Write the number as a product of primes. See Example 1.EXAMPLE 1 Write each of the followi...

Write the number as a product of primes. See Example 1.

EXAMPLE 1 Write each of the following numbers as a product of primes.

a. 40

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b. 63

Solution

a. First, write 40 as the product of any two whole numbers other than 1.

40 = 4 · 10

Next, factor each of these numbers. Continue this process until all of the factors are prime numbers.

All the factors are now prime numbers. Then 40 written as a product of primes is

40 = 2 · 2 · 2 · 5

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b.

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