Q: What are the factor combinations of the number 42,518,879?

 A:
Positive:   1 x 4251887913 x 327068347 x 90465753 x 802243101 x 420979169 x 251591611 x 69589689 x 617111313 x 323832491 x 170694747 x 89575353 x 7943
Negative: -1 x -42518879-13 x -3270683-47 x -904657-53 x -802243-101 x -420979-169 x -251591-611 x -69589-689 x -61711-1313 x -32383-2491 x -17069-4747 x -8957-5353 x -7943


How do I find the factor combinations of the number 42,518,879?

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 42,518,879, 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 42,518,879
-1 -42,518,879

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 42,518,879.

Example:
1 x 42,518,879 = 42,518,879
and
-1 x -42,518,879 = 42,518,879
Notice both answers equal 42,518,879

With that explanation out of the way, let's continue. Next, we take the number 42,518,879 and divide it by 2:

42,518,879 ÷ 2 = 21,259,439.5

If the quotient is a whole number, then 2 and 21,259,439.5 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 42,518,879
-1 -42,518,879

Now, we try dividing 42,518,879 by 3:

42,518,879 ÷ 3 = 14,172,959.6667

If the quotient is a whole number, then 3 and 14,172,959.6667 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 42,518,879
-1 -42,518,879

Let's try dividing by 4:

42,518,879 ÷ 4 = 10,629,719.75

If the quotient is a whole number, then 4 and 10,629,719.75 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 42,518,879
-1 42,518,879
Keep dividing by the next highest number until you cannot divide anymore.

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

11347531011696116891,3132,4914,7475,3537,9438,95717,06932,38361,71169,589251,591420,979802,243904,6573,270,68342,518,879
-1-13-47-53-101-169-611-689-1,313-2,491-4,747-5,353-7,943-8,957-17,069-32,383-61,711-69,589-251,591-420,979-802,243-904,657-3,270,683-42,518,879

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