Q: What are the factor combinations of the number 13,012,735?

 A:
Positive:   1 x 130127355 x 260254717 x 76545529 x 44871585 x 153091145 x 89743493 x 263952465 x 5279
Negative: -1 x -13012735-5 x -2602547-17 x -765455-29 x -448715-85 x -153091-145 x -89743-493 x -26395-2465 x -5279


How do I find the factor combinations of the number 13,012,735?

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 13,012,735, 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 13,012,735
-1 -13,012,735

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 13,012,735.

Example:
1 x 13,012,735 = 13,012,735
and
-1 x -13,012,735 = 13,012,735
Notice both answers equal 13,012,735

With that explanation out of the way, let's continue. Next, we take the number 13,012,735 and divide it by 2:

13,012,735 ÷ 2 = 6,506,367.5

If the quotient is a whole number, then 2 and 6,506,367.5 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 13,012,735
-1 -13,012,735

Now, we try dividing 13,012,735 by 3:

13,012,735 ÷ 3 = 4,337,578.3333

If the quotient is a whole number, then 3 and 4,337,578.3333 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 13,012,735
-1 -13,012,735

Let's try dividing by 4:

13,012,735 ÷ 4 = 3,253,183.75

If the quotient is a whole number, then 4 and 3,253,183.75 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 13,012,735
-1 13,012,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,4655,27926,39589,743153,091448,715765,4552,602,54713,012,735
-1-5-17-29-85-145-493-2,465-5,279-26,395-89,743-153,091-448,715-765,455-2,602,547-13,012,735

More Examples

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