Q: What are the factor combinations of the number 42,162,661?

 A:
Positive:   1 x 4216266143 x 980527491 x 858711997 x 21113
Negative: -1 x -42162661-43 x -980527-491 x -85871-1997 x -21113


How do I find the factor combinations of the number 42,162,661?

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 42,162,661, 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 42,162,661
-1 -42,162,661

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 42,162,661.

Example:
1 x 42,162,661 = 42,162,661
and
-1 x -42,162,661 = 42,162,661
Notice both answers equal 42,162,661

With that explanation out of the way, let's continue. Next, we take the number 42,162,661 and divide it by 2:

42,162,661 ÷ 2 = 21,081,330.5

If the quotient is a whole number, then 2 and 21,081,330.5 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 42,162,661
-1 -42,162,661

Now, we try dividing 42,162,661 by 3:

42,162,661 ÷ 3 = 14,054,220.3333

If the quotient is a whole number, then 3 and 14,054,220.3333 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 42,162,661
-1 -42,162,661

Let's try dividing by 4:

42,162,661 ÷ 4 = 10,540,665.25

If the quotient is a whole number, then 4 and 10,540,665.25 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 42,162,661
-1 42,162,661
Keep dividing by the next highest number until you cannot divide anymore.

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

1434911,99721,11385,871980,52742,162,661
-1-43-491-1,997-21,113-85,871-980,527-42,162,661

More Examples

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