What Equals 63 In Multiplication

Factors of 63 are the integers that carve up the original number evenly. In that location are totally six factors of 63, i.e., 1, 3, vii, 9, 21, and 63. Hence, the smallest factor is 1 and the greatest factor 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 (one, 63), (iii, 21), and (seven, ix). If we add all the factors of 63, and then the sum will exist equal to: i + 3 + 7 + ix + 21 + 63 = 104.

In this article, nosotros volition learn in detail how to discover the factors of 63 using the division method and prime number factorisation method. Too, see some examples related to factors of 63.

What are the Factors of 63?

The factors of 63 are the numbers that divide the number 63 exactly without leaving any residual. 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 composite number, 63 has more than two factors. Thus, the factors of 63 are 1, 3, 7, ix, 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 product value every bit 63. Every bit the factors of 63 can be positive or negative, the pair factors of 63 can likewise exist positive or negative, simply they cannot be in fraction or decimal grade. Thus, the positive and negative pair factors of 63 are given below.

Positive Pair Factors of 63:

Positive Factors of 63	Positive Pair Factors of 63
1 × 63	(1, 63)
3 × 21	(3, 21)
seven × 9	(7, 9)

Negative Pair Factors of 63:

Negative Factors of 63	Negative Pair Factors of 63
-ane ×- 63	(-1, -63)
-three × -21	(-3, -21)
-7 × -9	(-vii, -9)

How to Find Factors of 63?

63 is an odd number that has half-dozen factors. Since the number of factors is less, thus it is easy to go these factors using 2 unproblematic methods. They are:

Division Method
Prime Factorisation Method

Factors of 63 Using Division Method

Using a uncomplicated division method, we tin can evaluate the factors of 63. Permit united states of america start.

Separate 63 with the smallest possible divisor, i.e.,i. Hence, i of the factors of 63 is 1.
Now check with the next whole number, that can divide 63 completely. 63/3 = 21. Hence, 3 is a factor.
Go on the sectionalisation by whole number until nosotros reach 63/63 = 1. Since, we cannot take the further whole numbers.
Thus, the factors we 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 trick to detect 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 3 nosotros become 21. (3 and 21 are the factors)
At present we know 21 is also a composite number.
Split 21 by iii, we get 7 (Again 7 and 3 are the factors)

Hence, by the above steps, the numbers 1, 63, 21, seven and 3 go the factors of 63. Since 3 is repeated twice, thus 3 10 three = ix is also a factor of 63. Therefore, the total factors are i, 3, vii, ix, 21 and 63.

Prime number Factorization of 63

The number 63 is a composite number. Now let usa find the prime factors associated with 63.

The first step is to divide the number 63 with the smallest prime gene,i.eastward. 2.

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

Split up 63 by 3.

63 ÷ 3 = 21

Again separate 21 by 3 and go along on diving the output past 3 till yous get 1 or a fraction.

21 ÷ 3 = 7

seven ÷ 3 = 2.33; cannot exist a factor. Now move to the side by side prime number 7.

Dividing 7 by vii we get,

7 ÷ 7 = 1

We accept received 1 at the cease and it doesn't have any cistron. Therefore, we cannot go along further with the segmentation method. So, the prime factorisation of 63 is 3 × 3 × vii or 3 ^two × 7 , where 3 and 7 are the prime numbers.

Video Lesson on Prime Factors

Factor Tree of 63

By prime factorisation, we have seen, how we can split the number 63 into prime factors. Thus the factor tree so formed is shown in the figure below.

Facts of Factors of 63

Factors of 63 – 1, iii, vii, 9, 21 and 63
Prime factorisation of 63 – 3 × 3 × 7
Prime gene of 63 – three 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:

Discover the mutual factors of 63 and 62.

Solution:

The factors of 63 are 1, three, 7, 9, 21 and 63

The factors of 62 are one, 2, 31, 62.

Thus, the common factor of 63 and 62 is 1.

Instance 2:

Detect the common factors of 63 and 64.

Solution:

Factors of 63 = 1, 3, seven, 9, 21 and 63

Factors of 64 = i, 2, 4, viii, 16, 32 and 64

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

Instance 3:

Notice the mutual factors of 63 and 61.

Solution:

The factors of 63 are 1, 3, 7, 9, 21 and 63

The factors of 61 are one and 61.

Hence, the common factor of 63 and 61 is one simply, as 61 is a prime.

Practise Questions on Factors of 63

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

Larn more than virtually factors and prime factors here with the states in BYJU'S and besides download BYJU'South – The Learning App for a better experience and get video content to study and understand the concepts of Maths topics.

Frequently Asked Questions on Factors of 63

What are the factors of 63?

The factors of 63 are the numbers that split up 63, without leaving whatever remainder. Hence, the factors of 63 are ane, 3, vii, nine, 21 and 63.

What is the prime factorization of 63?

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

Write downwards the positive pair factors of 63?

The positive pair factors of 63 are (one, 63), (3, 21), and (7, ix).

What are the negative pair factors of 63?

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

Is 21 a factor of 63?

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