Q: What are the factor combinations of the number 252,240,564?

 A:
Positive:   1 x 2522405642 x 1261202823 x 840801884 x 630601416 x 4204009412 x 2102004771 x 3552684137 x 1841172142 x 1776342213 x 1184228274 x 920586284 x 888171411 x 613724426 x 592114548 x 460293822 x 306862852 x 2960571644 x 1534312161 x 1167244322 x 583626483 x 389088644 x 291819727 x 2593212966 x 19454
Negative: -1 x -252240564-2 x -126120282-3 x -84080188-4 x -63060141-6 x -42040094-12 x -21020047-71 x -3552684-137 x -1841172-142 x -1776342-213 x -1184228-274 x -920586-284 x -888171-411 x -613724-426 x -592114-548 x -460293-822 x -306862-852 x -296057-1644 x -153431-2161 x -116724-4322 x -58362-6483 x -38908-8644 x -29181-9727 x -25932-12966 x -19454


How do I find the factor combinations of the number 252,240,564?

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 252,240,564, 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.

1 252,240,564
-1 -252,240,564

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 252,240,564.

Example:
1 x 252,240,564 = 252,240,564
and
-1 x -252,240,564 = 252,240,564
Notice both answers equal 252,240,564

With that explanation out of the way, let's continue. Next, we take the number 252,240,564 and divide it by 2:

252,240,564 ÷ 2 = 126,120,282

If the quotient is a whole number, then 2 and 126,120,282 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 126,120,282 252,240,564
-1 -2 -126,120,282 -252,240,564

Now, we try dividing 252,240,564 by 3:

252,240,564 ÷ 3 = 84,080,188

If the quotient is a whole number, then 3 and 84,080,188 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 84,080,188 126,120,282 252,240,564
-1 -2 -3 -84,080,188 -126,120,282 -252,240,564

Let's try dividing by 4:

252,240,564 ÷ 4 = 63,060,141

If the quotient is a whole number, then 4 and 63,060,141 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 63,060,141 84,080,188 126,120,282 252,240,564
-1 -2 -3 -4 -63,060,141 -84,080,188 -126,120,282 252,240,564
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612711371422132742844114265488228521,6442,1614,3226,4838,6449,72712,96619,45425,93229,18138,90858,362116,724153,431296,057306,862460,293592,114613,724888,171920,5861,184,2281,776,3421,841,1723,552,68421,020,04742,040,09463,060,14184,080,188126,120,282252,240,564
-1-2-3-4-6-12-71-137-142-213-274-284-411-426-548-822-852-1,644-2,161-4,322-6,483-8,644-9,727-12,966-19,454-25,932-29,181-38,908-58,362-116,724-153,431-296,057-306,862-460,293-592,114-613,724-888,171-920,586-1,184,228-1,776,342-1,841,172-3,552,684-21,020,047-42,040,094-63,060,141-84,080,188-126,120,282-252,240,564

More Examples

Here are some more numbers to try:

252,240,562252,240,563252,240,565252,240,566
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