Q: What are the factor combinations of the number 130,031,011?

 A:
Positive:   1 x 13003101111 x 1182100117 x 764888343 x 3023977103 x 1262437157 x 828223187 x 695353473 x 274907731 x 1778811133 x 1147671727 x 752931751 x 742612669 x 487194429 x 293596751 x 192618041 x 16171
Negative: -1 x -130031011-11 x -11821001-17 x -7648883-43 x -3023977-103 x -1262437-157 x -828223-187 x -695353-473 x -274907-731 x -177881-1133 x -114767-1727 x -75293-1751 x -74261-2669 x -48719-4429 x -29359-6751 x -19261-8041 x -16171


How do I find the factor combinations of the number 130,031,011?

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 130,031,011, 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.

1 130,031,011
-1 -130,031,011

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 130,031,011.

Example:
1 x 130,031,011 = 130,031,011
and
-1 x -130,031,011 = 130,031,011
Notice both answers equal 130,031,011

With that explanation out of the way, let's continue. Next, we take the number 130,031,011 and divide it by 2:

130,031,011 ÷ 2 = 65,015,505.5

If the quotient is a whole number, then 2 and 65,015,505.5 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:

1 130,031,011
-1 -130,031,011

Now, we try dividing 130,031,011 by 3:

130,031,011 ÷ 3 = 43,343,670.3333

If the quotient is a whole number, then 3 and 43,343,670.3333 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:

1 130,031,011
-1 -130,031,011

Let's try dividing by 4:

130,031,011 ÷ 4 = 32,507,752.75

If the quotient is a whole number, then 4 and 32,507,752.75 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:

1 130,031,011
-1 130,031,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11117431031571874737311,1331,7271,7512,6694,4296,7518,04116,17119,26129,35948,71974,26175,293114,767177,881274,907695,353828,2231,262,4373,023,9777,648,88311,821,001130,031,011
-1-11-17-43-103-157-187-473-731-1,133-1,727-1,751-2,669-4,429-6,751-8,041-16,171-19,261-29,359-48,719-74,261-75,293-114,767-177,881-274,907-695,353-828,223-1,262,437-3,023,977-7,648,883-11,821,001-130,031,011

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