Q: What are the factor combinations of the number 38,443,405?

 A:
Positive:   1 x 384434055 x 76886817 x 549191511 x 349485513 x 295718535 x 109838355 x 69897165 x 59143777 x 49926591 x 422455143 x 268835385 x 99853455 x 84491715 x 537671001 x 384055005 x 7681
Negative: -1 x -38443405-5 x -7688681-7 x -5491915-11 x -3494855-13 x -2957185-35 x -1098383-55 x -698971-65 x -591437-77 x -499265-91 x -422455-143 x -268835-385 x -99853-455 x -84491-715 x -53767-1001 x -38405-5005 x -7681


How do I find the factor combinations of the number 38,443,405?

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 38,443,405, 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 38,443,405
-1 -38,443,405

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 38,443,405.

Example:
1 x 38,443,405 = 38,443,405
and
-1 x -38,443,405 = 38,443,405
Notice both answers equal 38,443,405

With that explanation out of the way, let's continue. Next, we take the number 38,443,405 and divide it by 2:

38,443,405 ÷ 2 = 19,221,702.5

If the quotient is a whole number, then 2 and 19,221,702.5 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 38,443,405
-1 -38,443,405

Now, we try dividing 38,443,405 by 3:

38,443,405 ÷ 3 = 12,814,468.3333

If the quotient is a whole number, then 3 and 12,814,468.3333 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 38,443,405
-1 -38,443,405

Let's try dividing by 4:

38,443,405 ÷ 4 = 9,610,851.25

If the quotient is a whole number, then 4 and 9,610,851.25 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 38,443,405
-1 38,443,405
Keep dividing by the next highest number until you cannot divide anymore.

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

157111335556577911433854557151,0015,0057,68138,40553,76784,49199,853268,835422,455499,265591,437698,9711,098,3832,957,1853,494,8555,491,9157,688,68138,443,405
-1-5-7-11-13-35-55-65-77-91-143-385-455-715-1,001-5,005-7,681-38,405-53,767-84,491-99,853-268,835-422,455-499,265-591,437-698,971-1,098,383-2,957,185-3,494,855-5,491,915-7,688,681-38,443,405

More Examples

Here are some more numbers to try:

38,443,40338,443,40438,443,40638,443,407
Try the factor calculator

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