Factors of 170
We have to find the factors of number 170. Factors are the numbers which when divided by number 170 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 170:
1) Firstly we divide given number 170 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 170:
Here,
We get factors of 170 are 1, 2, 5, 10, 17, 34, 85 and 170.
We know,
A number which has more than two factors is called composite number.
A number 170 has more than two factors.
Hence, 170 is composite number.
Also
We know,
A number which is not divided by any other number is called prime number.
In factors of 170 we get 2,5and 17 are the prime number.
Now we find prime factorization of 170 by using LCM.
Prime factors of 170 = 2 x 5 x 17
Prime factors of 170 =2^1 x 5^1 x 17^1
There are 8 factors of 170 i.e. 1, 2, 5, 10, 17, 34, 85 and 170
When we make pairs of factors the multiplication of that two factors is the given number itself.
Pairs of factors of 170: 1 × 170 = (1, 170)
2 × 85 = (2, 85)
5 × 34 = (5, 34)
10 × 17 = (10, 17)
Pairs of factors of 170: (1, 170) (2, 85), (5, 34), (10, 17).
We know Multiplication Property,
a x b = b x a
I.e. Pairs of factors of 170: (1, 170) (2, 85), (5, 34), (10, 17).
All factors of 170 =
- Prime factor of 170 = 2^1 x 5^1 x 17^1
Sum of all factors of 170 =1+ 2+ 5+ 10+ 17+ 34+ 85 + 170 =324
Pairs of factors of 170: (1, 170) (2, 85), (5, 34), (10, 17) and (170, 1) (85, 2), (34, 5), (17,10) is same.