Q: What are the factor combinations of the number 15,938,377?

 A:
Positive:   1 x 159383777 x 227691113 x 122602949 x 32527391 x 175147131 x 121667191 x 83447637 x 25021917 x 173811337 x 119211703 x 93592483 x 6419
Negative: -1 x -15938377-7 x -2276911-13 x -1226029-49 x -325273-91 x -175147-131 x -121667-191 x -83447-637 x -25021-917 x -17381-1337 x -11921-1703 x -9359-2483 x -6419


How do I find the factor combinations of the number 15,938,377?

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 15,938,377, 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 15,938,377
-1 -15,938,377

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 15,938,377.

Example:
1 x 15,938,377 = 15,938,377
and
-1 x -15,938,377 = 15,938,377
Notice both answers equal 15,938,377

With that explanation out of the way, let's continue. Next, we take the number 15,938,377 and divide it by 2:

15,938,377 ÷ 2 = 7,969,188.5

If the quotient is a whole number, then 2 and 7,969,188.5 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 15,938,377
-1 -15,938,377

Now, we try dividing 15,938,377 by 3:

15,938,377 ÷ 3 = 5,312,792.3333

If the quotient is a whole number, then 3 and 5,312,792.3333 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 15,938,377
-1 -15,938,377

Let's try dividing by 4:

15,938,377 ÷ 4 = 3,984,594.25

If the quotient is a whole number, then 4 and 3,984,594.25 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 15,938,377
-1 15,938,377
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911311916379171,3371,7032,4836,4199,35911,92117,38125,02183,447121,667175,147325,2731,226,0292,276,91115,938,377
-1-7-13-49-91-131-191-637-917-1,337-1,703-2,483-6,419-9,359-11,921-17,381-25,021-83,447-121,667-175,147-325,273-1,226,029-2,276,911-15,938,377

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