Q: What are the factor combinations of the number 160,022,225?

 A:
Positive:   1 x 1600222255 x 3200444511 x 1454747525 x 640088937 x 432492555 x 2909495185 x 864985275 x 581899407 x 393175925 x 1729972035 x 7863510175 x 15727
Negative: -1 x -160022225-5 x -32004445-11 x -14547475-25 x -6400889-37 x -4324925-55 x -2909495-185 x -864985-275 x -581899-407 x -393175-925 x -172997-2035 x -78635-10175 x -15727


How do I find the factor combinations of the number 160,022,225?

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 160,022,225, 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.

1 160,022,225
-1 -160,022,225

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 160,022,225.

Example:
1 x 160,022,225 = 160,022,225
and
-1 x -160,022,225 = 160,022,225
Notice both answers equal 160,022,225

With that explanation out of the way, let's continue. Next, we take the number 160,022,225 and divide it by 2:

160,022,225 ÷ 2 = 80,011,112.5

If the quotient is a whole number, then 2 and 80,011,112.5 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:

1 160,022,225
-1 -160,022,225

Now, we try dividing 160,022,225 by 3:

160,022,225 ÷ 3 = 53,340,741.6667

If the quotient is a whole number, then 3 and 53,340,741.6667 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:

1 160,022,225
-1 -160,022,225

Let's try dividing by 4:

160,022,225 ÷ 4 = 40,005,556.25

If the quotient is a whole number, then 4 and 40,005,556.25 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:

1 160,022,225
-1 160,022,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551852754079252,03510,17515,72778,635172,997393,175581,899864,9852,909,4954,324,9256,400,88914,547,47532,004,445160,022,225
-1-5-11-25-37-55-185-275-407-925-2,035-10,175-15,727-78,635-172,997-393,175-581,899-864,985-2,909,495-4,324,925-6,400,889-14,547,475-32,004,445-160,022,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 160,022,225:


Ask a Question