Q: What are the factor combinations of the number 401,563,175?

 A:
Positive:   1 x 4015631755 x 8031263513 x 3088947525 x 1606252765 x 6177895191 x 2102425325 x 1235579955 x 4204852483 x 1617254775 x 840976469 x 6207512415 x 32345
Negative: -1 x -401563175-5 x -80312635-13 x -30889475-25 x -16062527-65 x -6177895-191 x -2102425-325 x -1235579-955 x -420485-2483 x -161725-4775 x -84097-6469 x -62075-12415 x -32345


How do I find the factor combinations of the number 401,563,175?

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 401,563,175, 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.

1 401,563,175
-1 -401,563,175

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 401,563,175.

Example:
1 x 401,563,175 = 401,563,175
and
-1 x -401,563,175 = 401,563,175
Notice both answers equal 401,563,175

With that explanation out of the way, let's continue. Next, we take the number 401,563,175 and divide it by 2:

401,563,175 ÷ 2 = 200,781,587.5

If the quotient is a whole number, then 2 and 200,781,587.5 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:

1 401,563,175
-1 -401,563,175

Now, we try dividing 401,563,175 by 3:

401,563,175 ÷ 3 = 133,854,391.6667

If the quotient is a whole number, then 3 and 133,854,391.6667 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:

1 401,563,175
-1 -401,563,175

Let's try dividing by 4:

401,563,175 ÷ 4 = 100,390,793.75

If the quotient is a whole number, then 4 and 100,390,793.75 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:

1 401,563,175
-1 401,563,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651913259552,4834,7756,46912,41532,34562,07584,097161,725420,4851,235,5792,102,4256,177,89516,062,52730,889,47580,312,635401,563,175
-1-5-13-25-65-191-325-955-2,483-4,775-6,469-12,415-32,345-62,075-84,097-161,725-420,485-1,235,579-2,102,425-6,177,895-16,062,527-30,889,475-80,312,635-401,563,175

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