Q: What are the factor combinations of the number 164,211,624?

 A:
Positive:   1 x 1642116242 x 821058123 x 547372084 x 410529066 x 273686048 x 205264539 x 1824573612 x 1368430218 x 912286824 x 684215127 x 608191236 x 456143437 x 443815254 x 304095672 x 228071774 x 221907681 x 2027304108 x 1520478111 x 1479384148 x 1109538162 x 1013652216 x 760239222 x 739692243 x 675768296 x 554769324 x 506826333 x 493128444 x 369846486 x 337884648 x 253413666 x 246564729 x 225256761 x 215784888 x 184923972 x 168942999 x 1643761332 x 1232821458 x 1126281522 x 1078921944 x 844711998 x 821882283 x 719282664 x 616412916 x 563142997 x 547923044 x 539463996 x 410944566 x 359645832 x 281575994 x 273966088 x 269736849 x 239767992 x 205478991 x 182649132 x 1798211988 x 13698
Negative: -1 x -164211624-2 x -82105812-3 x -54737208-4 x -41052906-6 x -27368604-8 x -20526453-9 x -18245736-12 x -13684302-18 x -9122868-24 x -6842151-27 x -6081912-36 x -4561434-37 x -4438152-54 x -3040956-72 x -2280717-74 x -2219076-81 x -2027304-108 x -1520478-111 x -1479384-148 x -1109538-162 x -1013652-216 x -760239-222 x -739692-243 x -675768-296 x -554769-324 x -506826-333 x -493128-444 x -369846-486 x -337884-648 x -253413-666 x -246564-729 x -225256-761 x -215784-888 x -184923-972 x -168942-999 x -164376-1332 x -123282-1458 x -112628-1522 x -107892-1944 x -84471-1998 x -82188-2283 x -71928-2664 x -61641-2916 x -56314-2997 x -54792-3044 x -53946-3996 x -41094-4566 x -35964-5832 x -28157-5994 x -27396-6088 x -26973-6849 x -23976-7992 x -20547-8991 x -18264-9132 x -17982-11988 x -13698


How do I find the factor combinations of the number 164,211,624?

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 164,211,624, 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.

1 164,211,624
-1 -164,211,624

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 164,211,624.

Example:
1 x 164,211,624 = 164,211,624
and
-1 x -164,211,624 = 164,211,624
Notice both answers equal 164,211,624

With that explanation out of the way, let's continue. Next, we take the number 164,211,624 and divide it by 2:

164,211,624 ÷ 2 = 82,105,812

If the quotient is a whole number, then 2 and 82,105,812 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 82,105,812 164,211,624
-1 -2 -82,105,812 -164,211,624

Now, we try dividing 164,211,624 by 3:

164,211,624 ÷ 3 = 54,737,208

If the quotient is a whole number, then 3 and 54,737,208 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 54,737,208 82,105,812 164,211,624
-1 -2 -3 -54,737,208 -82,105,812 -164,211,624

Let's try dividing by 4:

164,211,624 ÷ 4 = 41,052,906

If the quotient is a whole number, then 4 and 41,052,906 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 41,052,906 54,737,208 82,105,812 164,211,624
-1 -2 -3 -4 -41,052,906 -54,737,208 -82,105,812 164,211,624
Keep dividing by the next highest number until you cannot divide anymore.

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

1234689121824273637547274811081111481622162222432963243334444866486667297618889729991,3321,4581,5221,9441,9982,2832,6642,9162,9973,0443,9964,5665,8325,9946,0886,8497,9928,9919,13211,98813,69817,98218,26420,54723,97626,97327,39628,15735,96441,09453,94654,79256,31461,64171,92882,18884,471107,892112,628123,282164,376168,942184,923215,784225,256246,564253,413337,884369,846493,128506,826554,769675,768739,692760,2391,013,6521,109,5381,479,3841,520,4782,027,3042,219,0762,280,7173,040,9564,438,1524,561,4346,081,9126,842,1519,122,86813,684,30218,245,73620,526,45327,368,60441,052,90654,737,20882,105,812164,211,624
-1-2-3-4-6-8-9-12-18-24-27-36-37-54-72-74-81-108-111-148-162-216-222-243-296-324-333-444-486-648-666-729-761-888-972-999-1,332-1,458-1,522-1,944-1,998-2,283-2,664-2,916-2,997-3,044-3,996-4,566-5,832-5,994-6,088-6,849-7,992-8,991-9,132-11,988-13,698-17,982-18,264-20,547-23,976-26,973-27,396-28,157-35,964-41,094-53,946-54,792-56,314-61,641-71,928-82,188-84,471-107,892-112,628-123,282-164,376-168,942-184,923-215,784-225,256-246,564-253,413-337,884-369,846-493,128-506,826-554,769-675,768-739,692-760,239-1,013,652-1,109,538-1,479,384-1,520,478-2,027,304-2,219,076-2,280,717-3,040,956-4,438,152-4,561,434-6,081,912-6,842,151-9,122,868-13,684,302-18,245,736-20,526,453-27,368,604-41,052,906-54,737,208-82,105,812-164,211,624

More Examples

Here are some more numbers to try:

164,211,622164,211,623164,211,625164,211,626
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