Q: What are the prime factors of the number 610,155,252?

 A: 2, 3, 7, 113, 3061

Why are those the prime factors of the number 610,155,252?

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 610,155,252

610,155,252
Factor Arrows
2305,077,626
Factor Arrows
2152,538,813
Factor Arrows
350,846,271
Factor Arrows
316,948,757
Factor Arrows
72,421,251
Factor Arrows
7345,893
Factor Arrows
1133,061

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:

2, 3, 7, 113, 3061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 7 x 113 x 3,061 = 610,155,252

This can also be written as 22 x 32 x 72 x 1131 x 3,0611 = 610,155,252

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


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