Q: What are the factor combinations of the number 36,200,280?

 A:
Positive:   1 x 362002802 x 181001403 x 120667604 x 90500705 x 72400566 x 60333808 x 452503510 x 362002812 x 301669015 x 241335220 x 181001424 x 150834530 x 120667640 x 90500760 x 603338120 x 301669
Negative: -1 x -36200280-2 x -18100140-3 x -12066760-4 x -9050070-5 x -7240056-6 x -6033380-8 x -4525035-10 x -3620028-12 x -3016690-15 x -2413352-20 x -1810014-24 x -1508345-30 x -1206676-40 x -905007-60 x -603338-120 x -301669


How do I find the factor combinations of the number 36,200,280?

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 36,200,280, 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 36,200,280
-1 -36,200,280

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 36,200,280.

Example:
1 x 36,200,280 = 36,200,280
and
-1 x -36,200,280 = 36,200,280
Notice both answers equal 36,200,280

With that explanation out of the way, let's continue. Next, we take the number 36,200,280 and divide it by 2:

36,200,280 ÷ 2 = 18,100,140

If the quotient is a whole number, then 2 and 18,100,140 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 18,100,140 36,200,280
-1 -2 -18,100,140 -36,200,280

Now, we try dividing 36,200,280 by 3:

36,200,280 ÷ 3 = 12,066,760

If the quotient is a whole number, then 3 and 12,066,760 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 12,066,760 18,100,140 36,200,280
-1 -2 -3 -12,066,760 -18,100,140 -36,200,280

Let's try dividing by 4:

36,200,280 ÷ 4 = 9,050,070

If the quotient is a whole number, then 4 and 9,050,070 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 9,050,070 12,066,760 18,100,140 36,200,280
-1 -2 -3 -4 -9,050,070 -12,066,760 -18,100,140 36,200,280
Keep dividing by the next highest number until you cannot divide anymore.

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

12345681012152024304060120301,669603,338905,0071,206,6761,508,3451,810,0142,413,3523,016,6903,620,0284,525,0356,033,3807,240,0569,050,07012,066,76018,100,14036,200,280
-1-2-3-4-5-6-8-10-12-15-20-24-30-40-60-120-301,669-603,338-905,007-1,206,676-1,508,345-1,810,014-2,413,352-3,016,690-3,620,028-4,525,035-6,033,380-7,240,056-9,050,070-12,066,760-18,100,140-36,200,280

More Examples

Here are some more numbers to try:

36,200,27836,200,27936,200,28136,200,282
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