**Factors of 64** room the organic numbers that deserve to divide the original number evenly. Because that example, 2 is a variable of 64 because 64 separated by 2 is same to 32. Once two determinants are multiply together and also they result in the original number, then they are referred to as pair factors. By factorisation method, we can find the determinants of 64.

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## Pair components of 64

To discover the aspect pairs that 64, main point the two numbers in a pair to get the original number together 64, together numbers space as follows:

If 1 × 64 = 64, then (1, 64) is a pair variable of 64.

2 × 32 = 64, (2, 32) is a pair variable of 64

4 × 16 = 64, then (4, 16) is a pair aspect of 64

8 × 8 = 64, (8, 8) is a pair factor of 64

Therefore, the** optimistic pair components are **(1, 64), (2, 32), (4,16) and (8, 8)

To uncover the negative pair determinants of 64, then proceed with the following steps

-1 × -64 = 64, (-1, -64) is a pair variable of 64.

-2 × -32 = 64, (-2, -32) is a pair aspect of 64

-4 × -16 = 64, then (-4, -16) is a pair variable of 64

-8 × -8 = 64, (-8, -8) is a pair aspect of 64

Therefore, the **negative pair components are **(-1, -64), (-2,-32), (-4, -16) and also (-8, -8).

## How to calculation the determinants of 64?

To discover the components of 64 we need to divide the original number by every the herbal numbers indigenous 1 come 64. The number that divide 64 completely, without leaving any kind of remainder, room the required factors.

64 ÷ 1 = 64

64 ÷ 2 = 32

64 ÷ 4 = 16

64 ÷ 8 = 8

64 ÷ 16 = 4

64 ÷ 32 = 2

64 ÷ 64 = 1

Factors of 64 |

1, 2, 4, 8, 16, 32 and 64 |

### Prime determinants of 64 By division Method

The number 64 is a composite and it should have actually prime factors. Now let united state know exactly how to calculation the prime components of a number 64.

**Step 1: **The an initial step is to divide the number 64 with the the smallest prime factor, say 2.

64 ÷ 2 = 32

**Step 2**: Again divide 32 through 2 and also the procedure goes on.

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we received the number 1 at the finish of the division process. So that us cannot proceed further. So, the **prime determinants of 64 **are written as** 2 x 2 × 2 x 2 x 2 x 2 or 26**, whereby 2 is a prime number.

It is feasible to find the exact variety of factors that a number 64 v the help of prime factorisation. The prime element of the 64 is 26. The exponent in the element factorisation is 6. Once you add the number 1 with the exponent 6, we obtain 7. I.e.,6 +1 = 7. Therefore, the number 64 has 7 factors.

## Solved Examples

**Q.1: uncover the amount of all the components of number 64 and check whether it is odd or even?**

Solution: The factors are 1, 2, 4, 8, 16, 32 and 64. Currently by adding these determinants together us get;

1+2+4+8+16+32+64 = 127

Hence, 127 is an odd number.

**Q.2: A black board has an area of 64 sq.cm. If the size of the board is 8 cm, then discover its width.**

Solution: Given,

Area of the plank = 64 sq cm.

Given, size = 8 cm

A board can be either rectangle-shaped or square.

Therefore, area will be the product the the length and width.

Area = length x width

Width = area ÷ length

= 64 ÷ 8

= 8

Therefore, broad is likewise equal to 8 cm. So, we deserve to conclude that the blackboard is in square shape.

**Q.3: Jack studies day-to-day for 4 hours. In how numerous days he will cover 64 hours?**

Solution: number of hours Jack studies everyday = 4 hours

Total number of hours = 64 hours

Therefore, number of days come cover 64 hours = 64/4 = 16

Hence, if Jack research studies 4 hours for 16 days, he will cover 64 hours.

**Q.4: perform the usual factors between 64, 100 and 140.**

Solution: To find the common factors we should lsit under the factors of every number here.

Factors of 64 = 1, 2, 4, 8, 16, 32, 64

Factors the 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

Factors that 140 = 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Common factors of 64, 100 and 140 = 1, 2 and 4.

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