Q: What are the factor combinations of the number 44,424,936?

 A:
Positive:   1 x 444249362 x 222124683 x 148083124 x 111062346 x 74041568 x 55531179 x 493610412 x 370207818 x 246805224 x 185103927 x 164536836 x 123402654 x 82268472 x 61701381 x 548456108 x 411342162 x 274228179 x 248184216 x 205671324 x 137114358 x 124092383 x 115992537 x 82728648 x 68557716 x 62046766 x 579961074 x 413641149 x 386641432 x 310231532 x 289981611 x 275762148 x 206822298 x 193323064 x 144993222 x 137883447 x 128884296 x 103414596 x 96664833 x 91926444 x 6894
Negative: -1 x -44424936-2 x -22212468-3 x -14808312-4 x -11106234-6 x -7404156-8 x -5553117-9 x -4936104-12 x -3702078-18 x -2468052-24 x -1851039-27 x -1645368-36 x -1234026-54 x -822684-72 x -617013-81 x -548456-108 x -411342-162 x -274228-179 x -248184-216 x -205671-324 x -137114-358 x -124092-383 x -115992-537 x -82728-648 x -68557-716 x -62046-766 x -57996-1074 x -41364-1149 x -38664-1432 x -31023-1532 x -28998-1611 x -27576-2148 x -20682-2298 x -19332-3064 x -14499-3222 x -13788-3447 x -12888-4296 x -10341-4596 x -9666-4833 x -9192-6444 x -6894


How do I find the factor combinations of the number 44,424,936?

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 44,424,936, 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 44,424,936
-1 -44,424,936

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 44,424,936.

Example:
1 x 44,424,936 = 44,424,936
and
-1 x -44,424,936 = 44,424,936
Notice both answers equal 44,424,936

With that explanation out of the way, let's continue. Next, we take the number 44,424,936 and divide it by 2:

44,424,936 ÷ 2 = 22,212,468

If the quotient is a whole number, then 2 and 22,212,468 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 22,212,468 44,424,936
-1 -2 -22,212,468 -44,424,936

Now, we try dividing 44,424,936 by 3:

44,424,936 ÷ 3 = 14,808,312

If the quotient is a whole number, then 3 and 14,808,312 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 14,808,312 22,212,468 44,424,936
-1 -2 -3 -14,808,312 -22,212,468 -44,424,936

Let's try dividing by 4:

44,424,936 ÷ 4 = 11,106,234

If the quotient is a whole number, then 4 and 11,106,234 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 11,106,234 14,808,312 22,212,468 44,424,936
-1 -2 -3 -4 -11,106,234 -14,808,312 -22,212,468 44,424,936
Keep dividing by the next highest number until you cannot divide anymore.

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

123468912182427365472811081621792163243583835376487167661,0741,1491,4321,5321,6112,1482,2983,0643,2223,4474,2964,5964,8336,4446,8949,1929,66610,34112,88813,78814,49919,33220,68227,57628,99831,02338,66441,36457,99662,04668,55782,728115,992124,092137,114205,671248,184274,228411,342548,456617,013822,6841,234,0261,645,3681,851,0392,468,0523,702,0784,936,1045,553,1177,404,15611,106,23414,808,31222,212,46844,424,936
-1-2-3-4-6-8-9-12-18-24-27-36-54-72-81-108-162-179-216-324-358-383-537-648-716-766-1,074-1,149-1,432-1,532-1,611-2,148-2,298-3,064-3,222-3,447-4,296-4,596-4,833-6,444-6,894-9,192-9,666-10,341-12,888-13,788-14,499-19,332-20,682-27,576-28,998-31,023-38,664-41,364-57,996-62,046-68,557-82,728-115,992-124,092-137,114-205,671-248,184-274,228-411,342-548,456-617,013-822,684-1,234,026-1,645,368-1,851,039-2,468,052-3,702,078-4,936,104-5,553,117-7,404,156-11,106,234-14,808,312-22,212,468-44,424,936

More Examples

Here are some more numbers to try:

44,424,93444,424,93544,424,93744,424,938
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