How To Find out the Factors of 34 –
We have to find the factors of number 34. Factors are the numbers which when divided by number 34 we get the factors.
When we make pair of factors the multiplication of pair of factors gives the given number.
Steps to find Factors of 34:
1) Firstly we divide given number 34 to get remainder 0.
2) After getting answers all numbers we get are called Factors of given number.
3) 1 is the only number having factor of all numbers.
4) The given number itself is the highest factor of given number.
We find factors of 34:
Here,
We get factors of 34 are 1, 2, 17 and 34.
We know,
A number which has more than two factors is called composite number.
A number 34 has more than two factors.
Hence, 34 is composite number.
Also We know,
A number which is not divided by any other number is called prime number.
In factors of 34 we get 2and 17 are the prime number.
Now we find prime factorization of 34 by using LCM.
Prime factors of 34 = 2 x 17
Prime factors of 22 = 2 x 17
There are 4 factors of 34 i.e. 1, 2, 17 and 34.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 34: 1 x 34, 2 x 17.
Pairs of factors of 34: (1, 34) and (2, 17)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 34: (34, 1) and (17, 2) is also same.
- All factors of 34 = 1, 2, 17, 34.
- Prime factor of 34 = 2 x 17
- Sum of all factors of 34 = 1 + 2 + 17 + 34 = 54
- Pairs of factors of 34: (1, 34) and (2,17) also (34, 1) and (17, 2)