Q: What are the factor combinations of the number 700,171,043?

 A:
Positive:   1 x 70017104311 x 6365191313 x 53859311143 x 4896301379 x 18474174169 x 1679474927 x 14210912919 x 54197
Negative: -1 x -700171043-11 x -63651913-13 x -53859311-143 x -4896301-379 x -1847417-4169 x -167947-4927 x -142109-12919 x -54197


How do I find the factor combinations of the number 700,171,043?

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 700,171,043, 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.

1 700,171,043
-1 -700,171,043

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 700,171,043.

Example:
1 x 700,171,043 = 700,171,043
and
-1 x -700,171,043 = 700,171,043
Notice both answers equal 700,171,043

With that explanation out of the way, let's continue. Next, we take the number 700,171,043 and divide it by 2:

700,171,043 ÷ 2 = 350,085,521.5

If the quotient is a whole number, then 2 and 350,085,521.5 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:

1 700,171,043
-1 -700,171,043

Now, we try dividing 700,171,043 by 3:

700,171,043 ÷ 3 = 233,390,347.6667

If the quotient is a whole number, then 3 and 233,390,347.6667 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:

1 700,171,043
-1 -700,171,043

Let's try dividing by 4:

700,171,043 ÷ 4 = 175,042,760.75

If the quotient is a whole number, then 4 and 175,042,760.75 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:

1 700,171,043
-1 700,171,043
Keep dividing by the next highest number until you cannot divide anymore.

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

111131433794,1694,92712,91954,197142,109167,9471,847,4174,896,30153,859,31163,651,913700,171,043
-1-11-13-143-379-4,169-4,927-12,919-54,197-142,109-167,947-1,847,417-4,896,301-53,859,311-63,651,913-700,171,043

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