Q: What are the factor combinations of the number 400,715,707?

 A:
Positive:   1 x 4007157077 x 5724510129 x 13817783203 x 1973969733 x 5466792693 x 1487995131 x 7809718851 x 21257
Negative: -1 x -400715707-7 x -57245101-29 x -13817783-203 x -1973969-733 x -546679-2693 x -148799-5131 x -78097-18851 x -21257


How do I find the factor combinations of the number 400,715,707?

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 400,715,707, 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.

1 400,715,707
-1 -400,715,707

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 400,715,707.

Example:
1 x 400,715,707 = 400,715,707
and
-1 x -400,715,707 = 400,715,707
Notice both answers equal 400,715,707

With that explanation out of the way, let's continue. Next, we take the number 400,715,707 and divide it by 2:

400,715,707 ÷ 2 = 200,357,853.5

If the quotient is a whole number, then 2 and 200,357,853.5 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:

1 400,715,707
-1 -400,715,707

Now, we try dividing 400,715,707 by 3:

400,715,707 ÷ 3 = 133,571,902.3333

If the quotient is a whole number, then 3 and 133,571,902.3333 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:

1 400,715,707
-1 -400,715,707

Let's try dividing by 4:

400,715,707 ÷ 4 = 100,178,926.75

If the quotient is a whole number, then 4 and 100,178,926.75 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:

1 400,715,707
-1 400,715,707
Keep dividing by the next highest number until you cannot divide anymore.

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

17292037332,6935,13118,85121,25778,097148,799546,6791,973,96913,817,78357,245,101400,715,707
-1-7-29-203-733-2,693-5,131-18,851-21,257-78,097-148,799-546,679-1,973,969-13,817,783-57,245,101-400,715,707

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