Q: What are the factor combinations of the number 801,580,835?

 A:
Positive:   1 x 8015808355 x 16031616711 x 7287098519 x 4218846555 x 1457419795 x 8437693121 x 6624635137 x 5850955209 x 3835315509 x 1574815605 x 1324927685 x 11701911045 x 7670631507 x 5319052299 x 3486652545 x 3149632603 x 3079455599 x 1431657535 x 1063819671 x 8288511495 x 6973313015 x 6158916577 x 4835527995 x 28633
Negative: -1 x -801580835-5 x -160316167-11 x -72870985-19 x -42188465-55 x -14574197-95 x -8437693-121 x -6624635-137 x -5850955-209 x -3835315-509 x -1574815-605 x -1324927-685 x -1170191-1045 x -767063-1507 x -531905-2299 x -348665-2545 x -314963-2603 x -307945-5599 x -143165-7535 x -106381-9671 x -82885-11495 x -69733-13015 x -61589-16577 x -48355-27995 x -28633


How do I find the factor combinations of the number 801,580,835?

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 801,580,835, 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.

1 801,580,835
-1 -801,580,835

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 801,580,835.

Example:
1 x 801,580,835 = 801,580,835
and
-1 x -801,580,835 = 801,580,835
Notice both answers equal 801,580,835

With that explanation out of the way, let's continue. Next, we take the number 801,580,835 and divide it by 2:

801,580,835 ÷ 2 = 400,790,417.5

If the quotient is a whole number, then 2 and 400,790,417.5 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:

1 801,580,835
-1 -801,580,835

Now, we try dividing 801,580,835 by 3:

801,580,835 ÷ 3 = 267,193,611.6667

If the quotient is a whole number, then 3 and 267,193,611.6667 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:

1 801,580,835
-1 -801,580,835

Let's try dividing by 4:

801,580,835 ÷ 4 = 200,395,208.75

If the quotient is a whole number, then 4 and 200,395,208.75 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:

1 801,580,835
-1 801,580,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955951211372095096056851,0451,5072,2992,5452,6035,5997,5359,67111,49513,01516,57727,99528,63348,35561,58969,73382,885106,381143,165307,945314,963348,665531,905767,0631,170,1911,324,9271,574,8153,835,3155,850,9556,624,6358,437,69314,574,19742,188,46572,870,985160,316,167801,580,835
-1-5-11-19-55-95-121-137-209-509-605-685-1,045-1,507-2,299-2,545-2,603-5,599-7,535-9,671-11,495-13,015-16,577-27,995-28,633-48,355-61,589-69,733-82,885-106,381-143,165-307,945-314,963-348,665-531,905-767,063-1,170,191-1,324,927-1,574,815-3,835,315-5,850,955-6,624,635-8,437,693-14,574,197-42,188,465-72,870,985-160,316,167-801,580,835

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