Q: What are the factor combinations of the number 400,402,002?

 A:
Positive:   1 x 4004020022 x 2002010013 x 1334673346 x 667336677 x 5720028611 x 3640018213 x 3080015414 x 2860014321 x 1906676222 x 1820009126 x 1540007733 x 1213339439 x 1026671842 x 953338166 x 606669777 x 520002678 x 513335991 x 4400022143 x 2800014154 x 2600013163 x 2456454182 x 2200011231 x 1733342273 x 1466674286 x 1400007326 x 1228227409 x 978978429 x 933338462 x 866671489 x 818818546 x 733337818 x 489489858 x 466669978 x 4094091001 x 4000021141 x 3509221227 x 3263261793 x 2233142002 x 2000012119 x 1889582282 x 1754612454 x 1631632863 x 1398543003 x 1333343423 x 1169743586 x 1116574238 x 944794499 x 889985317 x 753065379 x 744385726 x 699276006 x 666676357 x 629866846 x 584878589 x 466188998 x 4449910634 x 3765310758 x 3721912551 x 3190212714 x 3149313497 x 2966614833 x 2699415951 x 2510217178 x 23309
Negative: -1 x -400402002-2 x -200201001-3 x -133467334-6 x -66733667-7 x -57200286-11 x -36400182-13 x -30800154-14 x -28600143-21 x -19066762-22 x -18200091-26 x -15400077-33 x -12133394-39 x -10266718-42 x -9533381-66 x -6066697-77 x -5200026-78 x -5133359-91 x -4400022-143 x -2800014-154 x -2600013-163 x -2456454-182 x -2200011-231 x -1733342-273 x -1466674-286 x -1400007-326 x -1228227-409 x -978978-429 x -933338-462 x -866671-489 x -818818-546 x -733337-818 x -489489-858 x -466669-978 x -409409-1001 x -400002-1141 x -350922-1227 x -326326-1793 x -223314-2002 x -200001-2119 x -188958-2282 x -175461-2454 x -163163-2863 x -139854-3003 x -133334-3423 x -116974-3586 x -111657-4238 x -94479-4499 x -88998-5317 x -75306-5379 x -74438-5726 x -69927-6006 x -66667-6357 x -62986-6846 x -58487-8589 x -46618-8998 x -44499-10634 x -37653-10758 x -37219-12551 x -31902-12714 x -31493-13497 x -29666-14833 x -26994-15951 x -25102-17178 x -23309


How do I find the factor combinations of the number 400,402,002?

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 400,402,002, 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.

1 400,402,002
-1 -400,402,002

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 400,402,002.

Example:
1 x 400,402,002 = 400,402,002
and
-1 x -400,402,002 = 400,402,002
Notice both answers equal 400,402,002

With that explanation out of the way, let's continue. Next, we take the number 400,402,002 and divide it by 2:

400,402,002 ÷ 2 = 200,201,001

If the quotient is a whole number, then 2 and 200,201,001 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 2 200,201,001 400,402,002
-1 -2 -200,201,001 -400,402,002

Now, we try dividing 400,402,002 by 3:

400,402,002 ÷ 3 = 133,467,334

If the quotient is a whole number, then 3 and 133,467,334 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 3 133,467,334 200,201,001 400,402,002
-1 -2 -3 -133,467,334 -200,201,001 -400,402,002

Let's try dividing by 4:

400,402,002 ÷ 4 = 100,100,500.5

If the quotient is a whole number, then 4 and 100,100,500.5 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 2 3 133,467,334 200,201,001 400,402,002
-1 -2 -3 -133,467,334 -200,201,001 400,402,002
Keep dividing by the next highest number until you cannot divide anymore.

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

12367111314212226333942667778911431541631822312732863264094294624895468188589781,0011,1411,2271,7932,0022,1192,2822,4542,8633,0033,4233,5864,2384,4995,3175,3795,7266,0066,3576,8468,5898,99810,63410,75812,55112,71413,49714,83315,95117,17823,30925,10226,99429,66631,49331,90237,21937,65344,49946,61858,48762,98666,66769,92774,43875,30688,99894,479111,657116,974133,334139,854163,163175,461188,958200,001223,314326,326350,922400,002409,409466,669489,489733,337818,818866,671933,338978,9781,228,2271,400,0071,466,6741,733,3422,200,0112,456,4542,600,0132,800,0144,400,0225,133,3595,200,0266,066,6979,533,38110,266,71812,133,39415,400,07718,200,09119,066,76228,600,14330,800,15436,400,18257,200,28666,733,667133,467,334200,201,001400,402,002
-1-2-3-6-7-11-13-14-21-22-26-33-39-42-66-77-78-91-143-154-163-182-231-273-286-326-409-429-462-489-546-818-858-978-1,001-1,141-1,227-1,793-2,002-2,119-2,282-2,454-2,863-3,003-3,423-3,586-4,238-4,499-5,317-5,379-5,726-6,006-6,357-6,846-8,589-8,998-10,634-10,758-12,551-12,714-13,497-14,833-15,951-17,178-23,309-25,102-26,994-29,666-31,493-31,902-37,219-37,653-44,499-46,618-58,487-62,986-66,667-69,927-74,438-75,306-88,998-94,479-111,657-116,974-133,334-139,854-163,163-175,461-188,958-200,001-223,314-326,326-350,922-400,002-409,409-466,669-489,489-733,337-818,818-866,671-933,338-978,978-1,228,227-1,400,007-1,466,674-1,733,342-2,200,011-2,456,454-2,600,013-2,800,014-4,400,022-5,133,359-5,200,026-6,066,697-9,533,381-10,266,718-12,133,394-15,400,077-18,200,091-19,066,762-28,600,143-30,800,154-36,400,182-57,200,286-66,733,667-133,467,334-200,201,001-400,402,002

More Examples

Here are some more numbers to try:

400,402,000400,402,001400,402,003400,402,004
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