Q: What are the factor combinations of the number 700,741,877?

 A:
Positive:   1 x 70074187711 x 6370380729 x 24163513319 x 2196683389 x 18013934279 x 1637635647 x 12409111281 x 62117
Negative: -1 x -700741877-11 x -63703807-29 x -24163513-319 x -2196683-389 x -1801393-4279 x -163763-5647 x -124091-11281 x -62117


How do I find the factor combinations of the number 700,741,877?

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 700,741,877, 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.

1 700,741,877
-1 -700,741,877

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 700,741,877.

Example:
1 x 700,741,877 = 700,741,877
and
-1 x -700,741,877 = 700,741,877
Notice both answers equal 700,741,877

With that explanation out of the way, let's continue. Next, we take the number 700,741,877 and divide it by 2:

700,741,877 ÷ 2 = 350,370,938.5

If the quotient is a whole number, then 2 and 350,370,938.5 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:

1 700,741,877
-1 -700,741,877

Now, we try dividing 700,741,877 by 3:

700,741,877 ÷ 3 = 233,580,625.6667

If the quotient is a whole number, then 3 and 233,580,625.6667 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:

1 700,741,877
-1 -700,741,877

Let's try dividing by 4:

700,741,877 ÷ 4 = 175,185,469.25

If the quotient is a whole number, then 4 and 175,185,469.25 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:

1 700,741,877
-1 700,741,877
Keep dividing by the next highest number until you cannot divide anymore.

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

111293193894,2795,64711,28162,117124,091163,7631,801,3932,196,68324,163,51363,703,807700,741,877
-1-11-29-319-389-4,279-5,647-11,281-62,117-124,091-163,763-1,801,393-2,196,683-24,163,513-63,703,807-700,741,877

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