Q: What are the factor combinations of the number 36,452,731?

 A:
Positive:   1 x 364527317 x 520753341 x 889091157 x 232183287 x 127013809 x 450591099 x 331695663 x 6437
Negative: -1 x -36452731-7 x -5207533-41 x -889091-157 x -232183-287 x -127013-809 x -45059-1099 x -33169-5663 x -6437


How do I find the factor combinations of the number 36,452,731?

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 36,452,731, 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 36,452,731
-1 -36,452,731

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 36,452,731.

Example:
1 x 36,452,731 = 36,452,731
and
-1 x -36,452,731 = 36,452,731
Notice both answers equal 36,452,731

With that explanation out of the way, let's continue. Next, we take the number 36,452,731 and divide it by 2:

36,452,731 ÷ 2 = 18,226,365.5

If the quotient is a whole number, then 2 and 18,226,365.5 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 36,452,731
-1 -36,452,731

Now, we try dividing 36,452,731 by 3:

36,452,731 ÷ 3 = 12,150,910.3333

If the quotient is a whole number, then 3 and 12,150,910.3333 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 36,452,731
-1 -36,452,731

Let's try dividing by 4:

36,452,731 ÷ 4 = 9,113,182.75

If the quotient is a whole number, then 4 and 9,113,182.75 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 36,452,731
-1 36,452,731
Keep dividing by the next highest number until you cannot divide anymore.

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

17411572878091,0995,6636,43733,16945,059127,013232,183889,0915,207,53336,452,731
-1-7-41-157-287-809-1,099-5,663-6,437-33,169-45,059-127,013-232,183-889,091-5,207,533-36,452,731

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