Q: What are the factor combinations of the number 160,323,425?

 A:
Positive:   1 x 1603234255 x 3206468519 x 843807525 x 641293795 x 1687615173 x 926725475 x 337523865 x 1853451951 x 821753287 x 487754325 x 370699755 x 16435
Negative: -1 x -160323425-5 x -32064685-19 x -8438075-25 x -6412937-95 x -1687615-173 x -926725-475 x -337523-865 x -185345-1951 x -82175-3287 x -48775-4325 x -37069-9755 x -16435


How do I find the factor combinations of the number 160,323,425?

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 160,323,425, 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.

1 160,323,425
-1 -160,323,425

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 160,323,425.

Example:
1 x 160,323,425 = 160,323,425
and
-1 x -160,323,425 = 160,323,425
Notice both answers equal 160,323,425

With that explanation out of the way, let's continue. Next, we take the number 160,323,425 and divide it by 2:

160,323,425 ÷ 2 = 80,161,712.5

If the quotient is a whole number, then 2 and 80,161,712.5 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:

1 160,323,425
-1 -160,323,425

Now, we try dividing 160,323,425 by 3:

160,323,425 ÷ 3 = 53,441,141.6667

If the quotient is a whole number, then 3 and 53,441,141.6667 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:

1 160,323,425
-1 -160,323,425

Let's try dividing by 4:

160,323,425 ÷ 4 = 40,080,856.25

If the quotient is a whole number, then 4 and 40,080,856.25 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:

1 160,323,425
-1 160,323,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951734758651,9513,2874,3259,75516,43537,06948,77582,175185,345337,523926,7251,687,6156,412,9378,438,07532,064,685160,323,425
-1-5-19-25-95-173-475-865-1,951-3,287-4,325-9,755-16,435-37,069-48,775-82,175-185,345-337,523-926,725-1,687,615-6,412,937-8,438,075-32,064,685-160,323,425

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