Q: What are the factor combinations of the number 147,726,377?

 A:
Positive:   1 x 14772637729 x 509401331 x 476536773 x 2023649899 x 1643232117 x 697812251 x 656272263 x 65279
Negative: -1 x -147726377-29 x -5094013-31 x -4765367-73 x -2023649-899 x -164323-2117 x -69781-2251 x -65627-2263 x -65279


How do I find the factor combinations of the number 147,726,377?

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 147,726,377, 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.

1 147,726,377
-1 -147,726,377

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 147,726,377.

Example:
1 x 147,726,377 = 147,726,377
and
-1 x -147,726,377 = 147,726,377
Notice both answers equal 147,726,377

With that explanation out of the way, let's continue. Next, we take the number 147,726,377 and divide it by 2:

147,726,377 ÷ 2 = 73,863,188.5

If the quotient is a whole number, then 2 and 73,863,188.5 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:

1 147,726,377
-1 -147,726,377

Now, we try dividing 147,726,377 by 3:

147,726,377 ÷ 3 = 49,242,125.6667

If the quotient is a whole number, then 3 and 49,242,125.6667 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:

1 147,726,377
-1 -147,726,377

Let's try dividing by 4:

147,726,377 ÷ 4 = 36,931,594.25

If the quotient is a whole number, then 4 and 36,931,594.25 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:

1 147,726,377
-1 147,726,377
Keep dividing by the next highest number until you cannot divide anymore.

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

12931738992,1172,2512,26365,27965,62769,781164,3232,023,6494,765,3675,094,013147,726,377
-1-29-31-73-899-2,117-2,251-2,263-65,279-65,627-69,781-164,323-2,023,649-4,765,367-5,094,013-147,726,377

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