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You can reduce the number by known factors to make it more manageable. Plus there are tricks for different numbers: If the number is even, then 2 is a factor. If the digits add up to a multiple of 3 then 3 is a factor. If the ones digit is a 5 or 0 (with a tens digit greater than or equal to 1), then 5 is a factor. If the ones digit is a 0 then 10 is a factor. If the digits have the property that the first minus the second, plus the third, minus the fourth, (alternating signs) equals 0, then 11 is a factor. There are other tricks but these factors would be the most common.

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Q: What is an easier way to find the factors of a number?
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If a mystery number is even how would you find its second largest factor?

There is no easy way. You can keep dividing the number by 2 but then you could be left with a large number which may be the product of two very large primes. There is no simple way to find the factors of such a composite number, and that is why they are used for data encryption.


How do you find factor pairs of a number?

Factor pairs are just the factors of a number listed in a different way. The factors of 20 are 1, 2, 4, 5, 10, 20 The factor pairs of 20 are (20,1)(10,2)(5,4)


What are the common factors of 3 and 4?

A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 3 are 1 and 3. The factors of 4 are 1, 2, and 4. The only common factor is 1.


What are the common factors of 27 and 38?

A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors (and greatest common factor) is to find all the factors of the numbers and compare them. The factors of 27 are 1, 3, 9, and 27. The factors of 38 are 1, 2, 19, and 38. The only common factor is 1 .


What are the common factors of 35 and 42?

A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors (and greatest common factor) is to find all the factors of the numbers and compare them. The factors of 35 are 1, 5, 7, and 35. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The common factors are 1 and 7.