How can you use ' factorization to determine if 738 is evenly divisible by 14?

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How can you use &#039; factorization to determine if 738 is evenly divisible by 14?

mar1nerne · Accepted Answer

Step 1It is difficult to divide 738 by 14 without a calculator, but it is easy to see, that:      14    =    2    ⋅    7  So if 738 was to divide by 14 it would have to divide by both 2 and 7It is an even number, so it divides by 2, but it does not divide by 7. We can see this if we write      738    =    700    +    38  Step 2700 clearly divides by 7 but 38 does not, because it lies between 2 consecutive multiples of       35    &amp;lt;    38    &amp;lt;    42  So because 738 does not divide by 7 it cannot divide by 14.This example shows that to check if one number divides by the other you can find the &#039; factorization of the second number and check if the first number divides by all &#039; factors of the second one.

How can you use ' factorization to determine if 738

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