Q: What are the factor combinations of the number 70,236,731?

 A:
Positive:   1 x 7023673131 x 226570141 x 171309173 x 962147757 x 927831271 x 552612263 x 310372993 x 23467
Negative: -1 x -70236731-31 x -2265701-41 x -1713091-73 x -962147-757 x -92783-1271 x -55261-2263 x -31037-2993 x -23467


How do I find the factor combinations of the number 70,236,731?

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 70,236,731, 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 70,236,731
-1 -70,236,731

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 70,236,731.

Example:
1 x 70,236,731 = 70,236,731
and
-1 x -70,236,731 = 70,236,731
Notice both answers equal 70,236,731

With that explanation out of the way, let's continue. Next, we take the number 70,236,731 and divide it by 2:

70,236,731 ÷ 2 = 35,118,365.5

If the quotient is a whole number, then 2 and 35,118,365.5 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 70,236,731
-1 -70,236,731

Now, we try dividing 70,236,731 by 3:

70,236,731 ÷ 3 = 23,412,243.6667

If the quotient is a whole number, then 3 and 23,412,243.6667 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 70,236,731
-1 -70,236,731

Let's try dividing by 4:

70,236,731 ÷ 4 = 17,559,182.75

If the quotient is a whole number, then 4 and 17,559,182.75 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 70,236,731
-1 70,236,731
Keep dividing by the next highest number until you cannot divide anymore.

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

13141737571,2712,2632,99323,46731,03755,26192,783962,1471,713,0912,265,70170,236,731
-1-31-41-73-757-1,271-2,263-2,993-23,467-31,037-55,261-92,783-962,147-1,713,091-2,265,701-70,236,731

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 70,236,731:


Ask a Question