Q: What are the factor combinations of the number 40,051,501?

 A:
Positive:   1 x 400515017 x 572164337 x 108247359 x 678839259 x 154639413 x 969772183 x 183472621 x 15281
Negative: -1 x -40051501-7 x -5721643-37 x -1082473-59 x -678839-259 x -154639-413 x -96977-2183 x -18347-2621 x -15281


How do I find the factor combinations of the number 40,051,501?

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 40,051,501, 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 40,051,501
-1 -40,051,501

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 40,051,501.

Example:
1 x 40,051,501 = 40,051,501
and
-1 x -40,051,501 = 40,051,501
Notice both answers equal 40,051,501

With that explanation out of the way, let's continue. Next, we take the number 40,051,501 and divide it by 2:

40,051,501 ÷ 2 = 20,025,750.5

If the quotient is a whole number, then 2 and 20,025,750.5 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 40,051,501
-1 -40,051,501

Now, we try dividing 40,051,501 by 3:

40,051,501 ÷ 3 = 13,350,500.3333

If the quotient is a whole number, then 3 and 13,350,500.3333 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 40,051,501
-1 -40,051,501

Let's try dividing by 4:

40,051,501 ÷ 4 = 10,012,875.25

If the quotient is a whole number, then 4 and 10,012,875.25 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 40,051,501
-1 40,051,501
Keep dividing by the next highest number until you cannot divide anymore.

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

1737592594132,1832,62115,28118,34796,977154,639678,8391,082,4735,721,64340,051,501
-1-7-37-59-259-413-2,183-2,621-15,281-18,347-96,977-154,639-678,839-1,082,473-5,721,643-40,051,501

More Examples

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