Q: What are the factor combinations of the number 104,070,337?

 A:
Positive:   1 x 1040703377 x 14867191389 x 2675332723 x 38219
Negative: -1 x -104070337-7 x -14867191-389 x -267533-2723 x -38219


How do I find the factor combinations of the number 104,070,337?

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 104,070,337, 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.

1 104,070,337
-1 -104,070,337

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 104,070,337.

Example:
1 x 104,070,337 = 104,070,337
and
-1 x -104,070,337 = 104,070,337
Notice both answers equal 104,070,337

With that explanation out of the way, let's continue. Next, we take the number 104,070,337 and divide it by 2:

104,070,337 ÷ 2 = 52,035,168.5

If the quotient is a whole number, then 2 and 52,035,168.5 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:

1 104,070,337
-1 -104,070,337

Now, we try dividing 104,070,337 by 3:

104,070,337 ÷ 3 = 34,690,112.3333

If the quotient is a whole number, then 3 and 34,690,112.3333 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:

1 104,070,337
-1 -104,070,337

Let's try dividing by 4:

104,070,337 ÷ 4 = 26,017,584.25

If the quotient is a whole number, then 4 and 26,017,584.25 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:

1 104,070,337
-1 104,070,337
Keep dividing by the next highest number until you cannot divide anymore.

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

173892,72338,219267,53314,867,191104,070,337
-1-7-389-2,723-38,219-267,533-14,867,191-104,070,337

More Examples

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