Question

what is the finding factor of a number ????

Answer 1

A number's factors are numbers which multiply together to form it as a product. 


Method 1 Factoring Basic Integers

Write your number. ...Find two more numbers that multiply to make your first number. ...Determine whether any of your factors can be factored again. ...Stop factoring when you reach prime numbers. ...Factor negative numbers in the same way.




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Answer 2

A number's factors are numbers which multiply together to form it as a product. Another way of thinking of this is that every number is the product of multiple factors. Learning how to factor - that is, break up a number into its component factors - is an important mathematical skill that is used not only in basic arithmetic but also in algebra, calculus, and beyond. See Step 1 below to start learning how to factor!

Method One of Two:
Factoring Basic Integers

1

Write your number. To begin factoring, all you need is a number - any number will do, but, for our purposes, let's start with a simple integer. Integers are numbers without fractional or decimal components (all positive and negative whole numbers are integers).Let's choose the number 12. Write this number down on a piece of scratch paper

Find two more numbers that multiply to make your first number. Any integer can be written as the product of two other integers. Even prime numbers can be written as the product of 1 and the number itself. Thinking of a number as the product of two factors can require "backwards" thinking - you essentially must ask yourself, "what multiplication problem equals this number?"In our example, 12 has multiple factors - 12 × 1, 6 × 2, and 3 × 4 all equal 12. So, we can say that 12's factors are 1, 2, 3, 4, 6, and 12. For our purposes, let's work with the factors 6 and 2.Even numbers are especially easy to factor because every even number has 2 as a factor. 4 = 2 × 2, 26 = 13 × 2, etc.

3

Determine whether any of your factors can be factored again. Lots of numbers - especially large ones - can be factored multiple times. When you've found two of a number's factors, if one has its own set of factors, you can reduce thisnumber to its factors as well. Depending on the situation, it may or may not be beneficial to do this.For instance, in our example, we have reduced 12 to 2 × 6. Notice that 6 has its own factors - 3 × 2 = 6. Thus, we can say that 12 = 2 × (3 × 2).

4

Stop factoring when you reach prime numbers. Prime numbers are numbers greater than 1 that are evenly divisible only by themselves and 1. For instance, 2, 3, 5, 7, 11, 13, and 17 are all prime numbers. When you've factored a number so that it's the product of exclusively prime numbers, further factoring is superfluous. It does you no good to reduce each factor to itself times one, so you may stop.In our example, we've reduced 12 to 2 × (2 × 3). 2, 2, and 3 are all prime numbers. If we were to factor further, we'd have to factor to (2 × 1) × ((2 × 1)(3 × 1)), which isn't typically useful, so it's usually avoided.

5

Factor negative numbers in the same way. Negative numbers can be factored nearly identically to how positive numbers are factored. The sole difference is that the factors must multiply together to make a negative number as their product, so an odd number of the factors must be negative.For example, let's factor -60. See below:-60 = -10 × 6-60 = (-5 × 2) × 6-60 = (-5 × 2) × (3 × 2)-60 = -5 × 2 × 3 × 2. Note that having an odd number of negative numbers besides one will give the same product. For example, -5 × 2 × -3 × -2 also equals 60.