Q: What are the factor combinations of the number 48,413,430?

 A:
Positive:   1 x 484134302 x 242067153 x 161378105 x 96826866 x 80689059 x 537927010 x 484134313 x 372411015 x 322756218 x 268963526 x 186205527 x 179309030 x 161378139 x 124137045 x 107585454 x 89654565 x 74482278 x 62068590 x 537927117 x 413790130 x 372411135 x 358618169 x 286470195 x 248274234 x 206895270 x 179309338 x 143235351 x 137930390 x 124137507 x 95490585 x 82758702 x 68965845 x 572941014 x 477451061 x 456301170 x 413791521 x 318301690 x 286471755 x 275862122 x 228152535 x 190983042 x 159153183 x 152103510 x 137934563 x 106105070 x 95495305 x 91266366 x 7605
Negative: -1 x -48413430-2 x -24206715-3 x -16137810-5 x -9682686-6 x -8068905-9 x -5379270-10 x -4841343-13 x -3724110-15 x -3227562-18 x -2689635-26 x -1862055-27 x -1793090-30 x -1613781-39 x -1241370-45 x -1075854-54 x -896545-65 x -744822-78 x -620685-90 x -537927-117 x -413790-130 x -372411-135 x -358618-169 x -286470-195 x -248274-234 x -206895-270 x -179309-338 x -143235-351 x -137930-390 x -124137-507 x -95490-585 x -82758-702 x -68965-845 x -57294-1014 x -47745-1061 x -45630-1170 x -41379-1521 x -31830-1690 x -28647-1755 x -27586-2122 x -22815-2535 x -19098-3042 x -15915-3183 x -15210-3510 x -13793-4563 x -10610-5070 x -9549-5305 x -9126-6366 x -7605


How do I find the factor combinations of the number 48,413,430?

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 48,413,430, 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 48,413,430
-1 -48,413,430

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 48,413,430.

Example:
1 x 48,413,430 = 48,413,430
and
-1 x -48,413,430 = 48,413,430
Notice both answers equal 48,413,430

With that explanation out of the way, let's continue. Next, we take the number 48,413,430 and divide it by 2:

48,413,430 ÷ 2 = 24,206,715

If the quotient is a whole number, then 2 and 24,206,715 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 24,206,715 48,413,430
-1 -2 -24,206,715 -48,413,430

Now, we try dividing 48,413,430 by 3:

48,413,430 ÷ 3 = 16,137,810

If the quotient is a whole number, then 3 and 16,137,810 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 16,137,810 24,206,715 48,413,430
-1 -2 -3 -16,137,810 -24,206,715 -48,413,430

Let's try dividing by 4:

48,413,430 ÷ 4 = 12,103,357.5

If the quotient is a whole number, then 4 and 12,103,357.5 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 16,137,810 24,206,715 48,413,430
-1 -2 -3 -16,137,810 -24,206,715 48,413,430
Keep dividing by the next highest number until you cannot divide anymore.

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

123569101315182627303945546578901171301351691952342703383513905075857028451,0141,0611,1701,5211,6901,7552,1222,5353,0423,1833,5104,5635,0705,3056,3667,6059,1269,54910,61013,79315,21015,91519,09822,81527,58628,64731,83041,37945,63047,74557,29468,96582,75895,490124,137137,930143,235179,309206,895248,274286,470358,618372,411413,790537,927620,685744,822896,5451,075,8541,241,3701,613,7811,793,0901,862,0552,689,6353,227,5623,724,1104,841,3435,379,2708,068,9059,682,68616,137,81024,206,71548,413,430
-1-2-3-5-6-9-10-13-15-18-26-27-30-39-45-54-65-78-90-117-130-135-169-195-234-270-338-351-390-507-585-702-845-1,014-1,061-1,170-1,521-1,690-1,755-2,122-2,535-3,042-3,183-3,510-4,563-5,070-5,305-6,366-7,605-9,126-9,549-10,610-13,793-15,210-15,915-19,098-22,815-27,586-28,647-31,830-41,379-45,630-47,745-57,294-68,965-82,758-95,490-124,137-137,930-143,235-179,309-206,895-248,274-286,470-358,618-372,411-413,790-537,927-620,685-744,822-896,545-1,075,854-1,241,370-1,613,781-1,793,090-1,862,055-2,689,635-3,227,562-3,724,110-4,841,343-5,379,270-8,068,905-9,682,686-16,137,810-24,206,715-48,413,430

More Examples

Here are some more numbers to try:

48,413,42848,413,42948,413,43148,413,432
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