Q: What are the factor combinations of the number 71,202,685?

 A:
Positive:   1 x 712026855 x 1424053729 x 2455265145 x 491053181 x 393385905 x 786772713 x 262455249 x 13565
Negative: -1 x -71202685-5 x -14240537-29 x -2455265-145 x -491053-181 x -393385-905 x -78677-2713 x -26245-5249 x -13565


How do I find the factor combinations of the number 71,202,685?

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 71,202,685, 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 71,202,685
-1 -71,202,685

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 71,202,685.

Example:
1 x 71,202,685 = 71,202,685
and
-1 x -71,202,685 = 71,202,685
Notice both answers equal 71,202,685

With that explanation out of the way, let's continue. Next, we take the number 71,202,685 and divide it by 2:

71,202,685 ÷ 2 = 35,601,342.5

If the quotient is a whole number, then 2 and 35,601,342.5 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 71,202,685
-1 -71,202,685

Now, we try dividing 71,202,685 by 3:

71,202,685 ÷ 3 = 23,734,228.3333

If the quotient is a whole number, then 3 and 23,734,228.3333 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 71,202,685
-1 -71,202,685

Let's try dividing by 4:

71,202,685 ÷ 4 = 17,800,671.25

If the quotient is a whole number, then 4 and 17,800,671.25 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 71,202,685
-1 71,202,685
Keep dividing by the next highest number until you cannot divide anymore.

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

15291451819052,7135,24913,56526,24578,677393,385491,0532,455,26514,240,53771,202,685
-1-5-29-145-181-905-2,713-5,249-13,565-26,245-78,677-393,385-491,053-2,455,265-14,240,537-71,202,685

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