Q: What are the factor combinations of the number 400,501?

 A:
Positive:   1 x 40050119 x 21079107 x 3743197 x 2033
Negative: -1 x -400501-19 x -21079-107 x -3743-197 x -2033


How do I find the factor combinations of the number 400,501?

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 400,501, 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.

1 400,501
-1 -400,501

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 400,501.

Example:
1 x 400,501 = 400,501
and
-1 x -400,501 = 400,501
Notice both answers equal 400,501

With that explanation out of the way, let's continue. Next, we take the number 400,501 and divide it by 2:

400,501 ÷ 2 = 200,250.5

If the quotient is a whole number, then 2 and 200,250.5 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:

1 400,501
-1 -400,501

Now, we try dividing 400,501 by 3:

400,501 ÷ 3 = 133,500.3333

If the quotient is a whole number, then 3 and 133,500.3333 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:

1 400,501
-1 -400,501

Let's try dividing by 4:

400,501 ÷ 4 = 100,125.25

If the quotient is a whole number, then 4 and 100,125.25 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:

1 400,501
-1 400,501
Keep dividing by the next highest number until you cannot divide anymore.

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

1191071972,0333,74321,079400,501
-1-19-107-197-2,033-3,743-21,079-400,501

More Examples

Here are some more numbers to try:

Try the factor calculator

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