Q: What are the factor combinations of the number 701,816,269?

 A:
Positive:   1 x 7018162697 x 10025946711 x 6380147929 x 2420056149 x 1432278159 x 1189519177 x 9114497203 x 3457223319 x 2200051413 x 1699313539 x 1302071649 x 1081381761 x 9222291421 x 4938891711 x 4101792233 x 3142932891 x 2427594543 x 1544835327 x 1317478371 x 8383911977 x 5859715631 x 4489918821 x 3728922069 x 31801
Negative: -1 x -701816269-7 x -100259467-11 x -63801479-29 x -24200561-49 x -14322781-59 x -11895191-77 x -9114497-203 x -3457223-319 x -2200051-413 x -1699313-539 x -1302071-649 x -1081381-761 x -922229-1421 x -493889-1711 x -410179-2233 x -314293-2891 x -242759-4543 x -154483-5327 x -131747-8371 x -83839-11977 x -58597-15631 x -44899-18821 x -37289-22069 x -31801


How do I find the factor combinations of the number 701,816,269?

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 701,816,269, 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.

1 701,816,269
-1 -701,816,269

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 701,816,269.

Example:
1 x 701,816,269 = 701,816,269
and
-1 x -701,816,269 = 701,816,269
Notice both answers equal 701,816,269

With that explanation out of the way, let's continue. Next, we take the number 701,816,269 and divide it by 2:

701,816,269 ÷ 2 = 350,908,134.5

If the quotient is a whole number, then 2 and 350,908,134.5 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:

1 701,816,269
-1 -701,816,269

Now, we try dividing 701,816,269 by 3:

701,816,269 ÷ 3 = 233,938,756.3333

If the quotient is a whole number, then 3 and 233,938,756.3333 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:

1 701,816,269
-1 -701,816,269

Let's try dividing by 4:

701,816,269 ÷ 4 = 175,454,067.25

If the quotient is a whole number, then 4 and 175,454,067.25 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:

1 701,816,269
-1 701,816,269
Keep dividing by the next highest number until you cannot divide anymore.

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

1711294959772033194135396497611,4211,7112,2332,8914,5435,3278,37111,97715,63118,82122,06931,80137,28944,89958,59783,839131,747154,483242,759314,293410,179493,889922,2291,081,3811,302,0711,699,3132,200,0513,457,2239,114,49711,895,19114,322,78124,200,56163,801,479100,259,467701,816,269
-1-7-11-29-49-59-77-203-319-413-539-649-761-1,421-1,711-2,233-2,891-4,543-5,327-8,371-11,977-15,631-18,821-22,069-31,801-37,289-44,899-58,597-83,839-131,747-154,483-242,759-314,293-410,179-493,889-922,229-1,081,381-1,302,071-1,699,313-2,200,051-3,457,223-9,114,497-11,895,191-14,322,781-24,200,561-63,801,479-100,259,467-701,816,269

More Examples

Here are some more numbers to try:

701,816,267701,816,268701,816,270701,816,271
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