Q: What are the factor combinations of the number 130,477,735?

 A:
Positive:   1 x 1304777355 x 2609554723 x 5672945115 x 1134589811 x 1608851399 x 932654055 x 321776995 x 18653
Negative: -1 x -130477735-5 x -26095547-23 x -5672945-115 x -1134589-811 x -160885-1399 x -93265-4055 x -32177-6995 x -18653


How do I find the factor combinations of the number 130,477,735?

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 130,477,735, 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.

1 130,477,735
-1 -130,477,735

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 130,477,735.

Example:
1 x 130,477,735 = 130,477,735
and
-1 x -130,477,735 = 130,477,735
Notice both answers equal 130,477,735

With that explanation out of the way, let's continue. Next, we take the number 130,477,735 and divide it by 2:

130,477,735 ÷ 2 = 65,238,867.5

If the quotient is a whole number, then 2 and 65,238,867.5 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:

1 130,477,735
-1 -130,477,735

Now, we try dividing 130,477,735 by 3:

130,477,735 ÷ 3 = 43,492,578.3333

If the quotient is a whole number, then 3 and 43,492,578.3333 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:

1 130,477,735
-1 -130,477,735

Let's try dividing by 4:

130,477,735 ÷ 4 = 32,619,433.75

If the quotient is a whole number, then 4 and 32,619,433.75 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:

1 130,477,735
-1 130,477,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158111,3994,0556,99518,65332,17793,265160,8851,134,5895,672,94526,095,547130,477,735
-1-5-23-115-811-1,399-4,055-6,995-18,653-32,177-93,265-160,885-1,134,589-5,672,945-26,095,547-130,477,735

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