Q: What are the factor combinations of the number 370,020,572?

 A:
Positive:   1 x 3700205722 x 1850102864 x 9250514317 x 2176591634 x 1088295837 x 1000055641 x 902489268 x 544147974 x 500027882 x 4512446148 x 2500139164 x 2256223211 x 1753652289 x 1280348422 x 876826578 x 640174629 x 588268697 x 530876844 x 4384131156 x 3200871258 x 2941341394 x 2654381517 x 2439162516 x 1470672788 x 1327193034 x 1219583587 x 1031566068 x 609797174 x 515787807 x 473968651 x 4277210693 x 3460411849 x 3122814348 x 2578915614 x 2369817302 x 21386
Negative: -1 x -370020572-2 x -185010286-4 x -92505143-17 x -21765916-34 x -10882958-37 x -10000556-41 x -9024892-68 x -5441479-74 x -5000278-82 x -4512446-148 x -2500139-164 x -2256223-211 x -1753652-289 x -1280348-422 x -876826-578 x -640174-629 x -588268-697 x -530876-844 x -438413-1156 x -320087-1258 x -294134-1394 x -265438-1517 x -243916-2516 x -147067-2788 x -132719-3034 x -121958-3587 x -103156-6068 x -60979-7174 x -51578-7807 x -47396-8651 x -42772-10693 x -34604-11849 x -31228-14348 x -25789-15614 x -23698-17302 x -21386


How do I find the factor combinations of the number 370,020,572?

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 370,020,572, 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.

1 370,020,572
-1 -370,020,572

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 370,020,572.

Example:
1 x 370,020,572 = 370,020,572
and
-1 x -370,020,572 = 370,020,572
Notice both answers equal 370,020,572

With that explanation out of the way, let's continue. Next, we take the number 370,020,572 and divide it by 2:

370,020,572 ÷ 2 = 185,010,286

If the quotient is a whole number, then 2 and 185,010,286 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 2 185,010,286 370,020,572
-1 -2 -185,010,286 -370,020,572

Now, we try dividing 370,020,572 by 3:

370,020,572 ÷ 3 = 123,340,190.6667

If the quotient is a whole number, then 3 and 123,340,190.6667 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 2 185,010,286 370,020,572
-1 -2 -185,010,286 -370,020,572

Let's try dividing by 4:

370,020,572 ÷ 4 = 92,505,143

If the quotient is a whole number, then 4 and 92,505,143 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 92,505,143 185,010,286 370,020,572
-1 -2 -4 -92,505,143 -185,010,286 370,020,572
Keep dividing by the next highest number until you cannot divide anymore.

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

124173437416874821481642112894225786296978441,1561,2581,3941,5172,5162,7883,0343,5876,0687,1747,8078,65110,69311,84914,34815,61417,30221,38623,69825,78931,22834,60442,77247,39651,57860,979103,156121,958132,719147,067243,916265,438294,134320,087438,413530,876588,268640,174876,8261,280,3481,753,6522,256,2232,500,1394,512,4465,000,2785,441,4799,024,89210,000,55610,882,95821,765,91692,505,143185,010,286370,020,572
-1-2-4-17-34-37-41-68-74-82-148-164-211-289-422-578-629-697-844-1,156-1,258-1,394-1,517-2,516-2,788-3,034-3,587-6,068-7,174-7,807-8,651-10,693-11,849-14,348-15,614-17,302-21,386-23,698-25,789-31,228-34,604-42,772-47,396-51,578-60,979-103,156-121,958-132,719-147,067-243,916-265,438-294,134-320,087-438,413-530,876-588,268-640,174-876,826-1,280,348-1,753,652-2,256,223-2,500,139-4,512,446-5,000,278-5,441,479-9,024,892-10,000,556-10,882,958-21,765,916-92,505,143-185,010,286-370,020,572

More Examples

Here are some more numbers to try:

370,020,570370,020,571370,020,573370,020,574
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