Q: What are the factor combinations of the number 130,014,325?

 A:
Positive:   1 x 1300143255 x 260028657 x 1857347525 x 520057335 x 3714695103 x 1262275175 x 742939515 x 252455721 x 1803252575 x 504913605 x 360657213 x 18025
Negative: -1 x -130014325-5 x -26002865-7 x -18573475-25 x -5200573-35 x -3714695-103 x -1262275-175 x -742939-515 x -252455-721 x -180325-2575 x -50491-3605 x -36065-7213 x -18025


How do I find the factor combinations of the number 130,014,325?

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 130,014,325, 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.

1 130,014,325
-1 -130,014,325

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 130,014,325.

Example:
1 x 130,014,325 = 130,014,325
and
-1 x -130,014,325 = 130,014,325
Notice both answers equal 130,014,325

With that explanation out of the way, let's continue. Next, we take the number 130,014,325 and divide it by 2:

130,014,325 ÷ 2 = 65,007,162.5

If the quotient is a whole number, then 2 and 65,007,162.5 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:

1 130,014,325
-1 -130,014,325

Now, we try dividing 130,014,325 by 3:

130,014,325 ÷ 3 = 43,338,108.3333

If the quotient is a whole number, then 3 and 43,338,108.3333 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:

1 130,014,325
-1 -130,014,325

Let's try dividing by 4:

130,014,325 ÷ 4 = 32,503,581.25

If the quotient is a whole number, then 4 and 32,503,581.25 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:

1 130,014,325
-1 130,014,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351031755157212,5753,6057,21318,02536,06550,491180,325252,455742,9391,262,2753,714,6955,200,57318,573,47526,002,865130,014,325
-1-5-7-25-35-103-175-515-721-2,575-3,605-7,213-18,025-36,065-50,491-180,325-252,455-742,939-1,262,275-3,714,695-5,200,573-18,573,475-26,002,865-130,014,325

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