Q: What are the factor combinations of the number 12,701,585?

 A:
Positive:   1 x 127015855 x 254031713 x 97704565 x 195409263 x 48295743 x 170951315 x 96593419 x 3715
Negative: -1 x -12701585-5 x -2540317-13 x -977045-65 x -195409-263 x -48295-743 x -17095-1315 x -9659-3419 x -3715


How do I find the factor combinations of the number 12,701,585?

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 12,701,585, 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 12,701,585
-1 -12,701,585

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 12,701,585.

Example:
1 x 12,701,585 = 12,701,585
and
-1 x -12,701,585 = 12,701,585
Notice both answers equal 12,701,585

With that explanation out of the way, let's continue. Next, we take the number 12,701,585 and divide it by 2:

12,701,585 ÷ 2 = 6,350,792.5

If the quotient is a whole number, then 2 and 6,350,792.5 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 12,701,585
-1 -12,701,585

Now, we try dividing 12,701,585 by 3:

12,701,585 ÷ 3 = 4,233,861.6667

If the quotient is a whole number, then 3 and 4,233,861.6667 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 12,701,585
-1 -12,701,585

Let's try dividing by 4:

12,701,585 ÷ 4 = 3,175,396.25

If the quotient is a whole number, then 4 and 3,175,396.25 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 12,701,585
-1 12,701,585
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652637431,3153,4193,7159,65917,09548,295195,409977,0452,540,31712,701,585
-1-5-13-65-263-743-1,315-3,419-3,715-9,659-17,095-48,295-195,409-977,045-2,540,317-12,701,585

More Examples

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