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# How to factorize into simple factors

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Any composite number can be represented as a product of prime numbers. Such a representation is called a prime factorization.

The factorization is useful when reducing fractions.

You will need

• - table of prime numbers

Instructions

1

Put a table of prime numbers in front of you. Simple numbers are numbers which, in integer division, are divided only into themselves and into one unit.

2

Look for a simple number from the table that wasWould be a divisor for a given composite number. Use known signs of divisibility of numbers or simply try to divide a compound number into idle time.

3

Once you find the divider, divide the compoundNumber on it. Then continue looking for a simple divisor for the resulting quotient. Start again from the beginning of the table. Continue the process until a simple number is left as a result of the division. Write it down and the previously found simple dividers.

4

For example, decompose into simple Multipliers Number 1197. On the basis of divisibility, the number is divided by 3, since the sum of the digits in it 1 + 1 + 9 + 7 = 18 is divided by 3 and even by 9. Thus, the first two prime divisors 3 and 3, divide the number into them: 1197: 3 = 399, 399: 3 = 133. Now, look for a simple divisor for the number 133. Obviously, it is not divisible by 2, 3 and 5, try dividing by 7. It turns out 133: 7 = 19. As a result of division, a prime number of 19 is obtained, so That the decomposition is complete and looks like this: 1197 = 3 * 3 * 7 * 19.

How to factorize into simple factors Was last modified: May 23rd, 2017 By
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