Q: What are the factor combinations of the number 370,307,705?

 A:
Positive:   1 x 3703077055 x 7406154123 x 16100335115 x 3220067397 x 9327651985 x 1865538111 x 456559131 x 40555
Negative: -1 x -370307705-5 x -74061541-23 x -16100335-115 x -3220067-397 x -932765-1985 x -186553-8111 x -45655-9131 x -40555


How do I find the factor combinations of the number 370,307,705?

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 370,307,705, 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.

1 370,307,705
-1 -370,307,705

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 370,307,705.

Example:
1 x 370,307,705 = 370,307,705
and
-1 x -370,307,705 = 370,307,705
Notice both answers equal 370,307,705

With that explanation out of the way, let's continue. Next, we take the number 370,307,705 and divide it by 2:

370,307,705 ÷ 2 = 185,153,852.5

If the quotient is a whole number, then 2 and 185,153,852.5 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:

1 370,307,705
-1 -370,307,705

Now, we try dividing 370,307,705 by 3:

370,307,705 ÷ 3 = 123,435,901.6667

If the quotient is a whole number, then 3 and 123,435,901.6667 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:

1 370,307,705
-1 -370,307,705

Let's try dividing by 4:

370,307,705 ÷ 4 = 92,576,926.25

If the quotient is a whole number, then 4 and 92,576,926.25 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:

1 370,307,705
-1 370,307,705
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153971,9858,1119,13140,55545,655186,553932,7653,220,06716,100,33574,061,541370,307,705
-1-5-23-115-397-1,985-8,111-9,131-40,555-45,655-186,553-932,765-3,220,067-16,100,335-74,061,541-370,307,705

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