Q: What are the factor combinations of the number 356,464,157?

 A:
Positive:   1 x 3564641577 x 50923451311 x 11461872177 x 163741
Negative: -1 x -356464157-7 x -50923451-311 x -1146187-2177 x -163741


How do I find the factor combinations of the number 356,464,157?

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 356,464,157, 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.

1 356,464,157
-1 -356,464,157

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 356,464,157.

Example:
1 x 356,464,157 = 356,464,157
and
-1 x -356,464,157 = 356,464,157
Notice both answers equal 356,464,157

With that explanation out of the way, let's continue. Next, we take the number 356,464,157 and divide it by 2:

356,464,157 ÷ 2 = 178,232,078.5

If the quotient is a whole number, then 2 and 178,232,078.5 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:

1 356,464,157
-1 -356,464,157

Now, we try dividing 356,464,157 by 3:

356,464,157 ÷ 3 = 118,821,385.6667

If the quotient is a whole number, then 3 and 118,821,385.6667 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:

1 356,464,157
-1 -356,464,157

Let's try dividing by 4:

356,464,157 ÷ 4 = 89,116,039.25

If the quotient is a whole number, then 4 and 89,116,039.25 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:

1 356,464,157
-1 356,464,157
Keep dividing by the next highest number until you cannot divide anymore.

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

173112,177163,7411,146,18750,923,451356,464,157
-1-7-311-2,177-163,741-1,146,187-50,923,451-356,464,157

More Examples

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