Q: What are the factor combinations of the number 177,423,701?

 A:
Positive:   1 x 1774237017 x 2534624313 x 1364797753 x 334761791 x 1949711371 x 478231689 x 2575094823 x 36787
Negative: -1 x -177423701-7 x -25346243-13 x -13647977-53 x -3347617-91 x -1949711-371 x -478231-689 x -257509-4823 x -36787


How do I find the factor combinations of the number 177,423,701?

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 177,423,701, 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.

1 177,423,701
-1 -177,423,701

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 177,423,701.

Example:
1 x 177,423,701 = 177,423,701
and
-1 x -177,423,701 = 177,423,701
Notice both answers equal 177,423,701

With that explanation out of the way, let's continue. Next, we take the number 177,423,701 and divide it by 2:

177,423,701 ÷ 2 = 88,711,850.5

If the quotient is a whole number, then 2 and 88,711,850.5 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:

1 177,423,701
-1 -177,423,701

Now, we try dividing 177,423,701 by 3:

177,423,701 ÷ 3 = 59,141,233.6667

If the quotient is a whole number, then 3 and 59,141,233.6667 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:

1 177,423,701
-1 -177,423,701

Let's try dividing by 4:

177,423,701 ÷ 4 = 44,355,925.25

If the quotient is a whole number, then 4 and 44,355,925.25 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:

1 177,423,701
-1 177,423,701
Keep dividing by the next highest number until you cannot divide anymore.

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

171353913716894,82336,787257,509478,2311,949,7113,347,61713,647,97725,346,243177,423,701
-1-7-13-53-91-371-689-4,823-36,787-257,509-478,231-1,949,711-3,347,617-13,647,977-25,346,243-177,423,701

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 177,423,701:


Ask a Question