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
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.
1,3,9 and27
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.
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
1,2,3,4,6,9,12,18 are the factors of 36.
No, but factors can.
factor tree
-- List all factors of the first number. -- List all factors of the second number. -- If there are more than two numbers, list all factors of each one. -- Find the set of factors that are on every list. -- Find the greatest factor in the set.