Q: What are the factor combinations of the number 160,548,725?

 A:
Positive:   1 x 1605487255 x 3210974525 x 6421949349 x 4600251745 x 920058725 x 18401
Negative: -1 x -160548725-5 x -32109745-25 x -6421949-349 x -460025-1745 x -92005-8725 x -18401


How do I find the factor combinations of the number 160,548,725?

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 160,548,725, 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.

1 160,548,725
-1 -160,548,725

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 160,548,725.

Example:
1 x 160,548,725 = 160,548,725
and
-1 x -160,548,725 = 160,548,725
Notice both answers equal 160,548,725

With that explanation out of the way, let's continue. Next, we take the number 160,548,725 and divide it by 2:

160,548,725 ÷ 2 = 80,274,362.5

If the quotient is a whole number, then 2 and 80,274,362.5 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:

1 160,548,725
-1 -160,548,725

Now, we try dividing 160,548,725 by 3:

160,548,725 ÷ 3 = 53,516,241.6667

If the quotient is a whole number, then 3 and 53,516,241.6667 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:

1 160,548,725
-1 -160,548,725

Let's try dividing by 4:

160,548,725 ÷ 4 = 40,137,181.25

If the quotient is a whole number, then 4 and 40,137,181.25 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:

1 160,548,725
-1 160,548,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15253491,7458,72518,40192,005460,0256,421,94932,109,745160,548,725
-1-5-25-349-1,745-8,725-18,401-92,005-460,025-6,421,949-32,109,745-160,548,725

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