Q: What are the factor combinations of the number 63,420,013?

 A:
Positive:   1 x 6342001317 x 373058929 x 2186897197 x 321929493 x 128641653 x 971213349 x 189375713 x 11101
Negative: -1 x -63420013-17 x -3730589-29 x -2186897-197 x -321929-493 x -128641-653 x -97121-3349 x -18937-5713 x -11101


How do I find the factor combinations of the number 63,420,013?

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 63,420,013, 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 63,420,013
-1 -63,420,013

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 63,420,013.

Example:
1 x 63,420,013 = 63,420,013
and
-1 x -63,420,013 = 63,420,013
Notice both answers equal 63,420,013

With that explanation out of the way, let's continue. Next, we take the number 63,420,013 and divide it by 2:

63,420,013 ÷ 2 = 31,710,006.5

If the quotient is a whole number, then 2 and 31,710,006.5 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 63,420,013
-1 -63,420,013

Now, we try dividing 63,420,013 by 3:

63,420,013 ÷ 3 = 21,140,004.3333

If the quotient is a whole number, then 3 and 21,140,004.3333 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 63,420,013
-1 -63,420,013

Let's try dividing by 4:

63,420,013 ÷ 4 = 15,855,003.25

If the quotient is a whole number, then 4 and 15,855,003.25 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 63,420,013
-1 63,420,013
Keep dividing by the next highest number until you cannot divide anymore.

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

117291974936533,3495,71311,10118,93797,121128,641321,9292,186,8973,730,58963,420,013
-1-17-29-197-493-653-3,349-5,713-11,101-18,937-97,121-128,641-321,929-2,186,897-3,730,589-63,420,013

More Examples

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