Factors that 98 are integers that deserve to be divided evenly into 98. There are overall 6 determinants of 98 amongst which 98 is the best factor and also 1, 2, 7, 14, 49 and also 98 are positive factors. The Pair factors of 98 are (1, 98), (2, 49) and (7, 14) and also its Prime factors are 1, 2, 7, 14, 49, 98.
You are watching: What are all the factors of 98
| 1. | What are the components of 98? |
| 2. | Important Notes |
| 3. | How to calculate the factors of 98? |
| 4. | Factors the 98 by prime Factorization |
| 5. | Factors of 98 in Pairs |
| 6. | FAQs on determinants of 98 |
| 7. | Tips and Tricks |
What space the components of 98?
The factor of 98 is any number i beg your pardon on dividing 98 pipeline no remainder. Due to the fact that 98 is a composite number, it has much more than two factors. 98 has actually a full of 6 factors. The Factors the 98 are 1, 2, 7, 14, 49, and also 98
Example: We have the right to use division to examine whether 2, 7, and 49 are components of 98. Together they leave no remainder, lock are certainly the determinants of 98.
Important Notes
Only totality numbers and also integers can be factors.Only composite numbers have the right to have much more than two factors.Every element of a provided number is either much less than or equal to the provided number.The number of factors of a given number is finite.How to calculate the factors of 98?
There room two common methods to find the determinants of 98.Method 1: department methodMethod 2: prime factorization method
Let us calculate factors of 98 using the department method.In considering numbers that deserve to divide 98 without remainders, we begin 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 not divisible 98 ÷4 ⇒ is no divisible98 ÷5 ⇒ is not divisible98 ÷6 ⇒ is no divisible98 ÷7 = 14; 7 and 14 are factors.Thus, the factors of 98 space 1, 2, 7, 14, 49, and 98.
Factors that 98 by prime Factorization
Factorization that a number means writing the number as a product that its factors. Prime Factorization is finding which element numbers multiply with each other to do the initial number. The prime factors of 98 are created as 2 x 7 x 7, wherein 2 and 7 are prime numbers.
The same department process is finest represented in the form of a factor tree. A element tree is a special branching diagram where we uncover the determinants of a number, then store on detect the determinants of those numbers until we cannot element them anymore.
The end of a variable tree space all the prime factors of the original number as shown in the image
The prime factorization of 98 is created as 2 × 7 × 7 or 2 × 72.
Factors of 98 in pairs
Pair determinants of the number 98 are any two whole numbers (pair) which room multiplied to every other to acquire the original number, i.e., 98.Pair factors can either be hopeful or negative integers but not a fountain or a decimal number.| 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 element factorization of 98 = 2 x 7 x 7 = 21 x 72
To obtain the total numbers of components of 98, simply add one come the exponents and also multiply their sums. (1 + 1) x (2 + 1) = 6
Thus, 98 has actually a complete of 6 factors.
Solved Examples
Example 2 Ellie desire to discover out every the common factors that 98, 72, and also 61. Just how many typical factors will certainly she get?
Solution
Factors the 98: 1, 2, 7, 14, 49, and also 98
Factors the 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and also 72
Factors that 61: 1 and 61
The only usual factor among 98, 72, and 61 is 1.
Example 3: How many factors room there for 98?
Solution:
The determinants of 98 space 1, 2, 7, 14, 49, 98. Therefore, 98 has actually 6 factors.
Show Solution
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FAQs on factors of 98
What space the components of 98?
The components of 98 space 1, 2, 7, 14, 49, 98 and its an unfavorable factors space -1, -2, -7, -14, -49, -98.
What is the Greatest typical Factor the 98 and also 16?
The components of 98 and 16 room 1, 2, 7, 14, 49, 98 and also 1, 2, 4, 8, 16 respectively.Common determinants of 98 and also 16 room <1, 2>.Hence, the Greatest usual Factor (GCF) the 98 and 16 is 2.
What is the amount of every the components of 98?
Since all factors of 98 are 1, 2, 7, 14, 49, 98 therefore, the sum of its factors is 1 + 2 + 7 + 14 + 49 + 98 = 171.
See more: How Many Ounches In A Pint ? Pints To Ounces (Oz) Converter
How many Factors that 98 are likewise Factors that 45?
Since, the factors of 98 room 1, 2, 7, 14, 49, 98 and also factors of 45 room 1, 3, 5, 9, 15, 45. Hence, 98 and 45 have only one common factor i m sorry is 1. Therefore, 98 and also 45 room co-prime.