Q: What are the factor combinations of the number 42,241,313?

 A:
Positive:   1 x 4224131319 x 222322729 x 145659731 x 1362623551 x 76663589 x 71717899 x 469872473 x 17081
Negative: -1 x -42241313-19 x -2223227-29 x -1456597-31 x -1362623-551 x -76663-589 x -71717-899 x -46987-2473 x -17081


How do I find the factor combinations of the number 42,241,313?

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 42,241,313, 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 42,241,313
-1 -42,241,313

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 42,241,313.

Example:
1 x 42,241,313 = 42,241,313
and
-1 x -42,241,313 = 42,241,313
Notice both answers equal 42,241,313

With that explanation out of the way, let's continue. Next, we take the number 42,241,313 and divide it by 2:

42,241,313 ÷ 2 = 21,120,656.5

If the quotient is a whole number, then 2 and 21,120,656.5 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 42,241,313
-1 -42,241,313

Now, we try dividing 42,241,313 by 3:

42,241,313 ÷ 3 = 14,080,437.6667

If the quotient is a whole number, then 3 and 14,080,437.6667 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 42,241,313
-1 -42,241,313

Let's try dividing by 4:

42,241,313 ÷ 4 = 10,560,328.25

If the quotient is a whole number, then 4 and 10,560,328.25 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 42,241,313
-1 42,241,313
Keep dividing by the next highest number until you cannot divide anymore.

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

11929315515898992,47317,08146,98771,71776,6631,362,6231,456,5972,223,22742,241,313
-1-19-29-31-551-589-899-2,473-17,081-46,987-71,717-76,663-1,362,623-1,456,597-2,223,227-42,241,313

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