Q: What are the factor combinations of the number 224,042,035?

 A:
Positive:   1 x 2240420355 x 448084077 x 3200600535 x 6401201241 x 9296351205 x 1859271687 x 1328058435 x 26561
Negative: -1 x -224042035-5 x -44808407-7 x -32006005-35 x -6401201-241 x -929635-1205 x -185927-1687 x -132805-8435 x -26561


How do I find the factor combinations of the number 224,042,035?

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 224,042,035, 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.

1 224,042,035
-1 -224,042,035

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 224,042,035.

Example:
1 x 224,042,035 = 224,042,035
and
-1 x -224,042,035 = 224,042,035
Notice both answers equal 224,042,035

With that explanation out of the way, let's continue. Next, we take the number 224,042,035 and divide it by 2:

224,042,035 ÷ 2 = 112,021,017.5

If the quotient is a whole number, then 2 and 112,021,017.5 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:

1 224,042,035
-1 -224,042,035

Now, we try dividing 224,042,035 by 3:

224,042,035 ÷ 3 = 74,680,678.3333

If the quotient is a whole number, then 3 and 74,680,678.3333 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:

1 224,042,035
-1 -224,042,035

Let's try dividing by 4:

224,042,035 ÷ 4 = 56,010,508.75

If the quotient is a whole number, then 4 and 56,010,508.75 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:

1 224,042,035
-1 224,042,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157352411,2051,6878,43526,561132,805185,927929,6356,401,20132,006,00544,808,407224,042,035
-1-5-7-35-241-1,205-1,687-8,435-26,561-132,805-185,927-929,635-6,401,201-32,006,005-44,808,407-224,042,035

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