Q: What are the factor combinations of the number 42,210,355?

 A:
Positive:   1 x 422103555 x 844207111 x 383730555 x 767461127 x 332365635 x 664731397 x 302156043 x 6985
Negative: -1 x -42210355-5 x -8442071-11 x -3837305-55 x -767461-127 x -332365-635 x -66473-1397 x -30215-6043 x -6985


How do I find the factor combinations of the number 42,210,355?

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 42,210,355, 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 42,210,355
-1 -42,210,355

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 42,210,355.

Example:
1 x 42,210,355 = 42,210,355
and
-1 x -42,210,355 = 42,210,355
Notice both answers equal 42,210,355

With that explanation out of the way, let's continue. Next, we take the number 42,210,355 and divide it by 2:

42,210,355 ÷ 2 = 21,105,177.5

If the quotient is a whole number, then 2 and 21,105,177.5 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 42,210,355
-1 -42,210,355

Now, we try dividing 42,210,355 by 3:

42,210,355 ÷ 3 = 14,070,118.3333

If the quotient is a whole number, then 3 and 14,070,118.3333 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 42,210,355
-1 -42,210,355

Let's try dividing by 4:

42,210,355 ÷ 4 = 10,552,588.75

If the quotient is a whole number, then 4 and 10,552,588.75 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 42,210,355
-1 42,210,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551276351,3976,0436,98530,21566,473332,365767,4613,837,3058,442,07142,210,355
-1-5-11-55-127-635-1,397-6,043-6,985-30,215-66,473-332,365-767,461-3,837,305-8,442,071-42,210,355

More Examples

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