Q: What are the factor combinations of the number 130,042,315?

 A:
Positive:   1 x 1300423155 x 2600846313 x 1000325565 x 2000651157 x 828295785 x 1656592041 x 6371510205 x 12743
Negative: -1 x -130042315-5 x -26008463-13 x -10003255-65 x -2000651-157 x -828295-785 x -165659-2041 x -63715-10205 x -12743


How do I find the factor combinations of the number 130,042,315?

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 130,042,315, 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.

1 130,042,315
-1 -130,042,315

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 130,042,315.

Example:
1 x 130,042,315 = 130,042,315
and
-1 x -130,042,315 = 130,042,315
Notice both answers equal 130,042,315

With that explanation out of the way, let's continue. Next, we take the number 130,042,315 and divide it by 2:

130,042,315 ÷ 2 = 65,021,157.5

If the quotient is a whole number, then 2 and 65,021,157.5 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:

1 130,042,315
-1 -130,042,315

Now, we try dividing 130,042,315 by 3:

130,042,315 ÷ 3 = 43,347,438.3333

If the quotient is a whole number, then 3 and 43,347,438.3333 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:

1 130,042,315
-1 -130,042,315

Let's try dividing by 4:

130,042,315 ÷ 4 = 32,510,578.75

If the quotient is a whole number, then 4 and 32,510,578.75 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:

1 130,042,315
-1 130,042,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651577852,04110,20512,74363,715165,659828,2952,000,65110,003,25526,008,463130,042,315
-1-5-13-65-157-785-2,041-10,205-12,743-63,715-165,659-828,295-2,000,651-10,003,255-26,008,463-130,042,315

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