Q: What are the factor combinations of the number 404,425,644?

 A:
Positive:   1 x 4044256442 x 2022128223 x 1348085484 x 1011064116 x 674042747 x 5777509212 x 3370213714 x 2888754621 x 1925836428 x 1444377342 x 962918284 x 4814591113 x 3578988137 x 2952012226 x 1789494274 x 1476006311 x 1300404339 x 1192996411 x 984004452 x 894747548 x 738003622 x 650202678 x 596498791 x 511284822 x 492002933 x 433468959 x 4217161244 x 3251011356 x 2982491582 x 2556421644 x 2460011866 x 2167341918 x 2108582177 x 1857722373 x 1704282877 x 1405723164 x 1278213732 x 1083673836 x 1054294354 x 928864746 x 852145754 x 702866531 x 619248708 x 464439492 x 4260711508 x 3514313062 x 3096215481 x 26124
Negative: -1 x -404425644-2 x -202212822-3 x -134808548-4 x -101106411-6 x -67404274-7 x -57775092-12 x -33702137-14 x -28887546-21 x -19258364-28 x -14443773-42 x -9629182-84 x -4814591-113 x -3578988-137 x -2952012-226 x -1789494-274 x -1476006-311 x -1300404-339 x -1192996-411 x -984004-452 x -894747-548 x -738003-622 x -650202-678 x -596498-791 x -511284-822 x -492002-933 x -433468-959 x -421716-1244 x -325101-1356 x -298249-1582 x -255642-1644 x -246001-1866 x -216734-1918 x -210858-2177 x -185772-2373 x -170428-2877 x -140572-3164 x -127821-3732 x -108367-3836 x -105429-4354 x -92886-4746 x -85214-5754 x -70286-6531 x -61924-8708 x -46443-9492 x -42607-11508 x -35143-13062 x -30962-15481 x -26124


How do I find the factor combinations of the number 404,425,644?

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 404,425,644, 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.

1 404,425,644
-1 -404,425,644

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 404,425,644.

Example:
1 x 404,425,644 = 404,425,644
and
-1 x -404,425,644 = 404,425,644
Notice both answers equal 404,425,644

With that explanation out of the way, let's continue. Next, we take the number 404,425,644 and divide it by 2:

404,425,644 ÷ 2 = 202,212,822

If the quotient is a whole number, then 2 and 202,212,822 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 202,212,822 404,425,644
-1 -2 -202,212,822 -404,425,644

Now, we try dividing 404,425,644 by 3:

404,425,644 ÷ 3 = 134,808,548

If the quotient is a whole number, then 3 and 134,808,548 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 134,808,548 202,212,822 404,425,644
-1 -2 -3 -134,808,548 -202,212,822 -404,425,644

Let's try dividing by 4:

404,425,644 ÷ 4 = 101,106,411

If the quotient is a whole number, then 4 and 101,106,411 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 101,106,411 134,808,548 202,212,822 404,425,644
-1 -2 -3 -4 -101,106,411 -134,808,548 -202,212,822 404,425,644
Keep dividing by the next highest number until you cannot divide anymore.

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

1234671214212842841131372262743113394114525486226787918229339591,2441,3561,5821,6441,8661,9182,1772,3732,8773,1643,7323,8364,3544,7465,7546,5318,7089,49211,50813,06215,48126,12430,96235,14342,60746,44361,92470,28685,21492,886105,429108,367127,821140,572170,428185,772210,858216,734246,001255,642298,249325,101421,716433,468492,002511,284596,498650,202738,003894,747984,0041,192,9961,300,4041,476,0061,789,4942,952,0123,578,9884,814,5919,629,18214,443,77319,258,36428,887,54633,702,13757,775,09267,404,274101,106,411134,808,548202,212,822404,425,644
-1-2-3-4-6-7-12-14-21-28-42-84-113-137-226-274-311-339-411-452-548-622-678-791-822-933-959-1,244-1,356-1,582-1,644-1,866-1,918-2,177-2,373-2,877-3,164-3,732-3,836-4,354-4,746-5,754-6,531-8,708-9,492-11,508-13,062-15,481-26,124-30,962-35,143-42,607-46,443-61,924-70,286-85,214-92,886-105,429-108,367-127,821-140,572-170,428-185,772-210,858-216,734-246,001-255,642-298,249-325,101-421,716-433,468-492,002-511,284-596,498-650,202-738,003-894,747-984,004-1,192,996-1,300,404-1,476,006-1,789,494-2,952,012-3,578,988-4,814,591-9,629,182-14,443,773-19,258,364-28,887,546-33,702,137-57,775,092-67,404,274-101,106,411-134,808,548-202,212,822-404,425,644

More Examples

Here are some more numbers to try:

404,425,642404,425,643404,425,645404,425,646
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