In Mathematics, determinants of 49 are the actual numbers that can divide the initial number, evenly or in same parts. Alternatively, we can say, once the product of 2 numbers results in the initial number, climate they become the factors. Because 49 is a composite number, it has an ext than two factors. We need to uncover these factors with the help of the division method. Also, the prime determinants can be evaluated making use of the prime factorisation method. 

Now, let us uncover the factors, element factors and also pair determinants of 49 in this article.

You are watching: What are the factors of 49

*

How come Find factors of 49?

Factors are the entirety 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 room 1, 7 and 49. 

More Factors

Pair components of 49

Pair factors or determinants in pairs are the number that result in the initial number (in this instance 49) once multiplied together. 

1 × 49 = 497 × 7 = 49

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

Now, if we take into consideration the an unfavorable pair factors, then;

-1 × -49 = 49-7 × -7 = 49

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

Prime Factorisation that 49

Prime determinants of 49 room the element numbers that divide the original number, completely. The list of prime numbers from 1 to 50 is given below to number out the prime factors.

List of prime numbers (1 come 50) :

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

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

49/7 = 7

Step 2: 7 itself is a element number, thus it is divisible by one of two people 1 or itself. 

7/7 = 1

Further division is not possible because we already have a dividend same to 1.

Therefore,

Prime factorisation the 49 = 7 x 7

Solved Examples

Q.1: If 7 roses space bought for Rs.49. Climate what is the expense of each rose?

Solution: Given, 

Number the roses purchase = 7

Cost of 7 roses = Rs. 49

Cost of each climbed = 49/7 = 7

Therefore, each rose expense Rs. 7.

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

Solution: The determinants of 49 are 1, 7 and also 49.

Sum = 1 + 7 + 49 = 57

Therefore, 157 is the forced sum.

Now, to uncover the median of the factors, we should divide the sum by complete number factors.

Hence, 

Average = 157/3 = 52.33

Q.3: What is the greatest common 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 know the factors of 49 are 1, 7 and 49.

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

If we compare, 7 is the greatest common factor the 49 and also 84.

See more: How Is Bf3 Polar Or Nonpolar Or Ionic Compound? Is Bf3 Polar Or Nonpolar

GCF (49, 84) = 7

Register through us and also download BYJU’S – The Learning application to learn much more about the factors and also prime determinants with the help of interactive videos.