Q: What are the factor combinations of the number 71,377,439?

 A:
Positive:   1 x 713774397 x 1019677729 x 2461291203 x 351613587 x 121597599 x 1191614109 x 173714193 x 17023
Negative: -1 x -71377439-7 x -10196777-29 x -2461291-203 x -351613-587 x -121597-599 x -119161-4109 x -17371-4193 x -17023


How do I find the factor combinations of the number 71,377,439?

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 71,377,439, 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 71,377,439
-1 -71,377,439

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 71,377,439.

Example:
1 x 71,377,439 = 71,377,439
and
-1 x -71,377,439 = 71,377,439
Notice both answers equal 71,377,439

With that explanation out of the way, let's continue. Next, we take the number 71,377,439 and divide it by 2:

71,377,439 ÷ 2 = 35,688,719.5

If the quotient is a whole number, then 2 and 35,688,719.5 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 71,377,439
-1 -71,377,439

Now, we try dividing 71,377,439 by 3:

71,377,439 ÷ 3 = 23,792,479.6667

If the quotient is a whole number, then 3 and 23,792,479.6667 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 71,377,439
-1 -71,377,439

Let's try dividing by 4:

71,377,439 ÷ 4 = 17,844,359.75

If the quotient is a whole number, then 4 and 17,844,359.75 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 71,377,439
-1 71,377,439
Keep dividing by the next highest number until you cannot divide anymore.

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

17292035875994,1094,19317,02317,371119,161121,597351,6132,461,29110,196,77771,377,439
-1-7-29-203-587-599-4,109-4,193-17,023-17,371-119,161-121,597-351,613-2,461,291-10,196,777-71,377,439

More Examples

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