Q: What are the factor combinations of the number 901,615?

 A:
Positive:   1 x 9016155 x 18032311 x 8196513 x 6935555 x 1639365 x 1387197 x 9295143 x 6305169 x 5335485 x 1859715 x 1261845 x 1067
Negative: -1 x -901615-5 x -180323-11 x -81965-13 x -69355-55 x -16393-65 x -13871-97 x -9295-143 x -6305-169 x -5335-485 x -1859-715 x -1261-845 x -1067


How do I find the factor combinations of the number 901,615?

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 901,615, 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.

1 901,615
-1 -901,615

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 901,615.

Example:
1 x 901,615 = 901,615
and
-1 x -901,615 = 901,615
Notice both answers equal 901,615

With that explanation out of the way, let's continue. Next, we take the number 901,615 and divide it by 2:

901,615 ÷ 2 = 450,807.5

If the quotient is a whole number, then 2 and 450,807.5 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:

1 901,615
-1 -901,615

Now, we try dividing 901,615 by 3:

901,615 ÷ 3 = 300,538.3333

If the quotient is a whole number, then 3 and 300,538.3333 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:

1 901,615
-1 -901,615

Let's try dividing by 4:

901,615 ÷ 4 = 225,403.75

If the quotient is a whole number, then 4 and 225,403.75 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:

1 901,615
-1 901,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1511135565971431694857158451,0671,2611,8595,3356,3059,29513,87116,39369,35581,965180,323901,615
-1-5-11-13-55-65-97-143-169-485-715-845-1,067-1,261-1,859-5,335-6,305-9,295-13,871-16,393-69,355-81,965-180,323-901,615

More Examples

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