Q: What are the factor combinations of the number 160,124,825?

 A:
Positive:   1 x 1601248255 x 320249657 x 2287497525 x 640499335 x 4574995175 x 914999593 x 2700251543 x 1037752965 x 540054151 x 385757715 x 2075510801 x 14825
Negative: -1 x -160124825-5 x -32024965-7 x -22874975-25 x -6404993-35 x -4574995-175 x -914999-593 x -270025-1543 x -103775-2965 x -54005-4151 x -38575-7715 x -20755-10801 x -14825


How do I find the factor combinations of the number 160,124,825?

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 160,124,825, 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.

1 160,124,825
-1 -160,124,825

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 160,124,825.

Example:
1 x 160,124,825 = 160,124,825
and
-1 x -160,124,825 = 160,124,825
Notice both answers equal 160,124,825

With that explanation out of the way, let's continue. Next, we take the number 160,124,825 and divide it by 2:

160,124,825 ÷ 2 = 80,062,412.5

If the quotient is a whole number, then 2 and 80,062,412.5 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:

1 160,124,825
-1 -160,124,825

Now, we try dividing 160,124,825 by 3:

160,124,825 ÷ 3 = 53,374,941.6667

If the quotient is a whole number, then 3 and 53,374,941.6667 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:

1 160,124,825
-1 -160,124,825

Let's try dividing by 4:

160,124,825 ÷ 4 = 40,031,206.25

If the quotient is a whole number, then 4 and 40,031,206.25 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:

1 160,124,825
-1 160,124,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351755931,5432,9654,1517,71510,80114,82520,75538,57554,005103,775270,025914,9994,574,9956,404,99322,874,97532,024,965160,124,825
-1-5-7-25-35-175-593-1,543-2,965-4,151-7,715-10,801-14,825-20,755-38,575-54,005-103,775-270,025-914,999-4,574,995-6,404,993-22,874,975-32,024,965-160,124,825

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