Q: What are the factor combinations of the number 40,310,053?

 A:
Positive:   1 x 403100537 x 575857923 x 1752611109 x 369817161 x 250373763 x 528312297 x 175492507 x 16079
Negative: -1 x -40310053-7 x -5758579-23 x -1752611-109 x -369817-161 x -250373-763 x -52831-2297 x -17549-2507 x -16079


How do I find the factor combinations of the number 40,310,053?

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 40,310,053, 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 40,310,053
-1 -40,310,053

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 40,310,053.

Example:
1 x 40,310,053 = 40,310,053
and
-1 x -40,310,053 = 40,310,053
Notice both answers equal 40,310,053

With that explanation out of the way, let's continue. Next, we take the number 40,310,053 and divide it by 2:

40,310,053 ÷ 2 = 20,155,026.5

If the quotient is a whole number, then 2 and 20,155,026.5 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 40,310,053
-1 -40,310,053

Now, we try dividing 40,310,053 by 3:

40,310,053 ÷ 3 = 13,436,684.3333

If the quotient is a whole number, then 3 and 13,436,684.3333 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 40,310,053
-1 -40,310,053

Let's try dividing by 4:

40,310,053 ÷ 4 = 10,077,513.25

If the quotient is a whole number, then 4 and 10,077,513.25 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 40,310,053
-1 40,310,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17231091617632,2972,50716,07917,54952,831250,373369,8171,752,6115,758,57940,310,053
-1-7-23-109-161-763-2,297-2,507-16,079-17,549-52,831-250,373-369,817-1,752,611-5,758,579-40,310,053

More Examples

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