Q: What are the factor combinations of the number 42,065,305?

 A:
Positive:   1 x 420653055 x 841306153 x 793685181 x 232405265 x 158737877 x 47965905 x 464814385 x 9593
Negative: -1 x -42065305-5 x -8413061-53 x -793685-181 x -232405-265 x -158737-877 x -47965-905 x -46481-4385 x -9593


How do I find the factor combinations of the number 42,065,305?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 42,065,305, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 42,065,305
-1 -42,065,305

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,065,305.

Example:
1 x 42,065,305 = 42,065,305
and
-1 x -42,065,305 = 42,065,305
Notice both answers equal 42,065,305

With that explanation out of the way, let's continue. Next, we take the number 42,065,305 and divide it by 2:

42,065,305 ÷ 2 = 21,032,652.5

If the quotient is a whole number, then 2 and 21,032,652.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,065,305
-1 -42,065,305

Now, we try dividing 42,065,305 by 3:

42,065,305 ÷ 3 = 14,021,768.3333

If the quotient is a whole number, then 3 and 14,021,768.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,065,305
-1 -42,065,305

Let's try dividing by 4:

42,065,305 ÷ 4 = 10,516,326.25

If the quotient is a whole number, then 4 and 10,516,326.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,065,305
-1 42,065,305
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15531812658779054,3859,59346,48147,965158,737232,405793,6858,413,06142,065,305
-1-5-53-181-265-877-905-4,385-9,593-46,481-47,965-158,737-232,405-793,685-8,413,061-42,065,305

More Examples

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