Q: What are the factor combinations of the number 111,037,829?

 A:
Positive:   1 x 1110378297 x 1586254717 x 653163747 x 2362507119 x 933091329 x 337501799 x 1389715593 x 19853
Negative: -1 x -111037829-7 x -15862547-17 x -6531637-47 x -2362507-119 x -933091-329 x -337501-799 x -138971-5593 x -19853


How do I find the factor combinations of the number 111,037,829?

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 111,037,829, 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.

1 111,037,829
-1 -111,037,829

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 111,037,829.

Example:
1 x 111,037,829 = 111,037,829
and
-1 x -111,037,829 = 111,037,829
Notice both answers equal 111,037,829

With that explanation out of the way, let's continue. Next, we take the number 111,037,829 and divide it by 2:

111,037,829 ÷ 2 = 55,518,914.5

If the quotient is a whole number, then 2 and 55,518,914.5 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:

1 111,037,829
-1 -111,037,829

Now, we try dividing 111,037,829 by 3:

111,037,829 ÷ 3 = 37,012,609.6667

If the quotient is a whole number, then 3 and 37,012,609.6667 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:

1 111,037,829
-1 -111,037,829

Let's try dividing by 4:

111,037,829 ÷ 4 = 27,759,457.25

If the quotient is a whole number, then 4 and 27,759,457.25 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:

1 111,037,829
-1 111,037,829
Keep dividing by the next highest number until you cannot divide anymore.

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

1717471193297995,59319,853138,971337,501933,0912,362,5076,531,63715,862,547111,037,829
-1-7-17-47-119-329-799-5,593-19,853-138,971-337,501-933,091-2,362,507-6,531,637-15,862,547-111,037,829

More Examples

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