factors-of-17
factors of 17


What are the factors of 17?

Factors of 17: 1, 17
Negative factors: -1, -17
Pairs of factors: 1×17
Prime factors: 17
Number of positive factors: 2
Number of Negative factors: 2
A total number of factors = 4


Definition of factors in math

Multiplying two whole numbers to get the original/product number and a whole number that divides exactly into another number that is called factoring.


Factors of 17 in pairs

17 has only two factors because it is a prime number, it can only be divided by 1 and itself.
 We can find the Factors of 17 by multiplying two whole numbers in a pair to get the result 17.

Multiply by (1)       1 × 17 = 17

There are no more possible pairs so we have all the factors in question.
Factors pairs of 17 = (1×17)
Add all these to our factors list
Factors list: -
1
17


Prime Factorization Of 17

Step 1: - We divide the given number(17) by the smallest prime number that divides the number exactly. We can easily divide 17 by the smallest prime number 17.
 17/17 = 1

 Step 2: - Divide the quotient again by the smallest or the next smallest prime number. We will repeat this process repeatedly until the quotient becomes 1.
17 ÷ 17 = 1

Prime factors are: -
17
Multiply all prime factors: -
17 = 17

Multiples of 17: - 

17   ×   1   =   17
17   ×   2   =   34
17   ×   3   =   51
17   ×   4   =   68
17   ×   5   =   85
17   ×   6   =   102
17   ×   7   =   119
17   ×   8   =   136
17   ×   9   =   153
17   ×   10   =   170


How many factors of 17?

17 has 2 factors (1, 17) and 4 with negative factors (-1, -17)

How many odd and even factors of 17?
17 has (2) odd factors (1, 17) and (0) even factors.

How to find the number of odd factors?

Step 1: - At, first find the prime factorization of given number.
17 = 17

Step 2: - Express them into exponential form.
17^1

Step 3: - To find the number of odd factors, you always have to write the exponent (1) in the base of 2. But in this case you do not have 2, so avoid this. And then add (+1) in all other exponents.

Step 4: - Leave the base and multiply all exponents.
^1+1 = ^2
Answer. The total number of odd factors is 2.

How to find the sum of odd factors?

The first two steps are the same, factorization of the given number and expressing them in to exponential form.
17 = 17
17 = 17^1

If you want to find the sum of odd factors, you always have to write (0) in the exponent of 2. But in this case you do not have 2, so avoid this. And besides them start all bases of the exponent from (0) and move up to maximum power of base and solve them.
17^0 + 17^1
1 + 17 =18
Answer. The sum of odd factors is 18.

Odd factors of 17
1, 17
Sum of odd factors
1 + 17 = 18

Even factors of 17

Sum of even factors
 = 0


How to find the total number of factors?

Step 1: - At, first find the prime factorization of given number.
17 = 17

Step 2: - Express them into exponential form.
17 = 17^1

Step 3: - Leave the base (17) and raise all exponent by (+1) one.
^1+1 =  ^2

Answer: Total number of factor is 2

How to find the sum of total factors?

The first two steps are the same, factorization of the given number and expressing them in to exponential form.
17 = 17

Start all bases of the exponent from (0) and move up to the maximum power of base and solve them.
17^0 + 17^1
1 + 17 = 18
Answer. The sum of total factors is 18.

All factors of 17
1, 17
Sum of all factors
1 + 17 = 18
See more questions: -

Q. Is 17 a composite number?

No! 17 is not a composite number.

Q. Is 17 a prime number?

Yes! 17 is a prime number.

Q. Is 17 a perfect square?

No! 17 is not a square number.

Q. Is 17 an even number?

No! 17 is not an even number.

Q. Is 17 an odd number?

Yes! 17 is an odd number.

Q. Is 17 a rational number?

Yes! 17 is a rational number.

Q. Is 17 a irrational number?

No! 17 is not an irrational number.



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Thank you.