Q: What are the factor combinations of the number 520,370,053?

 A:
Positive:   1 x 5203700537 x 7433857949 x 106197973011 x 1728233527 x 14753921077 x 24689
Negative: -1 x -520370053-7 x -74338579-49 x -10619797-3011 x -172823-3527 x -147539-21077 x -24689


How do I find the factor combinations of the number 520,370,053?

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 520,370,053, 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.

1 520,370,053
-1 -520,370,053

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 520,370,053.

Example:
1 x 520,370,053 = 520,370,053
and
-1 x -520,370,053 = 520,370,053
Notice both answers equal 520,370,053

With that explanation out of the way, let's continue. Next, we take the number 520,370,053 and divide it by 2:

520,370,053 ÷ 2 = 260,185,026.5

If the quotient is a whole number, then 2 and 260,185,026.5 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:

1 520,370,053
-1 -520,370,053

Now, we try dividing 520,370,053 by 3:

520,370,053 ÷ 3 = 173,456,684.3333

If the quotient is a whole number, then 3 and 173,456,684.3333 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:

1 520,370,053
-1 -520,370,053

Let's try dividing by 4:

520,370,053 ÷ 4 = 130,092,513.25

If the quotient is a whole number, then 4 and 130,092,513.25 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:

1 520,370,053
-1 520,370,053
Keep dividing by the next highest number until you cannot divide anymore.

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

17493,0113,52721,07724,689147,539172,82310,619,79774,338,579520,370,053
-1-7-49-3,011-3,527-21,077-24,689-147,539-172,823-10,619,797-74,338,579-520,370,053

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 520,370,053:


Ask a Question