Q: What are the factor combinations of the number 38,697,745?

 A:
Positive:   1 x 386977455 x 773954929 x 133440537 x 1045885145 x 266881185 x 2091771073 x 360655365 x 7213
Negative: -1 x -38697745-5 x -7739549-29 x -1334405-37 x -1045885-145 x -266881-185 x -209177-1073 x -36065-5365 x -7213


How do I find the factor combinations of the number 38,697,745?

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 38,697,745, 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 38,697,745
-1 -38,697,745

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 38,697,745.

Example:
1 x 38,697,745 = 38,697,745
and
-1 x -38,697,745 = 38,697,745
Notice both answers equal 38,697,745

With that explanation out of the way, let's continue. Next, we take the number 38,697,745 and divide it by 2:

38,697,745 ÷ 2 = 19,348,872.5

If the quotient is a whole number, then 2 and 19,348,872.5 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 38,697,745
-1 -38,697,745

Now, we try dividing 38,697,745 by 3:

38,697,745 ÷ 3 = 12,899,248.3333

If the quotient is a whole number, then 3 and 12,899,248.3333 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 38,697,745
-1 -38,697,745

Let's try dividing by 4:

38,697,745 ÷ 4 = 9,674,436.25

If the quotient is a whole number, then 4 and 9,674,436.25 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 38,697,745
-1 38,697,745
Keep dividing by the next highest number until you cannot divide anymore.

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

1529371451851,0735,3657,21336,065209,177266,8811,045,8851,334,4057,739,54938,697,745
-1-5-29-37-145-185-1,073-5,365-7,213-36,065-209,177-266,881-1,045,885-1,334,405-7,739,549-38,697,745

More Examples

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