Q: What are the factor combinations of the number 146,202,703?

 A:
Positive:   1 x 14620270317 x 860015971 x 205919389 x 16427271207 x 1211291361 x 1074231513 x 966316319 x 23137
Negative: -1 x -146202703-17 x -8600159-71 x -2059193-89 x -1642727-1207 x -121129-1361 x -107423-1513 x -96631-6319 x -23137


How do I find the factor combinations of the number 146,202,703?

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 146,202,703, 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.

1 146,202,703
-1 -146,202,703

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 146,202,703.

Example:
1 x 146,202,703 = 146,202,703
and
-1 x -146,202,703 = 146,202,703
Notice both answers equal 146,202,703

With that explanation out of the way, let's continue. Next, we take the number 146,202,703 and divide it by 2:

146,202,703 ÷ 2 = 73,101,351.5

If the quotient is a whole number, then 2 and 73,101,351.5 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:

1 146,202,703
-1 -146,202,703

Now, we try dividing 146,202,703 by 3:

146,202,703 ÷ 3 = 48,734,234.3333

If the quotient is a whole number, then 3 and 48,734,234.3333 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:

1 146,202,703
-1 -146,202,703

Let's try dividing by 4:

146,202,703 ÷ 4 = 36,550,675.75

If the quotient is a whole number, then 4 and 36,550,675.75 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:

1 146,202,703
-1 146,202,703
Keep dividing by the next highest number until you cannot divide anymore.

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

11771891,2071,3611,5136,31923,13796,631107,423121,1291,642,7272,059,1938,600,159146,202,703
-1-17-71-89-1,207-1,361-1,513-6,319-23,137-96,631-107,423-121,129-1,642,727-2,059,193-8,600,159-146,202,703

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 146,202,703:


Ask a Question