Q: What are the prime factors of the number 37,802,295?

 A: 3, 5, 3457

Why are those the prime factors of the number 37,802,295?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 37,802,295

37,802,295
Factor Arrows
312,600,765
Factor Arrows
34,200,255
Factor Arrows
31,400,085
Factor Arrows
3466,695
Factor Arrows
3155,565
Factor Arrows
351,855
Factor Arrows
317,285
Factor Arrows
53,457

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 3457

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 3,457 = 37,802,295

This can also be written as 37 x 51 x 3,4571 = 37,802,295

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,802,295:


Ask a Question