Factors of 102 –
We have to find the factors of number 102. Factors are the numbers which when divided by number 102 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 102:
1) Firstly we divide given number 102 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 102:
Here,
We get factors of 104 are 1, 2, 3, 6, 17, 34, 51 and 102.
We know,
A number which has more than two factors is called composite number.
A number 102 has more than two factors.
Hence, 102 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 102we get 2,3&17are the prime number.
Now we find prime factorization of 102by using LCM.
Prime factors of 102 = 2 ×3×17
Prime factors of 102 = 2×3×17
There are 8factors of 102i. 1, 2, 3, 6, 17, 34, 51 and 102.
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 104: 1 × 102 = 102
2 × 51 = 102
3 × 34 = 102
Pairs of factors of 102= (1, 104), (2, 52) and (3, 34)
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 102: (1, 102), (2, 51) and (3, 34)
All factors of 102 =
- Prime factor of 102= 2×3×17
- Sum of all factors of 102 = 1+2+3+ 6+ 17+ 34+ 51 + 102=215
- Pairs of factors of 102:(1, 102), (2, 51) and (3, 34) is same.