If you know the prime factorization of a number, you can find out the total number of factors.
Example: 210
21 x 31 x 51 x 71 = 210
Add one to the exponents and multiply them.
2 x 2 x 2 x 2 = 16, the total number of factors.
You know that 1, 2, 3, 5, and 7 are factors. You need three more to get halfway.
2 x 3 = 6
2 x 5 = 10
2 x 7 = 14
Divide all those numbers into 210.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Once all the prime factors of a number have been found, the number of factors the number has and what they are can be found. I'd be finding the prime factors first before finding all the factors of a number, so I'd rather find all the prime factors as it means I can stop before I have to do more work in finding all the factors.
Factoring can be simple. In order to find the factors of a number, a person finds all the numbers that divide into the number evenly.
All factors of a number
The procedure to find all factors of a number are: 1) Separate the number into prime factors. 2) Try out all combinations of those factors.
All of them. Different numbers have different numbers of factors.
That depends what number you are trying to find the factors of - all those three numbers are factors of the number 18.
1,3,9 and27
To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.
1,2,7,8,28,56
factor tree
No, but factors can.
1,2,3,4,6,9,12,18 are the factors of 36.