Q: What are the factor combinations of the number 431,213,244?

 A:
Positive:   1 x 4312132442 x 2156066223 x 1437377484 x 1078033116 x 718688747 x 6160189211 x 3920120412 x 3593443714 x 3080094621 x 2053396422 x 1960060228 x 1540047333 x 1306706837 x 1165441242 x 1026698244 x 980030166 x 653353474 x 582720677 x 560017284 x 5133491111 x 3884804132 x 3266767148 x 2913603154 x 2800086222 x 1942402231 x 1866724259 x 1664916308 x 1400043407 x 1059492444 x 971201462 x 933362518 x 832458777 x 554972814 x 529746924 x 4666811036 x 4162291221 x 3531641554 x 2774861628 x 2648732442 x 1765822849 x 1513563108 x 1387434884 x 882915698 x 756788547 x 5045211396 x 3783912613 x 3418817094 x 25226
Negative: -1 x -431213244-2 x -215606622-3 x -143737748-4 x -107803311-6 x -71868874-7 x -61601892-11 x -39201204-12 x -35934437-14 x -30800946-21 x -20533964-22 x -19600602-28 x -15400473-33 x -13067068-37 x -11654412-42 x -10266982-44 x -9800301-66 x -6533534-74 x -5827206-77 x -5600172-84 x -5133491-111 x -3884804-132 x -3266767-148 x -2913603-154 x -2800086-222 x -1942402-231 x -1866724-259 x -1664916-308 x -1400043-407 x -1059492-444 x -971201-462 x -933362-518 x -832458-777 x -554972-814 x -529746-924 x -466681-1036 x -416229-1221 x -353164-1554 x -277486-1628 x -264873-2442 x -176582-2849 x -151356-3108 x -138743-4884 x -88291-5698 x -75678-8547 x -50452-11396 x -37839-12613 x -34188-17094 x -25226


How do I find the factor combinations of the number 431,213,244?

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 431,213,244, 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.

1 431,213,244
-1 -431,213,244

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 431,213,244.

Example:
1 x 431,213,244 = 431,213,244
and
-1 x -431,213,244 = 431,213,244
Notice both answers equal 431,213,244

With that explanation out of the way, let's continue. Next, we take the number 431,213,244 and divide it by 2:

431,213,244 ÷ 2 = 215,606,622

If the quotient is a whole number, then 2 and 215,606,622 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 2 215,606,622 431,213,244
-1 -2 -215,606,622 -431,213,244

Now, we try dividing 431,213,244 by 3:

431,213,244 ÷ 3 = 143,737,748

If the quotient is a whole number, then 3 and 143,737,748 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 3 143,737,748 215,606,622 431,213,244
-1 -2 -3 -143,737,748 -215,606,622 -431,213,244

Let's try dividing by 4:

431,213,244 ÷ 4 = 107,803,311

If the quotient is a whole number, then 4 and 107,803,311 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 4 107,803,311 143,737,748 215,606,622 431,213,244
-1 -2 -3 -4 -107,803,311 -143,737,748 -215,606,622 431,213,244
Keep dividing by the next highest number until you cannot divide anymore.

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

12346711121421222833374244667477841111321481542222312593084074444625187778149241,0361,2211,5541,6282,4422,8493,1084,8845,6988,54711,39612,61317,09425,22634,18837,83950,45275,67888,291138,743151,356176,582264,873277,486353,164416,229466,681529,746554,972832,458933,362971,2011,059,4921,400,0431,664,9161,866,7241,942,4022,800,0862,913,6033,266,7673,884,8045,133,4915,600,1725,827,2066,533,5349,800,30110,266,98211,654,41213,067,06815,400,47319,600,60220,533,96430,800,94635,934,43739,201,20461,601,89271,868,874107,803,311143,737,748215,606,622431,213,244
-1-2-3-4-6-7-11-12-14-21-22-28-33-37-42-44-66-74-77-84-111-132-148-154-222-231-259-308-407-444-462-518-777-814-924-1,036-1,221-1,554-1,628-2,442-2,849-3,108-4,884-5,698-8,547-11,396-12,613-17,094-25,226-34,188-37,839-50,452-75,678-88,291-138,743-151,356-176,582-264,873-277,486-353,164-416,229-466,681-529,746-554,972-832,458-933,362-971,201-1,059,492-1,400,043-1,664,916-1,866,724-1,942,402-2,800,086-2,913,603-3,266,767-3,884,804-5,133,491-5,600,172-5,827,206-6,533,534-9,800,301-10,266,982-11,654,412-13,067,068-15,400,473-19,600,602-20,533,964-30,800,946-35,934,437-39,201,204-61,601,892-71,868,874-107,803,311-143,737,748-215,606,622-431,213,244

More Examples

Here are some more numbers to try:

431,213,242431,213,243431,213,245431,213,246
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