Q: What are the factor combinations of the number 71,468,789?

 A:
Positive:   1 x 714687897 x 1020982729 x 2464441203 x 352063233 x 3067331511 x 472991631 x 438196757 x 10577
Negative: -1 x -71468789-7 x -10209827-29 x -2464441-203 x -352063-233 x -306733-1511 x -47299-1631 x -43819-6757 x -10577


How do I find the factor combinations of the number 71,468,789?

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 71,468,789, 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 71,468,789
-1 -71,468,789

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 71,468,789.

Example:
1 x 71,468,789 = 71,468,789
and
-1 x -71,468,789 = 71,468,789
Notice both answers equal 71,468,789

With that explanation out of the way, let's continue. Next, we take the number 71,468,789 and divide it by 2:

71,468,789 ÷ 2 = 35,734,394.5

If the quotient is a whole number, then 2 and 35,734,394.5 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 71,468,789
-1 -71,468,789

Now, we try dividing 71,468,789 by 3:

71,468,789 ÷ 3 = 23,822,929.6667

If the quotient is a whole number, then 3 and 23,822,929.6667 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 71,468,789
-1 -71,468,789

Let's try dividing by 4:

71,468,789 ÷ 4 = 17,867,197.25

If the quotient is a whole number, then 4 and 17,867,197.25 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 71,468,789
-1 71,468,789
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032331,5111,6316,75710,57743,81947,299306,733352,0632,464,44110,209,82771,468,789
-1-7-29-203-233-1,511-1,631-6,757-10,577-43,819-47,299-306,733-352,063-2,464,441-10,209,827-71,468,789

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