Q: What are the factor combinations of the number 140,144,323?

 A:
Positive:   1 x 14014432311 x 1274039319 x 7376017157 x 892639209 x 6705471727 x 811492983 x 469814271 x 32813
Negative: -1 x -140144323-11 x -12740393-19 x -7376017-157 x -892639-209 x -670547-1727 x -81149-2983 x -46981-4271 x -32813


How do I find the factor combinations of the number 140,144,323?

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 140,144,323, 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.

1 140,144,323
-1 -140,144,323

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 140,144,323.

Example:
1 x 140,144,323 = 140,144,323
and
-1 x -140,144,323 = 140,144,323
Notice both answers equal 140,144,323

With that explanation out of the way, let's continue. Next, we take the number 140,144,323 and divide it by 2:

140,144,323 ÷ 2 = 70,072,161.5

If the quotient is a whole number, then 2 and 70,072,161.5 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:

1 140,144,323
-1 -140,144,323

Now, we try dividing 140,144,323 by 3:

140,144,323 ÷ 3 = 46,714,774.3333

If the quotient is a whole number, then 3 and 46,714,774.3333 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:

1 140,144,323
-1 -140,144,323

Let's try dividing by 4:

140,144,323 ÷ 4 = 35,036,080.75

If the quotient is a whole number, then 4 and 35,036,080.75 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:

1 140,144,323
-1 140,144,323
Keep dividing by the next highest number until you cannot divide anymore.

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

111191572091,7272,9834,27132,81346,98181,149670,547892,6397,376,01712,740,393140,144,323
-1-11-19-157-209-1,727-2,983-4,271-32,813-46,981-81,149-670,547-892,639-7,376,017-12,740,393-140,144,323

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 140,144,323:


Ask a Question