Q: What are the factor combinations of the number 38,613,792?

 A:
Positive:   1 x 386137922 x 193068963 x 128712644 x 96534486 x 64356327 x 55162568 x 482672412 x 321781614 x 275812816 x 241336221 x 183875224 x 160890828 x 137906432 x 120668137 x 104361642 x 91937648 x 80445456 x 68953274 x 52180884 x 45968896 x 402227111 x 347872112 x 344766148 x 260904168 x 229844222 x 173936224 x 172383259 x 149088296 x 130452336 x 114922444 x 86968518 x 74544592 x 65226672 x 57461777 x 49696888 x 434841036 x 372721184 x 326131553 x 248641554 x 248481776 x 217422072 x 186363106 x 124323108 x 124243552 x 108714144 x 93184659 x 82886212 x 6216
Negative: -1 x -38613792-2 x -19306896-3 x -12871264-4 x -9653448-6 x -6435632-7 x -5516256-8 x -4826724-12 x -3217816-14 x -2758128-16 x -2413362-21 x -1838752-24 x -1608908-28 x -1379064-32 x -1206681-37 x -1043616-42 x -919376-48 x -804454-56 x -689532-74 x -521808-84 x -459688-96 x -402227-111 x -347872-112 x -344766-148 x -260904-168 x -229844-222 x -173936-224 x -172383-259 x -149088-296 x -130452-336 x -114922-444 x -86968-518 x -74544-592 x -65226-672 x -57461-777 x -49696-888 x -43484-1036 x -37272-1184 x -32613-1553 x -24864-1554 x -24848-1776 x -21742-2072 x -18636-3106 x -12432-3108 x -12424-3552 x -10871-4144 x -9318-4659 x -8288-6212 x -6216


How do I find the factor combinations of the number 38,613,792?

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 38,613,792, 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 38,613,792
-1 -38,613,792

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 38,613,792.

Example:
1 x 38,613,792 = 38,613,792
and
-1 x -38,613,792 = 38,613,792
Notice both answers equal 38,613,792

With that explanation out of the way, let's continue. Next, we take the number 38,613,792 and divide it by 2:

38,613,792 ÷ 2 = 19,306,896

If the quotient is a whole number, then 2 and 19,306,896 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 19,306,896 38,613,792
-1 -2 -19,306,896 -38,613,792

Now, we try dividing 38,613,792 by 3:

38,613,792 ÷ 3 = 12,871,264

If the quotient is a whole number, then 3 and 12,871,264 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 12,871,264 19,306,896 38,613,792
-1 -2 -3 -12,871,264 -19,306,896 -38,613,792

Let's try dividing by 4:

38,613,792 ÷ 4 = 9,653,448

If the quotient is a whole number, then 4 and 9,653,448 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 9,653,448 12,871,264 19,306,896 38,613,792
-1 -2 -3 -4 -9,653,448 -12,871,264 -19,306,896 38,613,792
Keep dividing by the next highest number until you cannot divide anymore.

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

123467812141621242832374248567484961111121481682222242592963364445185926727778881,0361,1841,5531,5541,7762,0723,1063,1083,5524,1444,6596,2126,2168,2889,31810,87112,42412,43218,63621,74224,84824,86432,61337,27243,48449,69657,46165,22674,54486,968114,922130,452149,088172,383173,936229,844260,904344,766347,872402,227459,688521,808689,532804,454919,3761,043,6161,206,6811,379,0641,608,9081,838,7522,413,3622,758,1283,217,8164,826,7245,516,2566,435,6329,653,44812,871,26419,306,89638,613,792
-1-2-3-4-6-7-8-12-14-16-21-24-28-32-37-42-48-56-74-84-96-111-112-148-168-222-224-259-296-336-444-518-592-672-777-888-1,036-1,184-1,553-1,554-1,776-2,072-3,106-3,108-3,552-4,144-4,659-6,212-6,216-8,288-9,318-10,871-12,424-12,432-18,636-21,742-24,848-24,864-32,613-37,272-43,484-49,696-57,461-65,226-74,544-86,968-114,922-130,452-149,088-172,383-173,936-229,844-260,904-344,766-347,872-402,227-459,688-521,808-689,532-804,454-919,376-1,043,616-1,206,681-1,379,064-1,608,908-1,838,752-2,413,362-2,758,128-3,217,816-4,826,724-5,516,256-6,435,632-9,653,448-12,871,264-19,306,896-38,613,792

More Examples

Here are some more numbers to try:

38,613,79038,613,79138,613,79338,613,794
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