Q: What are the factor combinations of the number 139,230,715?

 A:
Positive:   1 x 1392307155 x 2784614313 x 1071005565 x 21420111151 x 1209651861 x 748155755 x 241939305 x 14963
Negative: -1 x -139230715-5 x -27846143-13 x -10710055-65 x -2142011-1151 x -120965-1861 x -74815-5755 x -24193-9305 x -14963


How do I find the factor combinations of the number 139,230,715?

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 139,230,715, 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.

1 139,230,715
-1 -139,230,715

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 139,230,715.

Example:
1 x 139,230,715 = 139,230,715
and
-1 x -139,230,715 = 139,230,715
Notice both answers equal 139,230,715

With that explanation out of the way, let's continue. Next, we take the number 139,230,715 and divide it by 2:

139,230,715 ÷ 2 = 69,615,357.5

If the quotient is a whole number, then 2 and 69,615,357.5 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:

1 139,230,715
-1 -139,230,715

Now, we try dividing 139,230,715 by 3:

139,230,715 ÷ 3 = 46,410,238.3333

If the quotient is a whole number, then 3 and 46,410,238.3333 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:

1 139,230,715
-1 -139,230,715

Let's try dividing by 4:

139,230,715 ÷ 4 = 34,807,678.75

If the quotient is a whole number, then 4 and 34,807,678.75 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:

1 139,230,715
-1 139,230,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651,1511,8615,7559,30514,96324,19374,815120,9652,142,01110,710,05527,846,143139,230,715
-1-5-13-65-1,151-1,861-5,755-9,305-14,963-24,193-74,815-120,965-2,142,011-10,710,055-27,846,143-139,230,715

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