Q: What are the factor combinations of the number 156,867,721?

 A:
Positive:   1 x 15686772117 x 922751397 x 1617193251 x 624971379 x 4138991649 x 951294267 x 367636443 x 24347
Negative: -1 x -156867721-17 x -9227513-97 x -1617193-251 x -624971-379 x -413899-1649 x -95129-4267 x -36763-6443 x -24347


How do I find the factor combinations of the number 156,867,721?

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 156,867,721, 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.

1 156,867,721
-1 -156,867,721

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 156,867,721.

Example:
1 x 156,867,721 = 156,867,721
and
-1 x -156,867,721 = 156,867,721
Notice both answers equal 156,867,721

With that explanation out of the way, let's continue. Next, we take the number 156,867,721 and divide it by 2:

156,867,721 ÷ 2 = 78,433,860.5

If the quotient is a whole number, then 2 and 78,433,860.5 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:

1 156,867,721
-1 -156,867,721

Now, we try dividing 156,867,721 by 3:

156,867,721 ÷ 3 = 52,289,240.3333

If the quotient is a whole number, then 3 and 52,289,240.3333 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:

1 156,867,721
-1 -156,867,721

Let's try dividing by 4:

156,867,721 ÷ 4 = 39,216,930.25

If the quotient is a whole number, then 4 and 39,216,930.25 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:

1 156,867,721
-1 156,867,721
Keep dividing by the next highest number until you cannot divide anymore.

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

117972513791,6494,2676,44324,34736,76395,129413,899624,9711,617,1939,227,513156,867,721
-1-17-97-251-379-1,649-4,267-6,443-24,347-36,763-95,129-413,899-624,971-1,617,193-9,227,513-156,867,721

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