In Mathematics, determinants of 49 space the real numbers that have the right to divide the initial number, evenly or in equal parts. Alternatively, we can say, once the product of 2 numbers results in the original number, climate they end up being the factors. Due to the fact that 49 is a composite number, that has more than 2 factors. We require to uncover these determinants with the help of the division method. Also, the prime components can it is in evaluated using the prime factorisation method. 

Now, let us find the factors, prime factors and also pair components of 49 in this article.

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How come Find factors of 49?

Factors are the totality numbers that divide the initial number (in this case, 49), completely.

49 ÷ 1 = 49 49 ÷ 7 = 7 49 ÷ 49 = 1

Thus, the components of 49 space 1, 7 and 49. 

More Factors

Pair components of 49

Pair components or factors in pairs space the numbers that an outcome in the original number (in this situation 49) once multiplied together. 

1 × 49 = 497 × 7 = 49

Therefore, the pair determinants are (1, 49) and also (11, 13).

Now, if we consider the an unfavorable pair factors, then;

-1 × -49 = 49-7 × -7 = 49

Therefore, the negative pair factors are (-1, -49) and (-7, -7).

Prime Factorisation that 49

Prime determinants of 49 are the element numbers that division the initial number, completely. The list of prime numbers native 1 to 50 is given listed below to number out the element factors.

List of element numbers (1 to 50) :

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Step 1: native the above, 49 is completely divisible by 7. Thus, the smallest prime aspect for 49 is 7.

49/7 = 7

Step 2: 7 itself is a prime number, for this reason it is divisible by either 1 or itself. 

7/7 = 1

Further division is not feasible because we already have a dividend equal to 1.

Therefore,

Prime factorisation that 49 = 7 x 7

Solved Examples

Q.1: If 7 roses are bought because that Rs.49. Climate what is the expense of every rose?

Solution: Given, 

Number that roses to buy = 7

Cost the 7 roses = Rs. 49

Cost the each increased = 49/7 = 7

Therefore, each rose cost Rs. 7.

Q.2: uncover the sum of all the determinants of 49. Also find the average.

Solution: The factors of 49 space 1, 7 and also 49.

Sum = 1 + 7 + 49 = 57

Therefore, 157 is the forced sum.

Now, to find the average of the factors, we have to divide the amount by full number factors.

Hence, 

Average = 157/3 = 52.33

Q.3: What is the greatest typical factor that 45 and also 49?

Answer: Let united state write the components of both the numbers.

49 → 1, 7, 49

45 → 1, 3, 5, 9, 15, 45

Hence, the greatest usual factor is just 1.

Q.4: What is the GCF the 49 and also 84?

Solution: We recognize the components of 49 are 1, 7 and 49.

Factors the 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

If us compare, 7 is the greatest typical factor of 49 and 84.

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GCF (49, 84) = 7

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