Q: What are the factor combinations of the number 130,040,617?

 A:
Positive:   1 x 1300406177 x 1857723119 x 6844243133 x 977749239 x 5441031673 x 777294091 x 317874541 x 28637
Negative: -1 x -130040617-7 x -18577231-19 x -6844243-133 x -977749-239 x -544103-1673 x -77729-4091 x -31787-4541 x -28637


How do I find the factor combinations of the number 130,040,617?

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 130,040,617, 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.

1 130,040,617
-1 -130,040,617

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 130,040,617.

Example:
1 x 130,040,617 = 130,040,617
and
-1 x -130,040,617 = 130,040,617
Notice both answers equal 130,040,617

With that explanation out of the way, let's continue. Next, we take the number 130,040,617 and divide it by 2:

130,040,617 ÷ 2 = 65,020,308.5

If the quotient is a whole number, then 2 and 65,020,308.5 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:

1 130,040,617
-1 -130,040,617

Now, we try dividing 130,040,617 by 3:

130,040,617 ÷ 3 = 43,346,872.3333

If the quotient is a whole number, then 3 and 43,346,872.3333 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:

1 130,040,617
-1 -130,040,617

Let's try dividing by 4:

130,040,617 ÷ 4 = 32,510,154.25

If the quotient is a whole number, then 4 and 32,510,154.25 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:

1 130,040,617
-1 130,040,617
Keep dividing by the next highest number until you cannot divide anymore.

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

17191332391,6734,0914,54128,63731,78777,729544,103977,7496,844,24318,577,231130,040,617
-1-7-19-133-239-1,673-4,091-4,541-28,637-31,787-77,729-544,103-977,749-6,844,243-18,577,231-130,040,617

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