Q: What are the factor combinations of the number 850,233,155?

 A:
Positive:   1 x 8502331555 x 17004663117 x 5001371553 x 1604213579 x 1076244585 x 10002743265 x 3208427395 x 2152489901 x 9436551343 x 6330852389 x 3558954187 x 2030654505 x 1887316715 x 12661711945 x 7117920935 x 40613
Negative: -1 x -850233155-5 x -170046631-17 x -50013715-53 x -16042135-79 x -10762445-85 x -10002743-265 x -3208427-395 x -2152489-901 x -943655-1343 x -633085-2389 x -355895-4187 x -203065-4505 x -188731-6715 x -126617-11945 x -71179-20935 x -40613


How do I find the factor combinations of the number 850,233,155?

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 850,233,155, 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.

1 850,233,155
-1 -850,233,155

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 850,233,155.

Example:
1 x 850,233,155 = 850,233,155
and
-1 x -850,233,155 = 850,233,155
Notice both answers equal 850,233,155

With that explanation out of the way, let's continue. Next, we take the number 850,233,155 and divide it by 2:

850,233,155 ÷ 2 = 425,116,577.5

If the quotient is a whole number, then 2 and 425,116,577.5 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:

1 850,233,155
-1 -850,233,155

Now, we try dividing 850,233,155 by 3:

850,233,155 ÷ 3 = 283,411,051.6667

If the quotient is a whole number, then 3 and 283,411,051.6667 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:

1 850,233,155
-1 -850,233,155

Let's try dividing by 4:

850,233,155 ÷ 4 = 212,558,288.75

If the quotient is a whole number, then 4 and 212,558,288.75 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:

1 850,233,155
-1 850,233,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15175379852653959011,3432,3894,1874,5056,71511,94520,93540,61371,179126,617188,731203,065355,895633,085943,6552,152,4893,208,42710,002,74310,762,44516,042,13550,013,715170,046,631850,233,155
-1-5-17-53-79-85-265-395-901-1,343-2,389-4,187-4,505-6,715-11,945-20,935-40,613-71,179-126,617-188,731-203,065-355,895-633,085-943,655-2,152,489-3,208,427-10,002,743-10,762,445-16,042,135-50,013,715-170,046,631-850,233,155

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