Q: What are the factor combinations of the number 370,445,023?

 A:
Positive:   1 x 37044502313 x 2849577147 x 7881809419 x 884117611 x 6062931447 x 2560095447 x 6800918811 x 19693
Negative: -1 x -370445023-13 x -28495771-47 x -7881809-419 x -884117-611 x -606293-1447 x -256009-5447 x -68009-18811 x -19693


How do I find the factor combinations of the number 370,445,023?

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 370,445,023, 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.

1 370,445,023
-1 -370,445,023

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 370,445,023.

Example:
1 x 370,445,023 = 370,445,023
and
-1 x -370,445,023 = 370,445,023
Notice both answers equal 370,445,023

With that explanation out of the way, let's continue. Next, we take the number 370,445,023 and divide it by 2:

370,445,023 ÷ 2 = 185,222,511.5

If the quotient is a whole number, then 2 and 185,222,511.5 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:

1 370,445,023
-1 -370,445,023

Now, we try dividing 370,445,023 by 3:

370,445,023 ÷ 3 = 123,481,674.3333

If the quotient is a whole number, then 3 and 123,481,674.3333 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:

1 370,445,023
-1 -370,445,023

Let's try dividing by 4:

370,445,023 ÷ 4 = 92,611,255.75

If the quotient is a whole number, then 4 and 92,611,255.75 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:

1 370,445,023
-1 370,445,023
Keep dividing by the next highest number until you cannot divide anymore.

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

113474196111,4475,44718,81119,69368,009256,009606,293884,1177,881,80928,495,771370,445,023
-1-13-47-419-611-1,447-5,447-18,811-19,693-68,009-256,009-606,293-884,117-7,881,809-28,495,771-370,445,023

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