Factoring Calculator #factor #calculator, #find #factors #of #a #number, #factorization


Factoring Calculator

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How to Factor Numbers: Factorization

This factors calculator factors numbers by trial division. Follow these steps to use trial division to find the factors of a number.

  1. Find the square root of the integer number n and round up to the next whole number. Let’s call this number s .
  2. Start with the number 1 and find the corresponding factor pair: n 1 = n. So 1 and n are a factor pair because division results in a whole number with zero remainder.
  3. Do the same with the number 2 and proceed testing all integers (n 2, n 3, n 4. n s ) up through the square root rounded to s. Record the factor pairs where division results in whole integer numbers with zero remainders.
  4. When you reach n s and you have recorded all factor pairs you have successfully factored the number n .

Example Factorization Using Trial Division

  • The square root of 18 is 4.2426, rounded up to the next whole number is 5
  • Testing the integer values 1 through 5 for division into 18 we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.

Factors of Negative Numbers

All of the above information and methods apply to factoring negative numbers. Just be sure to follow the rules of multiplying and dividing negative numbers to find all factors of negative numbers. For example, the factors of -6 are (1, -6), (-1, 6), (2, -3), (-2, 3). See the Math Equation Solver Calculator and the section on Rules for Multiplication Operations .

Related Factoring Calculators

See our Common Factors Calculator to find all factors of a set of numbers and learn which are the common factors.

The Greatest Common Factor Calculator finds the greatest common factor (GCF) or greatest common divisor (GCD) of a set of numbers.

See the Least Common Denominator Calculator to find the lowest common denominator for fractions, integers and mixed numbers.

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Greatest Common Factor Calculator

In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b. is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a, b). For example, GCF(32, 256) = 32.

There are multiple ways to find the greatest common factor of given integers. One of these involves computing the prime factorizations of each integer, determining which factors they have in common, and multiplying these factors to find the GCD. Refer to the example below.

GCF(16, 88, 104)
16 = 2 2 2 2 = 24
88 = 2 2 2 11 = 23 11
104 = 2 2 2 13
GCF(16, 88, 104) = 23 = 8

Prime factorization is only efficient for smaller integer values. Larger values would make the prime factorization of each and the determination of the common factors, far more tedious.

Another method used to determine the GCF involves using the Euclidean algorithm. This method is a far more efficient method than the use of prime factorization. The Euclidean algorithm uses a division algorithm combined with the observation that the GCD of two integers can also divide their difference. The algorithm is as follows:

GCF(a, a) = a
GCF(a, b) = GCF(a-b, b), when a > b
GCF(a, b) = GCF(a, b-a), when b > a

  1. Given two positive integers, a and b, where a is larger than b. subtract the smaller number b from the larger number a. to arrive at the result c .
  2. Continue subtracting b from a until the result c is smaller than b .
  3. Use b as the new large number, and subtract the final result c. repeating the same process as in Step 2 until the remainder is 0.
  4. Once the remainder is 0, the GCF is the remainder from the step preceding the zero result.

GCF(268442, 178296)
268442 – 178296 = 90146
178296 – 90146 = 88150
90146 – 88150 = 1996
88150 – 1996 44 = 326
1996 – 326 6 = 40
326 – 40 8 = 6
6 – 4 = 2
4 – 2 2 = 0

From the example above, it can be seen that GCF(268442, 178296) = 2. If more integers were present, the same process would be performed to find the GCF of the subsequent integer and the GCF of the previous two integers. Referring to the previous example, if instead the desired value were GCF(268442, 178296, 66888), after having found that GCF(268442, 178296) is 2, the next step would be to calculate GCF(66888, 2). In this particular case, it is clear that the GCF would also be 2, yielding the result of GCF(268442, 178296, 66888) = 2.

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Invoice Factoring -an advance on money due to you from a business


Invoice Factoring

Its what your looking for

What is factoring:

Invoice factoring is essentially an advance on money / cash due to a business, by means of the sale of the invoices to a bridging company. This is not a loan against invoices but an outright sale of selected invoices ( one or many ) or the full debtors book, to a bridging finance company, but with recourse to the seller of the full invoice value.

Why use single invoice factoring or selective invoice discounting

This is a very simple and reasonably quick method (within 2 weeks of receipt of all documents) used by businesses to improve cash flow or working capital as and when needed. There is no lock in period and no penalty for early settlement. You elect to bridge one or a few invoices not the entire debtors book.

Costs Once

Once off set up fee of approx 3 % to 5 % depending on the size of the invoice bridging required. Monthly cost of between 4,5 % and 6 %

Pre-Conditions to Discount Invoices:
The goods /services must have been delivered / rendered and the customer must have accepted the goods / services with no pending disputes. The company requesting the bridging should be profitable and have a clean credit record.

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