Q: What are the factor combinations of the number 700,187,435?

 A:
Positive:   1 x 7001874355 x 14003748747 x 14897605235 x 29795211091 x 6417852731 x 2563855455 x 12835713655 x 51277
Negative: -1 x -700187435-5 x -140037487-47 x -14897605-235 x -2979521-1091 x -641785-2731 x -256385-5455 x -128357-13655 x -51277


How do I find the factor combinations of the number 700,187,435?

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 700,187,435, 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.

1 700,187,435
-1 -700,187,435

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 700,187,435.

Example:
1 x 700,187,435 = 700,187,435
and
-1 x -700,187,435 = 700,187,435
Notice both answers equal 700,187,435

With that explanation out of the way, let's continue. Next, we take the number 700,187,435 and divide it by 2:

700,187,435 ÷ 2 = 350,093,717.5

If the quotient is a whole number, then 2 and 350,093,717.5 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:

1 700,187,435
-1 -700,187,435

Now, we try dividing 700,187,435 by 3:

700,187,435 ÷ 3 = 233,395,811.6667

If the quotient is a whole number, then 3 and 233,395,811.6667 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:

1 700,187,435
-1 -700,187,435

Let's try dividing by 4:

700,187,435 ÷ 4 = 175,046,858.75

If the quotient is a whole number, then 4 and 175,046,858.75 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:

1 700,187,435
-1 700,187,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15472351,0912,7315,45513,65551,277128,357256,385641,7852,979,52114,897,605140,037,487700,187,435
-1-5-47-235-1,091-2,731-5,455-13,655-51,277-128,357-256,385-641,785-2,979,521-14,897,605-140,037,487-700,187,435

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