Factors the 68 room the numbers, which division the number 68 to offer a quotient as a whole number. The factors of a number division the original number uniformly. Once we multiply the determinants in pairs, we obtain the outcomes as the initial number. ~ finding the determinants we deserve to arrange lock in ascending stimulate also. 68 is a composite number and also has more than 2 factors, unlike the prime numbers. Few of the an ext examples that composite number are, 24, 63, 81, 70, 216, 215, etc.

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Multiples are different from the factors, together they give prolonged times that 68, such as 68, 136, 204, 272, 340, 408, 476, 544, 612, 680 and also so on. Find out to find the factors of number 68, in addition to its prime factorisation, by reading the post completely.

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Also, read:


Factors the 81Factors the 16
Factors the 216Factors that 17
Factors that 215Factors that 415

How to Find components of 68?

Factors room the real numbers that divide the original number (in this case, 68), evenly or completely.

68 ÷ 1 = 68 68 ÷ 2 = 3468 ÷ 4 = 1768 ÷ 17 = 468 ÷ 34 = 2 68 ÷ 68 = 1

Thus, the factors of 68 are 1, 2, 4, 17, 34, and also 68

Factor the 68 in Pairs

We can discover the pair factors, by multiplying 2 numbers in a pair to obtain the original number as 68, together as;

1 × 68 = 682 × 34 = 684 × 17 = 68

From the over process, us get, the pair components of the number 68 are (1, 68), (2, 34) and (4, 17).

In the same way, we deserve to write the an unfavorable pair factors of 68, due to the fact that multiplication the two negative numbers will result in the optimistic number.

-1 × -68 = 68-2 × -34 = 68-4 × -17 = 68

Therefore, negative pair components are (-1, -68), (-2, -34) and also (-4, -17).

Factors the 68 in Ascending Order

Since us have currently obtained every the components here because that the number 68, let united state arrange them in ascending order, together as:

1The an initial step is to divide the number 68 through the the smallest prime factor, i.e. 2 and divide the output again through 2 it spins you get a fraction or strange number.

68 ÷ 2 = 34

Now, again divide 34 through 2.

34 ÷ 2 = 17

Now, we understand 17 is a prime number and it has only 2 factors; 1 and also 17. Therefore, we cannot continue with the division method further.

Therefore, the prime factors of 64 room 2 and 17.


Prime Factorisation the 64 = 2 × 2 × 17 or 22 × 17

Solved Examples

Q.1: There are 68 student in the class. If there are 17 benches in the class, climate how many students deserve to sit on each bench?

Solution: Given, 

Number of student = 68

Number the benches in class room = 17

Number of college student on every bench = 68/17 = 4

Therefore, on each bench, 4 students can be seated.

Q.2: discover the sum of every the determinants of 68. 

Solution: The components of 68 are 1, 7 and also 68.

Sum = 1 + 2 + 4 + 17 + 34 + 68 = 126

Therefore, 126 is the forced sum.

Q.3: What is the greatest common factor that 60 and also 68?

Answer: Let us write the determinants of both the numbers.

60 → 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

68 → 1, 2, 4, 17, 34, 68

Hence, the greatest common factor is just 4.

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Frequently Asked inquiries – FAQs


What are the components of 68?


There room a complete of six factors of 68. These factors are 1, 2, 4, 17, 34 and also 68.