Q: What are the factor combinations of the number 37,184,056?

 A:
Positive:   1 x 371840562 x 185920284 x 92960147 x 53120088 x 464800713 x 286031214 x 265600426 x 143015628 x 132800252 x 71507856 x 66400191 x 408616104 x 357539169 x 220024182 x 204308338 x 110012364 x 102154676 x 55006728 x 510771183 x 314321352 x 275032366 x 157163929 x 94644732 x 7858
Negative: -1 x -37184056-2 x -18592028-4 x -9296014-7 x -5312008-8 x -4648007-13 x -2860312-14 x -2656004-26 x -1430156-28 x -1328002-52 x -715078-56 x -664001-91 x -408616-104 x -357539-169 x -220024-182 x -204308-338 x -110012-364 x -102154-676 x -55006-728 x -51077-1183 x -31432-1352 x -27503-2366 x -15716-3929 x -9464-4732 x -7858


How do I find the factor combinations of the number 37,184,056?

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 37,184,056, 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 37,184,056
-1 -37,184,056

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 37,184,056.

Example:
1 x 37,184,056 = 37,184,056
and
-1 x -37,184,056 = 37,184,056
Notice both answers equal 37,184,056

With that explanation out of the way, let's continue. Next, we take the number 37,184,056 and divide it by 2:

37,184,056 ÷ 2 = 18,592,028

If the quotient is a whole number, then 2 and 18,592,028 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 18,592,028 37,184,056
-1 -2 -18,592,028 -37,184,056

Now, we try dividing 37,184,056 by 3:

37,184,056 ÷ 3 = 12,394,685.3333

If the quotient is a whole number, then 3 and 12,394,685.3333 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 2 18,592,028 37,184,056
-1 -2 -18,592,028 -37,184,056

Let's try dividing by 4:

37,184,056 ÷ 4 = 9,296,014

If the quotient is a whole number, then 4 and 9,296,014 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 4 9,296,014 18,592,028 37,184,056
-1 -2 -4 -9,296,014 -18,592,028 37,184,056
Keep dividing by the next highest number until you cannot divide anymore.

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

12478131426285256911041691823383646767281,1831,3522,3663,9294,7327,8589,46415,71627,50331,43251,07755,006102,154110,012204,308220,024357,539408,616664,001715,0781,328,0021,430,1562,656,0042,860,3124,648,0075,312,0089,296,01418,592,02837,184,056
-1-2-4-7-8-13-14-26-28-52-56-91-104-169-182-338-364-676-728-1,183-1,352-2,366-3,929-4,732-7,858-9,464-15,716-27,503-31,432-51,077-55,006-102,154-110,012-204,308-220,024-357,539-408,616-664,001-715,078-1,328,002-1,430,156-2,656,004-2,860,312-4,648,007-5,312,008-9,296,014-18,592,028-37,184,056

More Examples

Here are some more numbers to try:

37,184,05437,184,05537,184,05737,184,058
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