Q: What are the factor combinations of the number 102,144,042?

 A:
Positive:   1 x 1021440422 x 510720213 x 340480146 x 170240077 x 145920069 x 1134933811 x 928582213 x 785723414 x 729600318 x 567466921 x 486400222 x 464291126 x 392861733 x 309527439 x 261907842 x 243200163 x 162133466 x 154763777 x 132654678 x 130953991 x 112246299 x 1031758117 x 873026126 x 810667143 x 714294154 x 663273182 x 561231198 x 515879231 x 442182234 x 436513273 x 374154286 x 357147429 x 238098462 x 221091546 x 187077693 x 147394819 x 124718858 x 1190491001 x 1020421287 x 793661386 x 736971638 x 623592002 x 510212574 x 396833003 x 340145669 x 180186006 x 170079009 x 11338
Negative: -1 x -102144042-2 x -51072021-3 x -34048014-6 x -17024007-7 x -14592006-9 x -11349338-11 x -9285822-13 x -7857234-14 x -7296003-18 x -5674669-21 x -4864002-22 x -4642911-26 x -3928617-33 x -3095274-39 x -2619078-42 x -2432001-63 x -1621334-66 x -1547637-77 x -1326546-78 x -1309539-91 x -1122462-99 x -1031758-117 x -873026-126 x -810667-143 x -714294-154 x -663273-182 x -561231-198 x -515879-231 x -442182-234 x -436513-273 x -374154-286 x -357147-429 x -238098-462 x -221091-546 x -187077-693 x -147394-819 x -124718-858 x -119049-1001 x -102042-1287 x -79366-1386 x -73697-1638 x -62359-2002 x -51021-2574 x -39683-3003 x -34014-5669 x -18018-6006 x -17007-9009 x -11338


How do I find the factor combinations of the number 102,144,042?

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 102,144,042, 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.

1 102,144,042
-1 -102,144,042

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 102,144,042.

Example:
1 x 102,144,042 = 102,144,042
and
-1 x -102,144,042 = 102,144,042
Notice both answers equal 102,144,042

With that explanation out of the way, let's continue. Next, we take the number 102,144,042 and divide it by 2:

102,144,042 ÷ 2 = 51,072,021

If the quotient is a whole number, then 2 and 51,072,021 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 51,072,021 102,144,042
-1 -2 -51,072,021 -102,144,042

Now, we try dividing 102,144,042 by 3:

102,144,042 ÷ 3 = 34,048,014

If the quotient is a whole number, then 3 and 34,048,014 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 34,048,014 51,072,021 102,144,042
-1 -2 -3 -34,048,014 -51,072,021 -102,144,042

Let's try dividing by 4:

102,144,042 ÷ 4 = 25,536,010.5

If the quotient is a whole number, then 4 and 25,536,010.5 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 34,048,014 51,072,021 102,144,042
-1 -2 -3 -34,048,014 -51,072,021 102,144,042
Keep dividing by the next highest number until you cannot divide anymore.

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

123679111314182122263339426366777891991171261431541821982312342732864294625466938198581,0011,2871,3861,6382,0022,5743,0035,6696,0069,00911,33817,00718,01834,01439,68351,02162,35973,69779,366102,042119,049124,718147,394187,077221,091238,098357,147374,154436,513442,182515,879561,231663,273714,294810,667873,0261,031,7581,122,4621,309,5391,326,5461,547,6371,621,3342,432,0012,619,0783,095,2743,928,6174,642,9114,864,0025,674,6697,296,0037,857,2349,285,82211,349,33814,592,00617,024,00734,048,01451,072,021102,144,042
-1-2-3-6-7-9-11-13-14-18-21-22-26-33-39-42-63-66-77-78-91-99-117-126-143-154-182-198-231-234-273-286-429-462-546-693-819-858-1,001-1,287-1,386-1,638-2,002-2,574-3,003-5,669-6,006-9,009-11,338-17,007-18,018-34,014-39,683-51,021-62,359-73,697-79,366-102,042-119,049-124,718-147,394-187,077-221,091-238,098-357,147-374,154-436,513-442,182-515,879-561,231-663,273-714,294-810,667-873,026-1,031,758-1,122,462-1,309,539-1,326,546-1,547,637-1,621,334-2,432,001-2,619,078-3,095,274-3,928,617-4,642,911-4,864,002-5,674,669-7,296,003-7,857,234-9,285,822-11,349,338-14,592,006-17,024,007-34,048,014-51,072,021-102,144,042

More Examples

Here are some more numbers to try:

102,144,040102,144,041102,144,043102,144,044
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