Q: What are the factor combinations of the number 356,021,545?

 A:
Positive:   1 x 3560215455 x 7120430911 x 3236559529 x 1227660555 x 6473119145 x 2455321319 x 11160551595 x 223211
Negative: -1 x -356021545-5 x -71204309-11 x -32365595-29 x -12276605-55 x -6473119-145 x -2455321-319 x -1116055-1595 x -223211


How do I find the factor combinations of the number 356,021,545?

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 356,021,545, 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.

1 356,021,545
-1 -356,021,545

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 356,021,545.

Example:
1 x 356,021,545 = 356,021,545
and
-1 x -356,021,545 = 356,021,545
Notice both answers equal 356,021,545

With that explanation out of the way, let's continue. Next, we take the number 356,021,545 and divide it by 2:

356,021,545 ÷ 2 = 178,010,772.5

If the quotient is a whole number, then 2 and 178,010,772.5 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:

1 356,021,545
-1 -356,021,545

Now, we try dividing 356,021,545 by 3:

356,021,545 ÷ 3 = 118,673,848.3333

If the quotient is a whole number, then 3 and 118,673,848.3333 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:

1 356,021,545
-1 -356,021,545

Let's try dividing by 4:

356,021,545 ÷ 4 = 89,005,386.25

If the quotient is a whole number, then 4 and 89,005,386.25 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:

1 356,021,545
-1 356,021,545
Keep dividing by the next highest number until you cannot divide anymore.

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

151129551453191,595223,2111,116,0552,455,3216,473,11912,276,60532,365,59571,204,309356,021,545
-1-5-11-29-55-145-319-1,595-223,211-1,116,055-2,455,321-6,473,119-12,276,605-32,365,595-71,204,309-356,021,545

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 356,021,545:


Ask a Question