Q: What are the factor combinations of the number 103,472,377?

 A:
Positive:   1 x 10347237723 x 449879929 x 356801353 x 1952309667 x 1551311219 x 848831537 x 673212927 x 35351
Negative: -1 x -103472377-23 x -4498799-29 x -3568013-53 x -1952309-667 x -155131-1219 x -84883-1537 x -67321-2927 x -35351


How do I find the factor combinations of the number 103,472,377?

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 103,472,377, 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.

1 103,472,377
-1 -103,472,377

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 103,472,377.

Example:
1 x 103,472,377 = 103,472,377
and
-1 x -103,472,377 = 103,472,377
Notice both answers equal 103,472,377

With that explanation out of the way, let's continue. Next, we take the number 103,472,377 and divide it by 2:

103,472,377 ÷ 2 = 51,736,188.5

If the quotient is a whole number, then 2 and 51,736,188.5 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:

1 103,472,377
-1 -103,472,377

Now, we try dividing 103,472,377 by 3:

103,472,377 ÷ 3 = 34,490,792.3333

If the quotient is a whole number, then 3 and 34,490,792.3333 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:

1 103,472,377
-1 -103,472,377

Let's try dividing by 4:

103,472,377 ÷ 4 = 25,868,094.25

If the quotient is a whole number, then 4 and 25,868,094.25 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:

1 103,472,377
-1 103,472,377
Keep dividing by the next highest number until you cannot divide anymore.

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

12329536671,2191,5372,92735,35167,32184,883155,1311,952,3093,568,0134,498,799103,472,377
-1-23-29-53-667-1,219-1,537-2,927-35,351-67,321-84,883-155,131-1,952,309-3,568,013-4,498,799-103,472,377

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