Q: What are the factor combinations of the number 179,426,045?

 A:
Positive:   1 x 1794260455 x 3588520929 x 618710541 x 4376245145 x 1237421205 x 8752491189 x 1509055945 x 30181
Negative: -1 x -179426045-5 x -35885209-29 x -6187105-41 x -4376245-145 x -1237421-205 x -875249-1189 x -150905-5945 x -30181


How do I find the factor combinations of the number 179,426,045?

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 179,426,045, 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.

1 179,426,045
-1 -179,426,045

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 179,426,045.

Example:
1 x 179,426,045 = 179,426,045
and
-1 x -179,426,045 = 179,426,045
Notice both answers equal 179,426,045

With that explanation out of the way, let's continue. Next, we take the number 179,426,045 and divide it by 2:

179,426,045 ÷ 2 = 89,713,022.5

If the quotient is a whole number, then 2 and 89,713,022.5 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:

1 179,426,045
-1 -179,426,045

Now, we try dividing 179,426,045 by 3:

179,426,045 ÷ 3 = 59,808,681.6667

If the quotient is a whole number, then 3 and 59,808,681.6667 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:

1 179,426,045
-1 -179,426,045

Let's try dividing by 4:

179,426,045 ÷ 4 = 44,856,511.25

If the quotient is a whole number, then 4 and 44,856,511.25 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:

1 179,426,045
-1 179,426,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1529411452051,1895,94530,181150,905875,2491,237,4214,376,2456,187,10535,885,209179,426,045
-1-5-29-41-145-205-1,189-5,945-30,181-150,905-875,249-1,237,421-4,376,245-6,187,105-35,885,209-179,426,045

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