Q: What are the factor combinations of the number 67,344,768?

 A:
Positive:   1 x 673447682 x 336723843 x 224482564 x 168361926 x 112241288 x 84180969 x 748275212 x 561206416 x 420904818 x 374137624 x 280603232 x 210452436 x 187068848 x 140301653 x 127065664 x 105226272 x 93534496 x 701508106 x 635328128 x 526131144 x 467672159 x 423552192 x 350754212 x 317664288 x 233836318 x 211776384 x 175377424 x 158832477 x 141184576 x 116918636 x 105888848 x 79416954 x 705921103 x 610561152 x 584591272 x 529441696 x 397081908 x 352962206 x 305282544 x 264723309 x 203523392 x 198543816 x 176484412 x 152645088 x 132366618 x 101766784 x 99277632 x 8824
Negative: -1 x -67344768-2 x -33672384-3 x -22448256-4 x -16836192-6 x -11224128-8 x -8418096-9 x -7482752-12 x -5612064-16 x -4209048-18 x -3741376-24 x -2806032-32 x -2104524-36 x -1870688-48 x -1403016-53 x -1270656-64 x -1052262-72 x -935344-96 x -701508-106 x -635328-128 x -526131-144 x -467672-159 x -423552-192 x -350754-212 x -317664-288 x -233836-318 x -211776-384 x -175377-424 x -158832-477 x -141184-576 x -116918-636 x -105888-848 x -79416-954 x -70592-1103 x -61056-1152 x -58459-1272 x -52944-1696 x -39708-1908 x -35296-2206 x -30528-2544 x -26472-3309 x -20352-3392 x -19854-3816 x -17648-4412 x -15264-5088 x -13236-6618 x -10176-6784 x -9927-7632 x -8824


How do I find the factor combinations of the number 67,344,768?

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 67,344,768, 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 67,344,768
-1 -67,344,768

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 67,344,768.

Example:
1 x 67,344,768 = 67,344,768
and
-1 x -67,344,768 = 67,344,768
Notice both answers equal 67,344,768

With that explanation out of the way, let's continue. Next, we take the number 67,344,768 and divide it by 2:

67,344,768 ÷ 2 = 33,672,384

If the quotient is a whole number, then 2 and 33,672,384 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 33,672,384 67,344,768
-1 -2 -33,672,384 -67,344,768

Now, we try dividing 67,344,768 by 3:

67,344,768 ÷ 3 = 22,448,256

If the quotient is a whole number, then 3 and 22,448,256 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 22,448,256 33,672,384 67,344,768
-1 -2 -3 -22,448,256 -33,672,384 -67,344,768

Let's try dividing by 4:

67,344,768 ÷ 4 = 16,836,192

If the quotient is a whole number, then 4 and 16,836,192 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 16,836,192 22,448,256 33,672,384 67,344,768
-1 -2 -3 -4 -16,836,192 -22,448,256 -33,672,384 67,344,768
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912161824323648536472961061281441591922122883183844244775766368489541,1031,1521,2721,6961,9082,2062,5443,3093,3923,8164,4125,0886,6186,7847,6328,8249,92710,17613,23615,26417,64819,85420,35226,47230,52835,29639,70852,94458,45961,05670,59279,416105,888116,918141,184158,832175,377211,776233,836317,664350,754423,552467,672526,131635,328701,508935,3441,052,2621,270,6561,403,0161,870,6882,104,5242,806,0323,741,3764,209,0485,612,0647,482,7528,418,09611,224,12816,836,19222,448,25633,672,38467,344,768
-1-2-3-4-6-8-9-12-16-18-24-32-36-48-53-64-72-96-106-128-144-159-192-212-288-318-384-424-477-576-636-848-954-1,103-1,152-1,272-1,696-1,908-2,206-2,544-3,309-3,392-3,816-4,412-5,088-6,618-6,784-7,632-8,824-9,927-10,176-13,236-15,264-17,648-19,854-20,352-26,472-30,528-35,296-39,708-52,944-58,459-61,056-70,592-79,416-105,888-116,918-141,184-158,832-175,377-211,776-233,836-317,664-350,754-423,552-467,672-526,131-635,328-701,508-935,344-1,052,262-1,270,656-1,403,016-1,870,688-2,104,524-2,806,032-3,741,376-4,209,048-5,612,064-7,482,752-8,418,096-11,224,128-16,836,192-22,448,256-33,672,384-67,344,768

More Examples

Here are some more numbers to try:

67,344,76667,344,76767,344,76967,344,770
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