**Factors of 64** space the organic numbers that can divide the original number evenly. Because that example, 2 is a factor of 64 due to the fact that 64 split by 2 is equal to 32. As soon as two components are multiplied together and they result in the initial number, then they are dubbed pair factors. Through factorisation method, we can uncover the components of 64.

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## Pair components of 64

To find the aspect pairs the 64, main point the 2 numbers in a pair to gain the initial number together 64, such numbers are as follows:

If 1 × 64 = 64, climate (1, 64) is a pair aspect of 64.

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

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

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

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

To uncover the an unfavorable pair factors of 64, then continue with the adhering to steps

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

-2 × -32 = 64, (-2, -32) is a pair element 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 calculate the determinants of 64?

To find the factors of 64 we have to divide the original number by every the organic numbers from 1 come 64. The number that divide 64 completely, there is no leaving any type of remainder, space the compelled factors.

64 ÷ 1 = 64

64 ÷ 2 = 32

64 ÷ 4 = 16

64 ÷ 8 = 8

64 ÷ 16 = 4

64 ÷ 32 = 2

64 ÷ 64 = 1

Factors that 64 |

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

### Prime determinants of 64 By division Method

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

**Step 1: **The an initial step is to division the number 64 through the the smallest prime factor, speak 2.

64 ÷ 2 = 32

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

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we obtained the number 1 at the end of the division process. So that us cannot proceed further. So, the **prime components of 64 **are written as** 2 x 2 × 2 x 2 x 2 x 2 or 26**, where 2 is a prime number.

It is possible to discover the exact variety of factors that a number 64 v the assist of element factorisation. The prime variable of the 64 is 26. The exponent in the element factorisation is 6. When you include 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 sum of all the factors of number 64 and also check whether it is odd or even?**

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

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

Hence, 127 is an odd number.

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

Solution: Given,

Area of the plank = 64 sq cm.

Given, size = 8 cm

A board have the right to be either rectangular or square.

Therefore, area will certainly be the product of the length and also width.

Area = length x width

Width = area ÷ length

= 64 ÷ 8

= 8

Therefore, broad is additionally equal to 8 cm. So, we have the right to conclude the the blackboard is in square shape.

**Q.3: Jack studies everyday for 4 hours. In how numerous days he will certainly cover 64 hours?**

Solution: variety of hours Jack studies day-to-day = 4 hours

Total variety of hours = 64 hours

Therefore, number of days to cover 64 hrs = 64/4 = 16

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

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

Solution: To find the common factors we need to lsit under the determinants of each number here.

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

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

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

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

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