Q: What are the factor combinations of the number 160,101,125?

 A:
Positive:   1 x 1601011255 x 3202022519 x 842637525 x 640404595 x 1685275125 x 1280809475 x 3370552375 x 67411
Negative: -1 x -160101125-5 x -32020225-19 x -8426375-25 x -6404045-95 x -1685275-125 x -1280809-475 x -337055-2375 x -67411


How do I find the factor combinations of the number 160,101,125?

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 160,101,125, 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.

1 160,101,125
-1 -160,101,125

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 160,101,125.

Example:
1 x 160,101,125 = 160,101,125
and
-1 x -160,101,125 = 160,101,125
Notice both answers equal 160,101,125

With that explanation out of the way, let's continue. Next, we take the number 160,101,125 and divide it by 2:

160,101,125 ÷ 2 = 80,050,562.5

If the quotient is a whole number, then 2 and 80,050,562.5 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:

1 160,101,125
-1 -160,101,125

Now, we try dividing 160,101,125 by 3:

160,101,125 ÷ 3 = 53,367,041.6667

If the quotient is a whole number, then 3 and 53,367,041.6667 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:

1 160,101,125
-1 -160,101,125

Let's try dividing by 4:

160,101,125 ÷ 4 = 40,025,281.25

If the quotient is a whole number, then 4 and 40,025,281.25 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:

1 160,101,125
-1 160,101,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,37567,411337,0551,280,8091,685,2756,404,0458,426,37532,020,225160,101,125
-1-5-19-25-95-125-475-2,375-67,411-337,055-1,280,809-1,685,275-6,404,045-8,426,375-32,020,225-160,101,125

More Examples

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