Q: What are the factor combinations of the number 42,224,525?

 A:
Positive:   1 x 422245255 x 84449057 x 603207525 x 168898135 x 120641549 x 861725175 x 241283245 x 1723451225 x 34469
Negative: -1 x -42224525-5 x -8444905-7 x -6032075-25 x -1688981-35 x -1206415-49 x -861725-175 x -241283-245 x -172345-1225 x -34469


How do I find the factor combinations of the number 42,224,525?

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 42,224,525, 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 42,224,525
-1 -42,224,525

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 42,224,525.

Example:
1 x 42,224,525 = 42,224,525
and
-1 x -42,224,525 = 42,224,525
Notice both answers equal 42,224,525

With that explanation out of the way, let's continue. Next, we take the number 42,224,525 and divide it by 2:

42,224,525 ÷ 2 = 21,112,262.5

If the quotient is a whole number, then 2 and 21,112,262.5 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 42,224,525
-1 -42,224,525

Now, we try dividing 42,224,525 by 3:

42,224,525 ÷ 3 = 14,074,841.6667

If the quotient is a whole number, then 3 and 14,074,841.6667 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 42,224,525
-1 -42,224,525

Let's try dividing by 4:

42,224,525 ÷ 4 = 10,556,131.25

If the quotient is a whole number, then 4 and 10,556,131.25 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 42,224,525
-1 42,224,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22534,469172,345241,283861,7251,206,4151,688,9816,032,0758,444,90542,224,525
-1-5-7-25-35-49-175-245-1,225-34,469-172,345-241,283-861,725-1,206,415-1,688,981-6,032,075-8,444,905-42,224,525

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