Q: What are the factor combinations of the number 40,146,457?

 A:
Positive:   1 x 4014645713 x 308818931 x 129504779 x 50818397 x 413881169 x 237553403 x 996191027 x 390911261 x 318372449 x 163933007 x 133515239 x 7663
Negative: -1 x -40146457-13 x -3088189-31 x -1295047-79 x -508183-97 x -413881-169 x -237553-403 x -99619-1027 x -39091-1261 x -31837-2449 x -16393-3007 x -13351-5239 x -7663


How do I find the factor combinations of the number 40,146,457?

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 40,146,457, 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 40,146,457
-1 -40,146,457

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 40,146,457.

Example:
1 x 40,146,457 = 40,146,457
and
-1 x -40,146,457 = 40,146,457
Notice both answers equal 40,146,457

With that explanation out of the way, let's continue. Next, we take the number 40,146,457 and divide it by 2:

40,146,457 ÷ 2 = 20,073,228.5

If the quotient is a whole number, then 2 and 20,073,228.5 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 40,146,457
-1 -40,146,457

Now, we try dividing 40,146,457 by 3:

40,146,457 ÷ 3 = 13,382,152.3333

If the quotient is a whole number, then 3 and 13,382,152.3333 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 40,146,457
-1 -40,146,457

Let's try dividing by 4:

40,146,457 ÷ 4 = 10,036,614.25

If the quotient is a whole number, then 4 and 10,036,614.25 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 40,146,457
-1 40,146,457
Keep dividing by the next highest number until you cannot divide anymore.

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

1133179971694031,0271,2612,4493,0075,2397,66313,35116,39331,83739,09199,619237,553413,881508,1831,295,0473,088,18940,146,457
-1-13-31-79-97-169-403-1,027-1,261-2,449-3,007-5,239-7,663-13,351-16,393-31,837-39,091-99,619-237,553-413,881-508,183-1,295,047-3,088,189-40,146,457

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