Factors the 98 room integers that can be split evenly right into 98. Over there are in its entirety 6 components of 98 amongst which 98 is the greatest factor and also 1, 2, 7, 14, 49 and 98 are optimistic factors. The Pair determinants of 98 room (1, 98), (2, 49) and (7, 14) and also its Prime factors are 1, 2, 7, 14, 49, 98.

You are watching: Write 98 as a product of prime factors

Factors the 98: 1, 2, 7, 14, 49 and 98Negative components of 98: -1, -2, -7, -14, -49 and also -98Prime components of 98: 2, 7Prime administrate of 98: 2 × 7 × 7 = 2 × 72Sum of determinants of 98: 171
1.What room the factors of 98?
2.Important Notes
3.How to calculate the determinants of 98?
4.Factors the 98 by prime Factorization
5.Factors of 98 in Pairs
6.FAQs on factors of 98
7.Tips and also Tricks

What room the factors of 98?


The factor of 98 is any kind of number i m sorry on splitting 98 pipeline no remainder. Since 98 is a composite number, it has much more than 2 factors. 98 has actually a total of 6 factors. The Factors the 98 are 1, 2, 7, 14, 49, and also 98

Example: We deserve to use department to check whether 2, 7, and 49 are components of 98. As they leave no remainder, castle are without doubt the determinants of 98.

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Important Notes

Only totality numbers and integers have the right to be factors.Only composite numbers can have more than 2 factors.Every factor of a provided number is either much less than or same to the offered number.The variety of factors the a given number is finite.

How to calculation the determinants of 98?


There space two typical methods to uncover the determinants of 98.Method 1: department methodMethod 2: prime factorization method

Let us calculate determinants of 98 utilizing the division method.In considering numbers that deserve to divide 98 there is no remainders, we start with 1, then examine 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 4, 5, 6, 7, 8, 9, etc. Up to 49 (which is exactly half of 98).

98 ÷1 = 98; 1 and 98 are factors.98 ÷2 = 49; 2 and 49 are factors.98 ÷3 ⇒ is no divisible 98 ÷4 ⇒ is not divisible98 ÷5 ⇒ is no divisible98 ÷6 ⇒ is not divisible98 ÷7 = 14; 7 and also 14 are factors.

Thus, the components of 98 are 1, 2, 7, 14, 49, and 98.


Factors of 98 by prime Factorization


Factorization that a number means writing the number as a product the its factors. Prime Factorization is finding which prime numbers multiply together to do the original number. The prime determinants of 98 are created as 2 x 7 x 7, where 2 and 7 are prime numbers.

The same division process is finest represented in the type of a factor tree. A variable tree is a special branching diagram whereby we uncover the determinants of a number, then save on recognize the factors of those numbers until we cannot factor them anymore.

The ends of a variable tree are all the prime determinants of the initial number as presented in the image

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The element factorization of 98 is written as 2 × 7 × 7 or 2 × 72.


Factors that 98 in pairs

Pair components of the number 98 are any two whole numbers (pair) which room multiplied to each other to gain the initial number, i.e., 98.Pair factors can either be hopeful or an adverse integers but not a fountain or a decimal number.Positive variable PairsNegative factor Pairs
1 × 98 = 98 ⇒ (1,98)-1 × -98 = 98 ⇒ (-1,-98)
2 × 49 =98 ⇒ (2,49)-2 × -49 =98 ⇒ (-2,-49)
7 × 14 = 98 ⇒ (7,14)-7 × -14 = 98 ⇒ (-7,-14)

Tips and also Tricks

The prime factorization of 98 = 2 x 7 x 7 = 21 x 72

To acquire the complete numbers of components of 98, simply add one come the exponents and multiply their sums. (1 + 1) x (2 + 1) = 6 

Thus, 98 has actually a total of 6 factors.


Solved Examples


Example 2 Ellie wishes to find out all the common factors the 98, 72, and 61. Just how many typical factors will she get?

Solution

Factors of 98: 1, 2, 7, 14, 49, and also 98

Factors that 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

Factors that 61: 1 and also 61

The only common factor amongst 98, 72, and 61 is 1.


Example 3: How countless factors are there because that 98?

Solution:

The components of 98 are 1, 2, 7, 14, 49, 98. Therefore, 98 has actually 6 factors.


Show Solution

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FAQs on components of 98

What room the determinants of 98?

The components of 98 space 1, 2, 7, 14, 49, 98 and its negative factors room -1, -2, -7, -14, -49, -98.

What is the Greatest usual Factor that 98 and also 16?

The determinants of 98 and also 16 space 1, 2, 7, 14, 49, 98 and 1, 2, 4, 8, 16 respectively.Common determinants of 98 and 16 are <1, 2>.Hence, the Greatest common Factor (GCF) that 98 and also 16 is 2.

What is the sum of all the determinants of 98?

Since all factors of 98 space 1, 2, 7, 14, 49, 98 therefore, the sum of its factors is 1 + 2 + 7 + 14 + 49 + 98 = 171.

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How many Factors that 98 are also Factors the 45?

Since, the determinants of 98 are 1, 2, 7, 14, 49, 98 and also factors of 45 are 1, 3, 5, 9, 15, 45. Hence, 98 and also 45 have actually only one usual factor i m sorry is 1. Therefore, 98 and 45 space co-prime.