Q: What are the factor combinations of the number 375,286,309?

 A:
Positive:   1 x 37528630919 x 197519111117 x 33597717683 x 21223
Negative: -1 x -375286309-19 x -19751911-1117 x -335977-17683 x -21223


How do I find the factor combinations of the number 375,286,309?

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 375,286,309, 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.

1 375,286,309
-1 -375,286,309

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 375,286,309.

Example:
1 x 375,286,309 = 375,286,309
and
-1 x -375,286,309 = 375,286,309
Notice both answers equal 375,286,309

With that explanation out of the way, let's continue. Next, we take the number 375,286,309 and divide it by 2:

375,286,309 ÷ 2 = 187,643,154.5

If the quotient is a whole number, then 2 and 187,643,154.5 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:

1 375,286,309
-1 -375,286,309

Now, we try dividing 375,286,309 by 3:

375,286,309 ÷ 3 = 125,095,436.3333

If the quotient is a whole number, then 3 and 125,095,436.3333 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:

1 375,286,309
-1 -375,286,309

Let's try dividing by 4:

375,286,309 ÷ 4 = 93,821,577.25

If the quotient is a whole number, then 4 and 93,821,577.25 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:

1 375,286,309
-1 375,286,309
Keep dividing by the next highest number until you cannot divide anymore.

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

1191,11717,68321,223335,97719,751,911375,286,309
-1-19-1,117-17,683-21,223-335,977-19,751,911-375,286,309

More Examples

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