Q: What are the factor combinations of the number 145,070,623?

 A:
Positive:   1 x 14507062347 x 308660979 x 183633789 x 1630007439 x 3304573713 x 390714183 x 346817031 x 20633
Negative: -1 x -145070623-47 x -3086609-79 x -1836337-89 x -1630007-439 x -330457-3713 x -39071-4183 x -34681-7031 x -20633


How do I find the factor combinations of the number 145,070,623?

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 145,070,623, 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.

1 145,070,623
-1 -145,070,623

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 145,070,623.

Example:
1 x 145,070,623 = 145,070,623
and
-1 x -145,070,623 = 145,070,623
Notice both answers equal 145,070,623

With that explanation out of the way, let's continue. Next, we take the number 145,070,623 and divide it by 2:

145,070,623 ÷ 2 = 72,535,311.5

If the quotient is a whole number, then 2 and 72,535,311.5 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:

1 145,070,623
-1 -145,070,623

Now, we try dividing 145,070,623 by 3:

145,070,623 ÷ 3 = 48,356,874.3333

If the quotient is a whole number, then 3 and 48,356,874.3333 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:

1 145,070,623
-1 -145,070,623

Let's try dividing by 4:

145,070,623 ÷ 4 = 36,267,655.75

If the quotient is a whole number, then 4 and 36,267,655.75 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:

1 145,070,623
-1 145,070,623
Keep dividing by the next highest number until you cannot divide anymore.

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

14779894393,7134,1837,03120,63334,68139,071330,4571,630,0071,836,3373,086,609145,070,623
-1-47-79-89-439-3,713-4,183-7,031-20,633-34,681-39,071-330,457-1,630,007-1,836,337-3,086,609-145,070,623

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 145,070,623:


Ask a Question