21	(-3, -21)
-7 × -9	(-7, -9)

How to Observe Factors of 63?

63 is an odd number that has six factors. Since the number of factors is less, thus information technology is easy to become these factors using ii simple methods. They are:

Division Method
Prime Factorisation Method

Factors of 63 Using Division Method

Using a simple partition method, we can evaluate the factors of 63. Permit us offset.

Divide 63 with the smallest possible divisor, i.e.,1. Hence, one of the factors of 63 is 1.
Now check with the side by side whole number, that can divide 63 completely. 63/3 = 21. Hence, three is a factor.
Continue the division by whole number until we reach 63/63 = 1. Since, we cannot take the further whole numbers.
Thus, the factors nosotros have received are:
63/1 = 63
63/3 = 21
63/7 = 9
63/9 = 7
63/21 = 3
63/63 = 1

Hence, the required factors of 63 are 1,3,seven,9,21 and 63.

Using Trick

Another fob to discover the factors of 63 using division method is given below:

Dividing 63 by 1 we get 63. (1 and 63 are the factors)
Dividing 63 by iii we get 21. (3 and 21 are the factors)
Now we know 21 is likewise a composite number.
Carve up 21 past 3, we get 7 (Over again 7 and 3 are the factors)

Hence, past the above steps, the numbers one, 63, 21, 7 and three become the factors of 63. Since 3 is repeated twice, thus iii ten three = nine is likewise a gene of 63. Therefore, the total factors are 1, 3, 7, 9, 21 and 63.

Prime Factorization of 63

The number 63 is a blended number. Now allow us find the prime factors associated with 63.

The start step is to split up the number 63 with the smallest prime cistron,i.eastward. two.

63 ÷ 2 = 31.5; fraction cannot exist a cistron. Therefore, moving to the adjacent prime number number

Divide 63 by iii.

63 ÷ 3 = 21

Once more divide 21 by 3 and proceed on diving the output past three till you get 1 or a fraction.

21 ÷ 3 = 7

7 ÷ 3 = 2.33; cannot be a factor. At present move to the adjacent prime 7.

Dividing seven by 7 nosotros go,

vii ÷ vii = i

Nosotros have received 1 at the end and it doesn't have any gene. Therefore, nosotros cannot go on further with the division method. And so, the prime factorisation of 63 is 3 × iii × 7 or 3 ² × vii , where 3 and seven are the prime number numbers.

Video Lesson on Prime Factors

Factor Tree of 63

Past prime factorisation, nosotros have seen, how we tin can split the number 63 into prime factors. Thus the factor tree and then formed is shown in the figure beneath.

Facts of Factors of 63

Factors of 63 – 1, 3, vii, 9, 21 and 63
Prime factorisation of 63 – three × 3 × seven
Prime cistron of 63 – iii and 7
Pair factors of 63 – (1, 63), (3, 21), and (7, 9)
Sum of factors of 63 – 104

Solved Examples on Factors of 63

Example 1:

Observe the mutual factors of 63 and 62.

Solution:

The factors of 63 are i, 3, 7, 9, 21 and 63

The factors of 62 are 1, ii, 31, 62.

Thus, the common gene of 63 and 62 is i.

Example 2:

Find the mutual factors of 63 and 64.

Solution:

Factors of 63 = 1, three, 7, 9, 21 and 63

Factors of 64 = 1, ii, 4, 8, 16, 32 and 64

Therefore, the mutual factors of 63 and 64 is 1.

Case 3:

Observe the common factors of 63 and 61.

Solution:

The factors of 63 are i, 3, 7, nine, 21 and 63

The factors of 61 are ane and 61.

Hence, the common cistron of 63 and 61 is 1 merely, equally 61 is a prime number.

Exercise Questions on Factors of 63

What are the common factors of 63 and 65?
Which is the 2nd highest factor of 63?
What is the difference between highest factor and smallest gene of 63?
What is the greatest common cistron of 63 and 70?

Acquire more about factors and prime factors here with u.s. in BYJU'S and also download BYJU'S – The Learning App for a better feel and go video content to study and understand the concepts of Maths topics.

Oftentimes Asked Questions on Factors of 63

What are the factors of 63?

The factors of 63 are the numbers that divide 63, without leaving whatever remainder. Hence, the factors of 63 are one, 3, 7, 9, 21 and 63.

What is the prime factorization of 63?

The prime factorization of 63 is 3 × iii × 7 or 3² × seven.

Write down the positive pair factors of 63?

The positive pair factors of 63 are (1, 63), (3, 21), and (seven, 9).

What are the negative pair factors of 63?

The negative pair factors of 63 are (-1, -63), (-3, -21) and (-seven, -ix).

Is 21 a cistron of 63?

Yes, 21 is a factor of 63. As the number 21 divides 63 exactly, 21 is a factor of 63.