Q: What are the factor combinations of the number 40,023,137?

 A:
Positive:   1 x 400231377 x 571759111 x 363846761 x 65611777 x 519781427 x 93731671 x 596474697 x 8521
Negative: -1 x -40023137-7 x -5717591-11 x -3638467-61 x -656117-77 x -519781-427 x -93731-671 x -59647-4697 x -8521


How do I find the factor combinations of the number 40,023,137?

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 40,023,137, 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 40,023,137
-1 -40,023,137

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 40,023,137.

Example:
1 x 40,023,137 = 40,023,137
and
-1 x -40,023,137 = 40,023,137
Notice both answers equal 40,023,137

With that explanation out of the way, let's continue. Next, we take the number 40,023,137 and divide it by 2:

40,023,137 ÷ 2 = 20,011,568.5

If the quotient is a whole number, then 2 and 20,011,568.5 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 40,023,137
-1 -40,023,137

Now, we try dividing 40,023,137 by 3:

40,023,137 ÷ 3 = 13,341,045.6667

If the quotient is a whole number, then 3 and 13,341,045.6667 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 40,023,137
-1 -40,023,137

Let's try dividing by 4:

40,023,137 ÷ 4 = 10,005,784.25

If the quotient is a whole number, then 4 and 10,005,784.25 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 40,023,137
-1 40,023,137
Keep dividing by the next highest number until you cannot divide anymore.

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

171161774276714,6978,52159,64793,731519,781656,1173,638,4675,717,59140,023,137
-1-7-11-61-77-427-671-4,697-8,521-59,647-93,731-519,781-656,117-3,638,467-5,717,591-40,023,137

More Examples

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